NAKAMURA Makoto 中村誠

Researcher Number	70312634
Other IDs
Affiliation (Current)	2025: 大阪大学, 大学院情報科学研究科, 教授
Affiliation (based on the past Project Information) *help	2022 – 2024: 大阪大学, 大学院情報科学研究科, 教授 2011 – 2021: 山形大学, 理学部, 教授 2020: 大阪大学, 大学院情報科学研究科, 教授 2011 – 2012: 東北大学, 理学(系)研究科(研究院), 准教授 2007 – 2012: Tohoku University, Graduate School of Science, Associate Professor … More 2006: Tohoku University, Graduate School of Science, Associate Professor, 大学院理学研究科, 助教授 2005 – 2006: 東北大学, 大学院・理学研究科, 助教授 1999 – 2004: 東北大学, 大学院・情報科学研究科, 助手 2003: 東北大, 情報科学研究科, 助手 Less
Review Section/Research Field	Principal Investigator Basic analysis / Medium-sized Section 12:Analysis, applied mathematics, and related fields / Global analysis / Basic analysis Except Principal Investigator Basic analysis / Global analysis / Basic Section 12040:Applied mathematics and statistics-related / Basic Section 12020:Mathematical analysis-related / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Mathematical analysis
Keywords	Principal Investigator 初期値問題 / 非線形 / 波動方程式 / 偏微分方程式 / 偏微分方程式論 / 大域可解性 / 漸近挙動 / 一様等方計量 / 爆発解 / 一様等方時空 … More / アインシュタイン方程式 / クライン・ゴルドン方程式 / 分散型方程式 / 境界値問題 / 外部問題 / ストリッカーズ評価 / シュレディンガー方程式 / 相対性理論 / 相対論的流体方程式 / 爆発解析 / 大域解析 / 非線形クライン・ゴルドン方程式 / 非線形場 / 一様等方空間 / ド・ジッター計量 / 偏微分発定式 / プロカ方程式 / 放物型方程式 / 計量 / 非線形波動方程式 / ストリッカーツ評価 / 非線形シュレディンガー方程式 / 適切性 / 零条件 / 時間大域解 / 長時間解 / 消散型波動方程式 / 関数方程式 / マクスウェル・シュレディンガー方程式 / ディラック方程式 / 局所エネルギー減衰 / ディリクレ条件 / ソボレフ空間 / クラインゴルドン方程式 … More Except Principal Investigator 適切性 / Navier-Stokes方程式 / 自己相似解 / 非線形偏微分方程式 / 解の漸近挙動 / 波動方程式 / 分散型方程式 / 非線形シュレディンガー方程式 / 調和解析学 / ランダム行列 / 曲がった時空 / 非線形分散型方程式 / 時空間評価 / 爆発解 / 数値解析 / 双曲型偏微分方程式 / 偏微分方程式 / 解の時空間評価 / 非線形 Schrodinger 方程式 / 平滑化効果 / 非線型波動方程式 / Euler方程式 / Triebel-Lizorkin空間 / Besov空間 / ナビエ・ストークス方程式 / ハミルトン力学系 / 時間大域解 / 非線形Schrodinger方程式 / 走化性粘菌モデル / 半導体シュミレーション / 臨界密度 / 移流拡散方程式 / 臨界型Sobolev不等式 / 非局所放物型方程式 / 臨界指数 / 最大正則性定理 / Navier-Stokes 方程式 / Keller-Segel 方程式系 / 関数解析学 / 大偏差原理 / 自由確率論 / 自由エントロピー / 作用素環 / 境界値問題 / Maxwell-Schrodinger 方程式 / エネルギー運動量保存則 / Klein--Gordon方程式 / 構造保存型数値計算 / Klein-Gordon方程式 / 発展型偏微分方程式 / 完全流体 / 構造保存型数値解法 / Strichartz 型評価 / Benjamin-Ono 方程式 / Maxwell 方程式 / 連立系 / 解の時間大域的挙動 / Schrodinger 方程式 / mean curvature flow / Critical Sobolev inequality / Naveir-Stokes equations / nonlinear damped wave equations / Chemotaxis / semiconductor simulation / drift-diffusion equations / nonl-local parabolic equations / 複数Ginzburg-Landau方程式 / 半導体素子方程式 / 複素Ginzburg-Landau方程式 / Dirac方程式 / 解の正則性条件 / 調和写像流 / ゲージ変換 / 対数型臨界Sobolev不等式 / Schroedinger写像 / 鉄磁性モデル / 粘性解 / 数値アルゴリズム / 熱方程式 / 圧縮性ナビエ-ストークス方程式 / 非線形波動方程式 / 平均曲率流 / ナビエ-ストークス方程式 / 非線形消散型波動方程式 / 走化粘性菌モデル / 非局所方物型方程式 / Stokes operator / Non-compact boundary / Helmholtz-Weyl decomposition / Turbulent Solutions / Scaling invariance / Very weak Solutions / Leray-Hopf Class / Navier-Stokes Equations / BMO / 特異積分作用素 / L^p-L^q評価 / 一意性 / paraproduct formula / 双線形評価式 / Littlewood-Paley分解 / BMO関数 / 渦度の方程式 / 関数空間論 / 基本解の評価 / 半群の理論 / 大域解 / ベゾフ空間 / エネルギー不等式 / 平均振動 / 渦度ベクトル / コーシー問題 / Stokes作用素 / 非コンパクト境界 / Helmholtz-Weyl分解 / 乱流解 / スケール不変空間 / 超弱解 / Leray-Hopfクラス / Poisson integral / Klein-Gordon equation / Cauchy-Riemann equation / Orlicz-norm / grand maximal function / non-tangential maximal function / vertical maximal function / Hardy space / 疑似双直交基 / 疑似直交基 / 岩澤不変量 / 振動レイマン境界条件 / 直行最大関数 / 渦度方程式 / クレイン・ゴードン方程式 / コーシー・リーマンの方程式 / オルリッツ空間 / ハーディー空関 / ポアソン積分 / クレイ・ゴードン方程式 / コーシー・リーマン方程式 / オルリッツ・ノルム / グランド最大関数 / 非接最大関数 / 直交最大関数 / ハーディー空間 / spline approximation / numerical scheme / Hamiltonian dynamics / semi-discretization / collocation method / Toda equation / partial differential equation / wavelet / 雑音除去 / 運動ロボット / ルンゲークッタ / シュレーディンガー方程式 / エルゴード制御 / 差分スキーム / 弱l^Pノルム / 分散なし戸田方程式 / ウェイヴレット展開 / エネルギー保存差分スキーム / スプライン近似 / 数値計算スキーム / ハミルトン力学 / 半離散化 / 選点法 / 戸田方程式 / ウェイヴレット / Regularity of solutions / Nonlinear scattering theory / Nonlinear Schrodinger equations / Nonlinear Klein-Gordon equations / Nonlinear wave equations / Harkree方程式 / 非線型Schrodinger方程式 / 非線型Klein-Gordon方程式 / 非線型散乱 / 非線型クライン・ゴルドン方程式 / 解の滑らかさ / 非線型散乱理論 / 非線型シュレディンガー方程式 / 非線型クラインゴルドン方程式 / 偏微分方程式の適切性 / Strichartz 評価 / 非線形偏異聞方程式 / 国際研究者交流(アメリカ） / 遠方場 / 解の爆発 / 漸近的に平坦な計量 / エネルギースペクトル / 線形応答理論 / ウェーブレット解析 / 乱流の普遍原理 / 回転流体 / Betti数 / Navier-Stoeks 方程式 / compensated compactness / Keller-Siegel方程式系 / Garding の不等式 / Lax-Milgram の定理 / 周期解 / Leray-Fujita の不等式 / 指数漸近安定 / Stokes 方程式 / 漸近安定 / 調和ベクトル場 / 流量条件 / 信頼性評価 / 情報縮約手法 / 乱流の普遍性 / 漸近解析 / 大域的適切性 / 国際情報交換（中国） / 国際情報交換（アメリカ） / 国際研究者交流（オーストラリア） / 国際研究者交流（アメリカ） / 共形幾何 / リーマン計量の変形理論 / コーシー初期条件 / リーマン計量 / 極小曲面 / 発展方程式 / アインシュタイン方程式 / 散乱理論 / 時間大域解存在 / 重み付き関数 / ハートリー型 / 漸近挙動 / 散乱問題 / ハートリータイプ / ディラック方程式 / 函数方程式論 / 相互作用 / 非線形熱方程式 / 臨界空間 / 消散型波動方程式 / entropy汎函数 / 最大正則性 / 漸近展開 / drift-diffusion system / 最大正則性原理 / 有限時刻爆発 / 質量臨界 / ソボレフ臨界指数 / 退化移流拡散方程式 / モデュレーション空間 / 斉次Besov空間 / 時間局所適切性 / 非線形ｼｭﾚﾃﾞｨﾝｶﾞｰ方程式 / 非斉次境界値問題 / 強エネルギー不等式 / 局所存在定理 / タイプII型爆発解 / タイプI型爆発解 / keller-Segel系 / 関数方程式 / L＾p-L＾r-型評価 / 時間大域的弱解 / 弱解の一意性 / 偏微分方程式論 / 非線形解析学 / 対数Sobolev不等式 / 自由エントロピート次元 / 無限分解可能 / 量子フィッシャー情報量 / 輸送コスト不等式 / 対数ソボレフ不等式 / 自由情報量 / 自由エントロピー次元 / 自由群環境 / トレース不等式 / 大倫差原理 / 自由確立論 / 作用素 Less

曲がった時空中における偏微分方程式の爆発解に関する研究
- Principal Investigator
  
  土屋拓也
- Project Period (FY)
  2024 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Meiji Gakuin University
非線形分散型方程式の時空間評価と適切性，解の挙動に関する研究
- Principal Investigator
  
  和田健志
- Project Period (FY)
  2023 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Shimane University
相対論的流体方程式の研究Principal Investigator
- Principal Investigator
  
  中村誠
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Osaka University
On the construction of a high-precision numerical calculation method for time-evolving partial differential equations
- Principal Investigator
  
  TSUCHIYA Takuya
- Project Period (FY)
  2021 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Meiji Gakuin University
  Hachinohe Institute of Technology
Research for the Cauchy problem for nonlinear Klein-Gordon equations in homogeneous and isotropic spacesPrincipal Investigator
- Principal Investigator
  
  Nakamura Makoto
- Project Period (FY)
  2018 – 2023
- Research Category
  
  Fund for the Promotion of Joint International Research (Fostering Joint International Research)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
  Yamagata University
Spacetime estimates for dispersive equations and applications to nonlinear prooblems
- Principal Investigator
  
  Wada Takeshi
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Shimane University
Comprehensive research of Einstein's equations based on analysisPrincipal Investigator
- Principal Investigator
  
  Nakamura Makoto
- Project Period (FY)
  2016 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
  Yamagata University
Well-poshness and asymptotic behaviour of solutions to nonlinear partial differential equations describing interaction between several fields
- Principal Investigator
  
  Wada Takeshi
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Shimane University
  Kumamoto University
Mathematical Theory of turbulence by the method of modern analysis and computational science
- Principal Investigator
  
  KOZONO HIDEO
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Basic analysis
- Research Institution
  Waseda University
Global behavior for nonlinear wave
- Principal Investigator
  
  Kubo Hideo
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
On geometric analysis related to the Cosmic Censorship Conjecture
- Principal Investigator
  
  YAMADA Sumio
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Gakushuin University
  Tohoku University
Research on initial and boundary value problems, and space-time estimates for nonlinear partial differential equationsPrincipal Investigator
- Principal Investigator
  
  NAKAMURA Makoto
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (A)
- Research Field
  
  Global analysis
- Research Institution
  Yamagata University
  Tohoku University
Mathematical analysis of nonlinear partial differential equations describing interaction of several fields
- Principal Investigator
  
  WADA Takeshi
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kumamoto University
On analysis of interacting nonlocal waves
- Principal Investigator
  
  TSUTAYA Kimitoshi
- Project Period (FY)
  2009 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Hirosaki University
  Hokkaido University
Theory of global well-posedness on the nonlinear partial differential equations
- Principal Investigator
  
  KOZONO Hideo
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Basic analysis
- Research Institution
  Waseda University
  Tohoku University
Research for Critical Asymptotic Structure of Nonlinear Evolution Equations
- Principal Investigator
  
  OGAWA Takayoshi
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Initial and boundary value problems for nonlinear dispersive wave equationsPrincipal Investigator
- Principal Investigator
  
  NAKAMURA Makoto
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Young Scientists (A)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Study of free probability and operator algebras based on random matrices
- Principal Investigator
  
  HIAI Fumio
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
非線形波動方程式系のディリクレ条件下での外部問題Principal Investigator
- Principal Investigator
  
  中村誠
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
United theory of existence of global solution and its asymptotic behavior to the nonlinear partial differential equations
- Principal Investigator
  
  KOZONO Hideo
- Project Period (FY)
  2003 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Reseach for the singularities and regularity of solutions to crtical nonlinear partial differential equations
- Principal Investigator
  
  OGAWA Takayoshi
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
  Kyushu University
非線形クライン-ゴルドン方程式とベンジャミン-オノ方程式の時間大域可解性の研究Principal Investigator
- Principal Investigator
  
  中村誠
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Characterizations of real Hardy spaces and functional analysis
- Principal Investigator
  
  KANEKO Makoto
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  TOHOKU University
自由確率変数の作用素論的研究
- Principal Investigator
  
  HIAI Fumio
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Numerical Analysis for Inverse Problems and Applications of Wavelet Analysis
- Principal Investigator
  
  OKADA Masami
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Metropolitan University
  Tohoku University
Functional analytic study on global structures of nonlinear fields
- Principal Investigator
  
  OZAWA Tohru
- Project Period (FY)
  1997 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (A).
- Research Field
  
  解析学
- Research Institution
  HOKKAIDO UNIVERSITY

[Book] Einstein方程式の初期値問題2009
- Author(s)
  中村誠
- Total Pages
  31
- Publisher
  講義録
- Data Source
  KAKENHI-PROJECT-19684002
[Book] 非線形波動方程式の外部問題について2007
- Author(s)
  中村誠
- Publisher
  日本数学会, 2007年度秋季総合分科会, 函数方程式論分科会, 講演アブストラクト
- Data Source
  KAKENHI-PROJECT-19684002
[Journal Article] Optimal L∞-decay rate of solutions to a dissipative nonlinear Schrodinger equation system2024
- Author(s)
  N. Kita, Y. Nakamura, Y. Sagawa
- Journal Title
  
  Proceedings of the 14th International ISAAC
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K03183
[Journal Article] The Cauchy problem for a semilinear ordinary differential equation in the homogeneous and isotropic spacetime2023
- Author(s)
  M. Nakamura
- Journal Title
  
  Tsukuba Journal of Mathematics
  
  Volume: 43 Pages: 153-189
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03354
[Journal Article] Numerical accuracy and stability of semilinear Klein-Gordon equation in de Sitter spacetime2023
- Author(s)
  T. Tsuchiya, M. Nakamura
- Journal Title
  
  JSIAM Letters
  
  Volume: 15 Pages: 45-48
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K03183
[Journal Article] The Cauchy problem for a semilinear ordinary differential equation in the homogeneous and isotropic spacetime2023
- Author(s)
  M. Nakamura
- Journal Title
  
  Tsukuba Journal of Mathematics
  
  Volume: 47 Pages: 153-189
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K18671
[Journal Article] The Cauchy problem for a semilinear ordinary differential equation in the homogeneous and isotropic spacetime2023
- Author(s)
  M. Nakamura
- Journal Title
  
  Tsukuba Journal of Mathematics
  
  Volume: 47 Pages: 153-189
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K03183
[Journal Article] Numerical accuracy and stability of semilinear Klein-Gordon equation in de Sitter spacetime2023
- Author(s)
  T. Tsuchiya, M. Nakamura
- Journal Title
  
  JSIAM Letters
  
  Volume: 15 Pages: 45-48
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K18671
[Journal Article] Numerical accuracy and stability of semilinear Klein–Gordon equation in de Sitter spacetime2023
- Author(s)
  Tsuchiya Takuya、Nakamura Makoto
- Journal Title
  
  JSIAM Letters
  
  Volume: 15 Issue: 0 Pages: 45-48
- DOI
  10.14495/jsiaml.15.45
- ISSN
  1883-0609, 1883-0617
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K03354, KAKENHI-PROJECT-20K03740
[Journal Article] Numerical accuracy and stability of semilinear Klein-Gordon equation in de Sitter spacetime2023
- Author(s)
  T. Tsuchiya, M. Nakamura
- Journal Title
  
  JSIAM Letters
  
  Volume: 15 Pages: 45-48
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17KK0082
[Journal Article] On the Cauchy problem for the Hartree type semilinear Schroedinger equation in the de Sitter spacetime2023
- Author(s)
  M. Ichimiya, M. Nakamura
- Journal Title
  
  Evolution Equations and Control Theory
  
  Volume: 12 Issue: 6 Pages: 1602-1628
- DOI
  10.3934/eect.2023028
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K18671, KAKENHI-PROJECT-23K03183, KAKENHI-PROJECT-21K03354, KAKENHI-PROJECT-17KK0082
[Journal Article] The Cauchy problem for a semilinear ordinary differential equation in the homogeneous and isotropic spacetime2023
- Author(s)
  M. Nakamura
- Journal Title
  
  Tsukuba Journal of Mathematics
  
  Volume: 47 Pages: 153-189
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17KK0082
[Journal Article] On the Cauchy problem for the Klein-Gordon equation with the Hartree type semilinear term in the de Sitter spacetime2021
- Author(s)
  M. Nakamura; H. Takashima
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 34 Pages: 351-382
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03370
[Journal Article] EXISTENCE AND NON-EXISTENCE OF GLOBAL SOLUTIONS FOR THE SEMILINEAR COMPLEX GINZBURG-LANDAU TYPE EQUATION IN HOMOGENEOUS AND ISOTROPIC SPACETIME2021
- Author(s)
  NAKAMURA Makoto; SATO Yuya
- Journal Title
  
  Kyushu Journal of Mathematics
  
  Volume: 75 Issue: 2 Pages: 169-209
- DOI
  10.2206/kyushujm.75.169
- NAID
  130008101303
- ISSN
  1340-6116, 1883-2032
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03370, KAKENHI-PROJECT-21K03354, KAKENHI-PROJECT-17KK0082
[Journal Article] On the Cauchy problem for the semilinear Proca equations in the de Sitter spacetime2021
- Author(s)
  Nakamura, Makoto
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 270 Pages: 1218-1257
- DOI
  10.1016/j.jde.2020.09.015
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03370, KAKENHI-PROJECT-17KK0082, KAKENHI-PROJECT-16H03940
[Journal Article] On the Cauchy problem for the Klein-Gordon equation with the Hartree type semilinear term in the de Sitter spacetime2021
- Author(s)
  M. Nakamura, H. Takashima
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 34
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17KK0082
[Journal Article] On the Cauchy problem for the Klein-Gordon equation with the Hartree type semilinear term in the de Sitter spacetime2021
- Author(s)
  M. Nakamura, H. Takashima
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 34
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03354
[Journal Article] Remarks on the Navier-Stokes equations and the elastic wave equations in homogeneous and isotropic spacetimes2020
- Author(s)
  Nakamura, Makoto
- Journal Title
  
  Tsukuba Journal of Mathematics
  
  Volume: 44 Issue: 2
- DOI
  10.21099/tkbjm/20204402271
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03370
[Journal Article] On some effects of background metrics for several partial differential equations2020
- Author(s)
  Nakamura, Makoto
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 85
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03370
[Journal Article] Asymptotic behaviors of global solutions for a semilinear diffusion equation in the de Sitter spacetime2020
- Author(s)
  Nakamura Makoto; Takeda, Hiroshi
- Journal Title
  
  Asymptotic Analysis
  
  Volume: － Issue: 3-4 Pages: 203-245
- DOI
  10.3233/asy-201652
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03596, KAKENHI-PROJECT-18K03370, KAKENHI-PROJECT-21K03354, KAKENHI-PROJECT-17KK0082, KAKENHI-PROJECT-16H03940
[Journal Article] Remarks on the Navier-Stokes equations and the elastic wave equations in homogeneous and isotropic spacetimes2020
- Author(s)
  M. Nakamura,
- Journal Title
  
  Tsukuba Journal of Mathematics
  
  Volume: 44 Pages: 271-308
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17KK0082
[Journal Article] Remarks on the Navier-Stokes equations and the elastic wave equations in homogeneous and isotropic spacetimes2020
- Author(s)
  M. Nakamura
- Journal Title
  
  Tsukuba Journal of Mathematics
  
  Volume: 44, no. 2,
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03940
[Journal Article] Remarks on the derivation of several second order partial differential equations from a generalization of the Einstein equations2020
- Author(s)
  M. Nakamura,
- Journal Title
  
  Osaka J. Math.
  
  Volume: 57 Pages: 305-331
- NAID
  120006846161
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17KK0082
[Journal Article] On the nonrelativistic limit of a semilinear field equation in a homogeneous and isotropic space2020
- Author(s)
  Nakamura, Makoto
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 60 Issue: 4
- DOI
  10.1215/21562261-2019-0063
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03370
[Journal Article] Remarks on global solutions for the semilinear diffusion equation in the de Sitter spacetime2020
- Author(s)
  M. Nakamura, Y. Sato
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume: 49
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03940
[Journal Article] On some effects of background metrics for several partial differential equations2020
- Author(s)
  M. Nakamura
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 85 Pages: 315-324
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03940
[Journal Article] On the nonrelativistic limit of a semilinear field equation in a homogeneous and isotropic space2020
- Author(s)
  M. Nakamura
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 60, No. 4,
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03940
[Journal Article] Remarks on the derivation of several second order partial differential equations from a generalization of the Einstein equations2020
- Author(s)
  M. Nakamura,
- Journal Title
  
  Osaka J. Math.
  
  Volume: 57 Pages: 305-331
- NAID
  120006846161
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03940
[Journal Article] Remarks on global solutions for the semilinear diffusion equation in the de Sitter spacetime2020
- Author(s)
  M. Nakamura, Y. Sato,
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume: 49 Pages: 481-508
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17KK0082
[Journal Article] Remarks on the derivation of several second order partial differential equations from a generalization of the Einstein equations2020
- Author(s)
  Nakamura, Makoto
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 57
- NAID
  120006846161
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03370
[Journal Article] On some effects of background metrics for several partial differential equations2020
- Author(s)
  M. Nakamura,
- Journal Title
  
  Advanced Studies in Pure Mathematics, Mathematical Society of Japan, Kinokuniya, Tokyo
  
  Volume: 85 Pages: 315-324
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17KK0082
[Journal Article] On the nonrelativistic limit of a semilinear field equation in a homogeneous and isotropic space,2020
- Author(s)
  M. Nakamura,
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 60 Pages: 1333-1359
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17KK0082
[Journal Article] Remarks on global solutions for the semilinear diffusion equation in the de Sitter spacetime2020
- Author(s)
  Nakamura, Makoto; Sato, Yuya
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume: 49 Issue: 3
- DOI
  10.14492/hokmj/1607936539
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03370
[Journal Article] On the Regularity of the Semilinear Term on the Cauchy Problem for the Schrodinger Equation2019
- Author(s)
  Nakamura, Makoto
- Journal Title
  
  Trends in Mathematics
  
  Volume: - Pages: 369-377
- DOI
  10.1007/978-3-030-04459-6_35
- ISBN
  9783030044589, 9783030044596
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03370
[Journal Article] Strichartz type estimates in mixed Besov spaces with application to critical nonlinear Schrdinger equations2019
- Author(s)
  M. Nakamura, T. Wada
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03940
[Journal Article] Remarks on global solutions for the semilinear diffusion equation in the de Sitter spacetime2019
- Author(s)
  M. Nakamura, Y. Sato
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03940
[Journal Article] On the regularity of the semilinear term on the Cauchy problem for the Schrodinger equation2019
- Author(s)
  M. Nakamura,
- Journal Title
  
  Proceedings of the 11th ISAAC congress 2017, Vaxjo (Sweden), Trends in Mathematics, Research Perspectives
  
  Volume: 00 Pages: 369-377
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03940
[Journal Article] On the regularity of the semilinear term on the Cauchy problem for the Schroedinger equation2019
- Author(s)
  M. Nakamura
- Journal Title
  
  Proceedings of the 11th ISAAC congress 2017
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17KK0082
[Journal Article] On the regularity of the semilinear term on the Cauchy problem for the Schroedinger equation2019
- Author(s)
  M. Nakamura
- Journal Title
  
  Proceedings of the 11th ISAAC congress 2017
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03940
[Journal Article] On the numerical analysis of the Cauchy problem for semilinear Klein-Gordon equations in the de Sitter spacetime2019
- Author(s)
  T. Tsuchiya, M. Nakamura,
- Journal Title
  
  Journal of Computational and Applied Mathematics
  
  Volume: 361 Pages: 396-412
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03940
[Journal Article] Decay estimate and asymptotic behavior of small solutions to Schrodinger equations with subcritical nonlinearity2019
- Author(s)
  Kita, Naoyasu; Nakamura, Yoshihisa
- Journal Title
  
  Advanced Study of Pure Mathematics
  
  Volume: 81
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03370
[Journal Article] The Cauchy problem for dissipative wave equations with weighted nonliner terms2019
- Author(s)
  M. Nakamura, H. Wadade
- Journal Title
  
  New Tools for Nonlinear PDEs and Application
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17KK0082
[Journal Article] Large time behavior of small solutions to multi-component nonlinear Schrodinger equations related with spinor Bose-Einstein condensate2019
- Author(s)
  Kita, Naoyasu; Nakamura, Yoshihisa
- Journal Title
  
  Linear and Nonlinear Analysis
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03370
[Journal Article] On the regularity of the semilinear term on the Cauchy problem for the Schroedinger equation2019
- Author(s)
  M. Nakamura,
- Journal Title
  
  Proceedings of the 11th ISAAC congress 2017
  
  Volume: - Pages: 369-377
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17KK0082
[Journal Article] Large time behavior of small solutions to multi-component nonlinear Schrodinger equations related with spinor Bose-Einstein condensate2019
- Author(s)
  Kita, Naoyasu; Nakamura, Yoshihisa
- Journal Title
  
  Linear and Nonlinear Analysis
  
  Volume: 5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03370
[Journal Article] Strichartz type estimates in mixed Besov spaces with application to critical nonlinear Shroedinger equations2019
- Author(s)
  M. Nakamura, T. Wada
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17KK0082
[Journal Article] The Cauchy problem for dissipative wave equations with weighted nonliner terms2019
- Author(s)
  M. Nakamura, H. Wadade
- Journal Title
  
  New Tools for Nonlinear PDEs and Application
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03940
[Journal Article] Remarks on global solutions for the semilinear diffusion equation in the de Sitter spacetime2019
- Author(s)
  M. Nakamura, Y. Sato
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17KK0082
[Journal Article] On the nonrelativistic limit of a semilinear field equation in a homogeneous and isotropic space2019
- Author(s)
  M. Nakamura
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03940
[Journal Article] Strichartz type estimates in mixed Besov spaces with application to critical nonlinear Schrodinger equations2019
- Author(s)
  Nakamura, Makoto; Wada, Takeshi
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 267 Issue: 5 Pages: 3162-3180
- DOI
  10.1016/j.jde.2019.04.003
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03370
[Journal Article] Global solutions for nonlinear Schroedinger equations in de Sitter spacetime2019
- Author(s)
  M. Nakamura,
- Journal Title
  
  Advanced Studies of Pure Mathematics
  
  Volume: 81 Pages: 311-322
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17KK0082
[Journal Article] On the nonrelativistic limit of a semilinear field equation in a homogeneous and isotropic space2019
- Author(s)
  M. Nakamura
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17KK0082
[Journal Article] On the numerical experiments of the Cauchy problem for semi-linear Klein-Gordon equations in the de Sitter spacetime2019
- Author(s)
  Tsuchiya, Takuya; Nakamura, Makoto
- Journal Title
  
  Journal of Computational and Applied Mathematics
  
  Volume: 361 Pages: 396-412
- DOI
  10.1016/j.cam.2019.05.005
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03370
[Journal Article] On the numerical analysis of the Cauchy problem for semilinear Klein-Gordon equations in the de Sitter spacetime2019
- Author(s)
  T. Tsuchiya, M. Nakamura,
- Journal Title
  
  Journal of Computational and Applied Mathematics
  
  Volume: 361 Pages: 396-412
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17KK0082
[Journal Article] Global solutions for nonlinear Schrodinger equations in de Sitter spacetime2019
- Author(s)
  M. Nakamura,
- Journal Title
  
  Advanced Studies of Pure Mathematics, “Asymptotic Analysis for Nonlinear Dispersive and Wave Equations
  
  Volume: 81 Pages: 311-322
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03940
[Journal Article] On the eects of spatial expansion and contraction on several semilinear partial dierential equations2018
- Author(s)
  M. Nakamura
- Journal Title
  
  京都大学数理解析研究所講究録 ”非線形波動・分散型方程式”
  
  Volume: 2093 Pages: 27-37
- Data Source
  KAKENHI-PROJECT-16H03940
[Journal Article] On the effects of spatial expansion and contraction on several semilinear partial differential equations2018
- Author(s)
  Nakamura, Makoto
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 2093 Pages: 27-37
- Data Source
  KAKENHI-PROJECT-18K03370
[Journal Article] On the eects of spatial expansion and contraction on several semilinear partial dierential equations2018
- Author(s)
  M. Nakamura
- Journal Title
  
  京都大学数理解析研究所講究録``非線形波動・分散型方程式''
  
  Volume: 2093 Pages: 27-37
- Data Source
  KAKENHI-PROJECT-17KK0082
[Journal Article] Some effects of the spatial variance on the Cauchy problem for partial differential equations2018
- Author(s)
  M. Nakamura
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03940
[Journal Article] On the existence time of local solutions for critical semilinear Schroedinger equations in Sobolev spaces2017
- Author(s)
  T. Iwabuchi, M. Nakamura
- Journal Title
  
  Nonlinear Analysis: Real World Applications
  
  Volume: 33 Pages: 168-180
- DOI
  10.1016/j.nonrwa.2016.06.009
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03940, KAKENHI-PROJECT-25400176, KAKENHI-PROJECT-25800069
[Journal Article] Decay estimate and asymptotic behavior ofsmall solutions to Schrodinger equations with subcritical dissipative nonlinearity2017
- Author(s)
  N. Kita, Y. Nakamura
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400176
[Journal Article] Modified Strichartz estimates with an application to the critical nonlinear Schrodinger equation2016
- Author(s)
  M. Nakamura, T. Wada
- Journal Title
  
  Nonlinear Analysis
  
  Volume: 130 Pages: 138-156
- DOI
  10.1016/j.na.2015.09.023
- NAID
  120005679544
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400176
[Journal Article] Global solutions for nonlinear Schrodinger equations in de Sitter spacetime2016
- Author(s)
  M. Nakamura
- Journal Title
  
  Advanced Studies of Pure Mathematics, "Asymptotic Analysis for Nonlinear Dispersive and Wave Equations"
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340024
[Journal Article] Remarks on global solutions of dissipative wave equations with exponential nonlinear terms2015
- Author(s)
  M. Nakamura
- Journal Title
  
  Special issue in Communications on Pure and Applied Analysis
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23684004
[Journal Article] On the sharp constant of the weighted Trudinger-Moser type inequality and an application to nonlinear Klein-Gordon equations2015
- Author(s)
  M. Ishiwata, M. Nakamura, H. Wadade
- Journal Title
  
  Discrete and Continuous Dynamical System - A
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23684004
[Journal Article] Remarks on global solutions of dissipative wave equations with exponential nonlinear terms2015
- Author(s)
  M. Nakamura
- Journal Title
  
  Communications on Pure and Applied Analysis
  
  Volume: 14 Issue: 4 Pages: 1533-1545
- DOI
  10.3934/cpaa.2015.14.1533
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400176
[Journal Article] Remarks on a dispersive equation in de Sitter spacetime2015
- Author(s)
  M. Nakamura
- Journal Title
  
  Dynamical Systems, Differential Equations and Applications, AIMS Proceedings
  
  Volume: なし Pages: 901-905
- DOI
  10.3934/proc.2015.0901
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400176
[Journal Article] Remarks on a dispersive equation in de Sitter space- time2015
- Author(s)
  M. Nakamura
- Journal Title
  
  Prodeedings. Analysis of hyperbolic PDEs. The 10th AIMS Conference on Dynamical Systems, Differential Equations and Ap- plications in Madrid, Spain
  
  Volume: in press
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340024
[Journal Article] Energy solutions for nonlinear Klein-Gordon equations in de Sitter spacetime, Current Trends in Analysis and Its Applications2015
- Author(s)
  M. Nakamura
- Journal Title
  
  Current Trends in Analysis and Its Applications: Proceedings of the 9th ISAAC Congress, Kraków 2013
  
  Volume: 16 Pages: 03-208
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400176
[Journal Article] On nonlinear Schrodinger equations derived from the nonrelativistic limit of nonlinear Klein-Gordon equations in de Sitter spacetime2015
- Author(s)
  M. Nakamura
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 259(7) Pages: 3366-3388
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340024
[Journal Article] On nonlinear Schrodinger equations derived from the nonrelativistic limit of nonlinear Klein–Gordon equations in de Sitter spacetime2015
- Author(s)
  M. Nakamura
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 259 Pages: 3366-3388
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400176
[Journal Article] Remarks on a dispersive equation in de Sitter spacetime2015
- Author(s)
  M. Nakamura
- Journal Title
  
  Prodeedings. Analysis of hyperbolic PDEs. The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications in Madrid, Spain
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23684004
[Journal Article] Remarks on the effect of spatial expansion for nonlinear partial differential equations2015
- Author(s)
  M. Nakamura
- Journal Title
  
  Proceedings of the 40th Sapporo Symposium on Partial Differential Equations
  
  Volume: 164 Pages: 74-77
- Data Source
  KAKENHI-PROJECT-25400176
[Journal Article] On the sharp constant of the weighted Trudinger-Moser type inequality and an application to nonlinear Klein-Gordon equations2015
- Author(s)
  M. Ishiwata, M. Nakamura, H. Wadade
- Journal Title
  
  Discrete and Continuous Dynamical System - A
  
  Volume: 35 Issue: 10 Pages: 4889-4903
- DOI
  10.3934/dcds.2015.35.4889
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400176, KAKENHI-PROJECT-26610030, KAKENHI-PROJECT-26247014, KAKENHI-PROJECT-24244012
[Journal Article] Energy solutions for nonlinear Klein-Gordon equations in de Sitter spacetime2015
- Author(s)
  M. Nakamura
- Journal Title
  
  Current Trends in Analysis and Its Applications: Proceedings of the 9th ISAAC Congress, Krakow 2013,
  
  Volume: XVI Pages: 203-208
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23684004
[Journal Article] On the solutions for nonlinear wave equations with localized dissipations in exterior domains2014
- Author(s)
  M. Nakamura
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23684004
[Journal Article] On the solutions for nonlinear wave equations with localized dissipations in exterior domains2014
- Author(s)
  M. Nakamura
- Journal Title
  
  Nonlinear Dynamics in Partial Differential Equations, Advanced Studies in Pure Mathematics
  
  Volume: 64 Pages: 289-295
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23684004
[Journal Article] On the sharp constant of the weighted Trudinger-Moser type inequality of the scaling invariant form2014
- Author(s)
  M. Ishiwata, M. Nakamura, H. Wadade,
- Journal Title
  
  Annales de l'Institut Henri Poincare - Analyse non lineaire
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23684004
[Journal Article] The Cauchy problem of semilinear Schroedinger equations in curved background2014
- Author(s)
  M. Nakamura
- Journal Title
  
  Proceedings. Wayamba International Conference, ``Sustainable Development Through Equitable Sharing,"
  
  Volume: 無 Pages: 302-302
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23684004
[Journal Article] Remarks on a weighted energy estimate and its application to nonlinear wave equations in one space dimension2014
- Author(s)
  M. Nakamura
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 256 Pages: 389-406
- Data Source
  KAKENHI-PROJECT-23654061
[Journal Article] On the sharp constant of the weighted Trudinger-Moser type inequality of the scaling invariant form2014
- Author(s)
  M. Ishiwata, M. Nakamura, H. Wadade
- Journal Title
  
  Annales de l'Institut Henri Poincare - Analyse non lineaire
  
  Volume: 31 Pages: 297-314
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23684004
[Journal Article] Energy solutions for nonlinear Klein-Gordon equations in de Sitter spacetime2014
- Author(s)
  M. Nakamura
- Journal Title
  
  Proceedings of the ISAAC Congress
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23684004
[Journal Article] On the sharp constant of the weighted Trudinger-Moser type inequality of the scaling invariant form2014
- Author(s)
  M. Ishiwata, M. Nakamura, H. Wadade
- Journal Title
  
  Annales de l'Institut Henri Poincare - Analyse non lineaire,
  
  Volume: 31 Pages: 297-314
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654061
[Journal Article] The Cauchy problem for semi-linear Klein-Gordon equations in de Sitter spacetime2014
- Author(s)
  M. Nakamura
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 410 Pages: 445-454
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654061
[Journal Article] On the sharp constant for the weighted Trudinger-Moser type inequality of the scaling invariant form2014
- Author(s)
  M. Ishiwata, M. Nakamura, and H. Wadade
- Journal Title
  
  Ann. Inst. H. Poincare Anal. Non Lineaire
  
  Volume: 31 Issue: 2 Pages: 297-314
- DOI
  10.1016/j.anihpc.2013.03.004
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-23340038, KAKENHI-PROJECT-26247014, KAKENHI-PROJECT-26610030, KAKENHI-PROJECT-24224003, KAKENHI-PROJECT-24244012
[Journal Article] Remarks on a weighted energy estimate and its application to nonlinear wave equations in one space dimension2014
- Author(s)
  M. Nakamura
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 256 Pages: 389-406
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400176
[Journal Article] The Cauchy problem for semi-linear Klein-Gordon equations in de Sitter spacetime2014
- Author(s)
  M. Nakamura
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 410 Pages: 445-454
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340024
[Journal Article] The Cauchy problem for semi-linear Klein-Gordon equations in de Sitter spacetime2014
- Author(s)
  Makoto Nakamura
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: vol.410 Pages: 445-454
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654061
[Journal Article] The Cauchy problem for semi-linear Klein-Gordon equations in de Sitter spacetime2014
- Author(s)
  M. Nakamura
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 410 Pages: 445-454
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23684004
[Journal Article] Remarks on a weighted energy estimate ans its application to nonlinear wave equations in one space dimension2014
- Author(s)
  Makoto Nakamura
- Journal Title
  
  Journal of Differential Equations
  
  Volume: vol.256
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654061
[Journal Article] On the solutions for nonlinear wave equations with localized dissipations in exterior domains2014
- Author(s)
  M. Nakamura
- Journal Title
  
  Nonlinear Dynamics in Partial Differential Equations, Advanced Studies in Pure Mathematics
  
  Volume: 64 Pages: 289-295
- Data Source
  KAKENHI-PROJECT-25400176
[Journal Article] On the sharp constant of the weighted Trudinger-Moser type inequality of the scaling invariant form2014
- Author(s)
  M. Ishiwata, M. Nakamura, H. Wadade,
- Journal Title
  
  Annales de l'Institut Henri Poincare - Analyse non lineaire
  
  Volume: 31 Pages: 297-314
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400176
[Journal Article] The Cauchy problem for semi-linear Klein-Gordon equations in de Sitter spacetime2014
- Author(s)
  M. Nakamura
- Journal Title
  
  Journal of Mathematical Analysis and Application
  
  Volume: 410 Issue: 1 Pages: 445-454
- DOI
  10.1016/j.jmaa.2013.08.059
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400176
[Journal Article] Remarks on a weighted energy estimate and its application to nonlinear wave equations in one space dimension2014
- Author(s)
  M. Nakamura
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 256 Pages: 389-406
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23684004
[Journal Article] On the Cauchy problem for nonlinear Klein-Gordon equations in de Sitter spacetime2013
- Author(s)
  中村誠
- Journal Title
  
  「熊本大学応用解析セミナー」報告集
  
  Volume: なし Pages: 87-90
- Data Source
  KAKENHI-PROJECT-23684004
[Journal Article] Remarks on global solutions for nonlinear wave equations under the standard null conditions2013
- Author(s)
  H. Lindblad, M. Nakamura, C. D. Sogge
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 254 Pages: 1396-1436
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654061
[Journal Article] Global and almost global solutions for some nonlinear parabolic equations in Besov spaces and Triebel-Lizorkin space2013
- Author(s)
  T. Iwabuchi, M. Nakamura
- Journal Title
  
  Adv. Differential Equations
  
  Volume: 18 Pages: 687-736
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400176
[Journal Article] Global and almost global solutions for some nonlinear parabolic equations in Besov spaces and Triebel-Lizorkin spaces2013
- Author(s)
  T. Iwabuchi, M. Nakamura
- Journal Title
  
  Adv. Differential Equations
  
  Volume: vol.18 Pages: 687-736
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654061
[Journal Article] Remarks on global solutions for nonlinear wave equations under the standard null conditions2013
- Author(s)
  H. Lindblad, M. Nakamura, C. D. Sogge
- Journal Title
  
  Journal Differential Equations
  
  Volume: 254 Pages: 1396-1436
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23684004
[Journal Article] Weighted energy esitmates and applications for nonlinear wave equations2013
- Author(s)
  中村誠
- Journal Title
  
  「熊本大学応用解析セミナー」報告集
  
  Volume: なし Pages: 11-16
- Data Source
  KAKENHI-PROJECT-23684004
[Journal Article] Remarks on global solutions for nonlinear wave equations under the standard null conditions2013
- Author(s)
  H. Lindblad, M. Nakamura, C.D. Sogge
- Journal Title
  
  Journal of Differential Equations
  
  Volume: vol.254 Pages: 1396-1436
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654061
[Journal Article] Global and almost global solutions for some nonlinear parabolic equations in Besov spaces and Triebel-Lizorkin spaces2013
- Author(s)
  T. Iwabuchi,　M. Nakamura
- Journal Title
  
  Adv. Differential Equations
  
  Volume: １８ Pages: 687-736
- Data Source
  KAKENHI-PROJECT-23654061
[Journal Article] Global and almost global solutions for some nonlinear parabolic equations in Besov spaces and Triebel-Lizorkin spaces2013
- Author(s)
  T. Iwabuch and M. Nakamura
- Journal Title
  
  Adv. Differential Equations
  
  Volume: 18 Pages: 687-736
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340024
[Journal Article] Global and almost global solutions for some nonlinear parabolic equations in Besov spaces and Triebel-Lizorkin spaces2013
- Author(s)
  T. Iwabuchi, M. Nakamura
- Journal Title
  
  Adv. Differential Equations
  
  Volume: 18 Pages: 687-736
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23684004
[Journal Article] Remarks on a weighted energy estimate and its application to nonlinear wave equations in one space dimension2013
- Author(s)
  M. Nakamura
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 256 Pages: 389-406
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340024
[Journal Article] Global solutions for nonlinear wave equations with localized dissipations in exterior domains2012
- Author(s)
  M. Nakamura
- Journal Title
  
  J. Differential Equations
  
  Volume: 252 Pages: 4742-4785
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540190
[Journal Article] Decay estimates of solutions for quasi-linear hyperbolic systems of viscoelasticity2012
- Author(s)
  Dharmawardane, Priyanjana M. N.; Nakamura, Tohru; Kawashima, Shuichi
- Journal Title
  
  SIAM J. Math. Anal.
  
  Volume: 44, no.3 Pages: 1976-2001
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009
[Journal Article] Scattering theory for the Dirac Equation of Hartree type and the semir elativistic Hartree equation2012
- Author(s)
  Makoto Nakamura, Kimitoshi Tsutaya
- Journal Title
  
  Nonlinear Analysis Series A : Theory, Methods and Applications
  
  Volume: 75 Pages: 3531-3542
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540190
[Journal Article] Scattering theory for the Dirac Equation of Hartree type and the semirelativistic Hartree equation2012
- Author(s)
  M. Nakamura, K. Tsutaya
- Journal Title
  
  Nonlinear Analysis Series A: Theory, Methods and Applications
  
  Volume: 75 Pages: 3531-3542
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23684004
[Journal Article] Global solutions for nonlinear wave equations with localized dissipations in exterior domains2012
- Author(s)
  M. Nakamura
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 252 Pages: 4742-4785
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19684002
[Journal Article] Scattering theory for the Dirac equation of Hartree type and the semirelativistic Hartree equation2012
- Author(s)
  M. Nakamura and K. Tsutaya
- Journal Title
  
  Nonlinear Anal
  
  Volume: 75, no. 8 Issue: 8 Pages: 3531-3542
- DOI
  10.1016/j.na.2012.01.012
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540206, KAKENHI-PROJECT-24340024
[Journal Article] Scattering theory for the Dirac Equation of Hartree type and the semirelativistic Hartree equation2012
- Author(s)
  M. Nakamura and K. Tsutaya
- Journal Title
  
  Nonlinear Anal. Series A : Theory, Methods and Applications
  
  Volume: 75 Pages: 3531-3542
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540190
[Journal Article] Scattering theory for the Dirac Equation of Hartree type and the semirelativistic Hartree equation, Nonlinear Analysis2012
- Author(s)
  M. Nakamura, K. Tsutaya
- Journal Title
  
  Series A: Theory, Methods and Applications
  
  Volume: 75 Pages: 3531-3542
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19684002
[Journal Article] Global solutions for nonlinear wave equations with localized dissipations in exterior domains2012
- Author(s)
  M. Nakamura
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 252 Pages: 4742-4785
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23684004
[Journal Article] Global solutions to quasi-linear hyperbolic systems of viscoelasticity2011
- Author(s)
  Dharmawardane, Priyanjana M. N.; Nakamura, Tohru; Kawashima, Shuichi
- Journal Title
  
  Kyoto J. Math.
  
  Volume: 51, no.2 Pages: 467-483
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009
[Journal Article] Remarks on Keel-Smith-Sogge estimates and some applications to nonlinear higher order wave equations2011
- Author(s)
  Makoto Nakamura
- Journal Title
  
  Differential and Integral Equations
  
  Volume: vol.24 Pages: 519-540
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654061
[Journal Article] Small global solutions for nonlinear complex Ginzburg-Landau equations and nonlinear dissipative wave equations in Sobolev spaces2011
- Author(s)
  Makoto Nakamura
- Journal Title
  
  Reviews in Mathematical Physics
  
  Volume: 23 Pages: 903-931
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540190
[Journal Article] Small global solutions for nonlinear complex Ginzburg-Landau equations and nonlinear dissipative wave equations in Sobolev spaces2011
- Author(s)
  M. Nakamura
- Journal Title
  
  Rev. Math. Phys
  
  Volume: 23 Pages: 903-931
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540190
[Journal Article] Small global solutions for nonlinear complex Ginzburg-Landau equations and nonlinear dissipative wave equations in Sobolev spaces2011
- Author(s)
  M.Nakamura
- Journal Title
  
  Reviews in Mathematical Physics
  
  Volume: 23 Pages: 903-931
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23684004
[Journal Article] Global solutions for nonlinear wave equations with localized dissipations in exterior domains2011
- Author(s)
  Makoto Nakamura
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 252 Pages: 4742-4785
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540190
[Journal Article] Time-weighted energy method for quasi-linear hyperbolic systems of viscoelasticity2011
- Author(s)
  P.Dharmawardane, T. Nakamura, S. Kawashima
- Journal Title
  
  Proc. Japan Acad. Ser. A Math. Sci.
  
  Volume: 87 Pages: 99-102
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009
[Journal Article] Time-weighted energy method for quasi-linear hyperbolic systems of viscoelasticity2011
- Author(s)
  Dharmawardane, Priyanjana M. N.; Nakamura, Tohru; Kawashima, Shuichi
- Journal Title
  
  Proc. Japan Acad. Ser. A Math. Sci.
  
  Volume: 87, no.6 Pages: 99-102
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009
[Journal Article] Energy method in the partial Fourier space and application to stability problems in the half space2011
- Author(s)
  Ueda, Yoshihiro; Nakamura, Tohru; Kawashima, Shuichi
- Journal Title
  
  J. Differential Equations
  
  Volume: 250, no.2 Pages: 1169-1199
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009
[Journal Article] Small global solutions for nonlinear complex Ginzburg-Landau equations and nonlinear dissipative wave equations in Sobolev spaces2011
- Author(s)
  Makoto Nakamura
- Journal Title
  
  Reviews in Mathematical Physics
  
  Volume: vol.23 Pages: 903-931
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654061
[Journal Article] Remarks on Keel-Smith-Sogge estimates and some applications to nonlinear higher-order wave equations2011
- Author(s)
  M. Nakamura
- Journal Title
  
  Differential Integral Equations
  
  Volume: 24 Pages: 519-540
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540190
[Journal Article] Global solutions to quasi-linear hyperbolic systems of viscoelasticity.2011
- Author(s)
  P.Dharmawardane, T. Nakamura, S. Kawashima
- Journal Title
  
  Kyoto J. Math.
  
  Volume: 51 Pages: 467-483
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009
[Journal Article] Energy method in the partial Fourier space and application to stability problems in the half space.2011
- Author(s)
  Y. Ueda, T. Nakamura, S. Kawashima
- Journal Title
  
  J. Differential Equations
  
  Volume: 250 Issue: 2 Pages: 1169-1199
- DOI
  10.1016/j.jde.2010.10.003
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009, KAKENHI-PROJECT-21740100, KAKENHI-PROJECT-22244009, KAKENHI-PROJECT-23540211
[Journal Article] Remarks on Keel-Smith-Sogge estimates and some applications to nonlinear higher order wave equations2011
- Author(s)
  M. Nakamura
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 24 Pages: 519-540
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19684002
[Journal Article] Small global solutions for nonlinear complex Ginzburg-Landau equations and nonlinear dissipative wave equations in Sobolev spaces2011
- Author(s)
  M. Nakamura
- Journal Title
  
  Reviews in Mathematical Physics
  
  Volume: 23 Pages: 903-931
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19684002
[Journal Article] Stability of degenerate stationary waves for viscous gases2010
- Author(s)
  Ueda, Yoshihiro; Nakamura, Tohru; Kawashima, Shuichi
- Journal Title
  
  Arch. Ration. Mech. Anal.
  
  Volume: 198, no.3 Pages: 735-762
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009
[Journal Article] Stationary waves to viscous heat-conductive gases in half-space: existence, stability and convergence rate2010
- Author(s)
  Kawashima, Shuichi; Nakamura, Tohru; Nishibata, Shinya; Zhu, Peicheng
- Journal Title
  
  Math. Models Methods Appl. Sci.
  
  Volume: 20, no.12 Pages: 2201-2235
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009
[Journal Article] Stability of planar stationary waves for damped wave equations with nonlinear convection in half space2009
- Author(s)
  Y.Ueda, T.Nakamura, S.Kawashima
- Journal Title
  
  Proceedings of Symposia in Applied Mathematics
  
  Volume: 67 Pages: 977-986
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009
[Journal Article] Stability of degenerate stationary waves for viscous gases2009
- Author(s)
  Y.Ueda, T.Nakamura, S.Kawashima
- Journal Title
  
  Arch.Rat.Mech.Anal.
  
  Volume: 198 Pages: 735-762
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009
[Journal Article] Stability of planar stationary wave for damped wave equation with nonlinear convection in half space. Hyperbolic problems: theory, numerics and applications2009
- Author(s)
  Ueda, Yoshihiro; Nakamura, Tohru; Kawashima, Shuichi
- Journal Title
  
  Proc. Sympos. Appl. Math., 67, Part 2, Amer. Math. Soc., Providence, RI
  
  Pages: 977-986
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009
[Journal Article] Stability of planar stationary waves for damped wave equations with nonlinear convection in multi-dimensional half space2008
- Author(s)
  Ueda, Yoshihiro; Nakamura, Tohru; Kawashima, Shuichi
- Journal Title
  
  Kinet. Relat. Models
  
  Volume: 1, no.1 Pages: 49-64
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009
[Journal Article] A generalization of the weighted Strichartz estimates for wave equations and an application to self-similar solutions2007
- Author(s)
  J.Kato, M.Nakamura, T.Ozawa
- Journal Title
  
  Comm.Pure Applied Math. 60
  
  Pages: 164-186
- NAID
  120000970574
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Global Existence and Uniqueness of Solutions to the Maxwell-Schroedinger Equations2007
- Author(s)
  M. Nakamura, T. Wada
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: 276 Pages: 315-339
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19684002
[Journal Article] General quasilinear wave equations with localized dissipation in exterior domains2007
- Author(s)
  Jason Metcalfe, Makoto Nakamura
- Journal Title
  
  Journal of Differential Equations 233
  
  Pages: 313-344
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19684002
[Journal Article] A generalization of the weighted Strichartz estimates for wave equations and an application to self-similar solutions2007
- Author(s)
  J.Kato, M.Nakamura, T.Ozawa
- Journal Title
  
  Comm. Pure Applied Math. 60
  
  Pages: 164-186
- NAID
  120000970574
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Global Existence and Uniqueness of Solutions to the Maxwell-Schrodinger Equations2007
- Author(s)
  M. Nakamura, T. Wada
- Journal Title
  
  Communications in Mathematical Physics 276
  
  Pages: 315-339
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19684002
[Journal Article] General quasilinear wave equations with localized dissipation in exterior domains2007
- Author(s)
  Jason Metcalfe, M. Nakamura
- Journal Title
  
  Journal of Differential Equations 233
  
  Pages: 313-344
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19684002
[Journal Article] A generalization of the weighted Strichartz estimates for wave equations and an application to self-similar solutions2007
- Author(s)
  J. Kato, M. Nakamura, T. Ozawa
- Journal Title
  
  Communications on Pure and Applied Mathematics
  
  Volume: 60 Pages: 164-186
- NAID
  120000970574
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19684002
[Journal Article] Global existence and uniqueness of solutions to the Maxwell-Schroedinger equations2007
- Author(s)
  Makoto Nakamura, Takeshi Wada
- Journal Title
  
  Communications in Mathematical Physics 276
  
  Pages: 315-339
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19684002
[Journal Article] General quasilinear wave equations with localized dissipation in exterior domains2007
- Author(s)
  J. Metcalfe, M. Nakamura
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 233 Pages: 313-344
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19684002
[Journal Article] A generalization of the weighted Strichartz estimates for wave equations and an application to self-similar solutions2007
- Author(s)
  J.Kato, M.Nakamura, T.Ozawa
- Journal Title
  
  Communications on Pure and Applied Mathematics 60
  
  Pages: 164-186
- NAID
  120000970574
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation,2005
- Author(s)
  S.Machihara, M.Nakamura, K.Nakanishi, T.Ozawa
- Journal Title
  
  J.Funct.Anal., 219
  
  Pages: 1-20
- NAID
  120006456908
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Global existence of quasilinear, nonrelativistic wave equations satisfying the null condition2005
- Author(s)
  J.Metcalfe, M.Nakamura, C.D.Sogge
- Journal Title
  
  Japanese Journal of Mathematics 31
  
  Pages: 391-472
- NAID
  10020427390
- Data Source
  KAKENHI-PROJECT-16740071
[Journal Article] Local well-posedness for the Maxwell-Schrodinger equation2005
- Author(s)
  M.Nakamura, T.Wada
- Journal Title
  
  Math.Ann. 332
  
  Pages: 565-604
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation2005
- Author(s)
  S.Machihara, M.Nakamura, K.Nakanishi, T.Ozawa
- Journal Title
  
  J. Funct. Anal. 219
  
  Pages: 1-20
- NAID
  120006456908
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Local well-posedness for the Maxwell-Schrodinger equation2005
- Author(s)
  M.Nakamura, T.Wada
- Journal Title
  
  Math. Ann. 332
  
  Pages: 565-604
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Endpoint Strichartz estimates and global solutions for the non-linear Dirac equation2005
- Author(s)
  S.Machihara, M.Nakamura, K.Nakan- ishi, T.Ozawa
- Journal Title
  
  J.Funct.Anal. 219
  
  Pages: 1-20
- NAID
  120006456908
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation,2005
- Author(s)
  S.Machihara, M.Nakamura, K.Nakanishi, T.Ozawa
- Journal Title
  
  J.Funct.Anal. 219
  
  Pages: 1-20
- NAID
  120006456908
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains,2005
- Author(s)
  J.Metcalfe, M.Nakamura, C.D.Sogge
- Journal Title
  
  Forum Math., 17
  
  Pages: 133-168
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains2005
- Author(s)
  J.Metcalfe, M.Nakamura, C.D.Sogge
- Journal Title
  
  Forum Math. 17
  
  Pages: 133-168
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Global existence of quasilinear, nonrelativistic wave equations satisfying the null condition2005
- Author(s)
  J.Metcalfe, M.Nakamura, C.D.Sogge
- Journal Title
  
  Japanese J.Math. 31
  
  Pages: 391-472
- NAID
  10020427390
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Global existence of quasilinear, nonrelativistic wave equations satisfying the null condition,2005
- Author(s)
  J.Metcalfe, M.Nakamura, C.D.Sogge
- Journal Title
  
  Japanese Journal of Mathematics, 31
  
  Pages: 391-472
- NAID
  10020427390
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Gloval existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains2005
- Author(s)
  J.Metcalfe, M.Nakamura, C.D.Sogge
- Journal Title
  
  Forum Mathematicum 17
  
  Pages: 133-168
- Data Source
  KAKENHI-PROJECT-16740071
[Journal Article] Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation2005
- Author(s)
  S.Machihara, M.Nakamura, K.Nakanishi, T.Ozawa
- Journal Title
  
  J.Funct.Anal. 219
  
  Pages: 1-20
- NAID
  120006456908
- Data Source
  KAKENHI-PROJECT-16740071
[Journal Article] Global existence of quasilinear, nonrelativistic wave equations satisfying the null condition2005
- Author(s)
  J.Metcalfe, M.Nakamura, C.D.Sogge
- Journal Title
  
  Japanese J. Math. 31
  
  Pages: 391-472
- NAID
  10020427390
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Global existence of solutions to multiple speed systems of quasi- linear wave equations in exterior domains2005
- Author(s)
  J.Metcalfe, M.Nakamura, C.D.Sogge
- Journal Title
  
  Forum Math. 17
  
  Pages: 133-168
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Small global solutions for nonlinear Dirac equations2004
- Author(s)
  S.Machihara, M.Nakamura, T.Ozawa
- Journal Title
  
  Differential and Integral Eq. 17
  
  Pages: 623-636
- Data Source
  KAKENHI-PROJECT-16740071
[Journal Article] Small global solutions for nonlinear Dirac equations2004
- Author(s)
  S.Machihara, M.Nakamura, T.Ozawa
- Journal Title
  
  Differential and Integral Eq. 17
  
  Pages: 623-636
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Small global solutions for nonlinear Dirac equations2004
- Author(s)
  S.Machihara, M.Nakamura, T.Ozawa
- Journal Title
  
  Differential and Integral Eq 17
  
  Pages: 623-636
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Remarks on Keel-Smith-Sogge estimates and some applications to nonlinear higher order wave equations
- Author(s)
  Nakamura, Makota
- Journal Title
  
  Differential and Integral Equations
  
  Volume: (未定掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540190
[Journal Article] Local well-posedness for the Maxwell-Schroedinger equation
- Author(s)
  M.Nakamura, T.Wada
- Journal Title
  
  Mathematische Annalen (発表予定)
- Data Source
  KAKENHI-PROJECT-16740071
[Journal Article] A generalization of the weighted Strichartz estimates for wave equations and an application to self-similar solutions
- Author(s)
  J.Kato, M.Nakamura, T.Ozawa
- Journal Title
  
  Comunications on Pure and Applied Mathematics (印刷中)
- NAID
  120000970574
- Data Source
  KAKENHI-PROJECT-16740071
[Journal Article] Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains
- Author(s)
  J.Metcalfe, M.Nakamura, C.D.Sogge
- Journal Title
  
  Forum Mathematicum (発表予定)
- Data Source
  KAKENHI-PROJECT-16740071
[Presentation] Remarks on global solutions on semilinear Klein-Gordon equations in Friedmann-Lemaitre-Robertson-Walker spacetimes2024
- Author(s)
  M. Nakamura
- Organizer
  Mathematical Physics Seminar, The University of Texas Rio Grande Valley.
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K18671
[Presentation] Remarks on global solutions on semilinear Klein-Gordon equations in Friedmann-Lemaitre-Robertson-Walker spacetimes2024
- Author(s)
  M. Nakamura
- Organizer
  Mathematical Physics Seminar, The University of Texas Rio Grande Valley.
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] Remarks on global solutions on semilinear Klein-Gordon equations in Friedmann-Lemaitre-Robertson-Walker spacetimes2024
- Author(s)
  M. Nakamura
- Organizer
  Mathematical Physics Seminar at the University of Texas Rio Grande Valley
- Invited
- Data Source
  KAKENHI-PROJECT-21K03354
[Presentation] Remarks on global solutions on semilinear Klein-Gordon equations in Friedmann-Lemitre-Robertson-Walker spacetimes2024
- Author(s)
  M. Nakamura
- Organizer
  Mathematical Physics Seminar, University of Texas Rio Grande Valley
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03183
[Presentation] The Cauchy problem of Klein-Gordon equation under the quartic potential in the de Sitter spacetime2023
- Author(s)
  M. Nakamura
- Organizer
  Distinguished Colloquium Series, The University of Texas Rio Grande Valley
- Invited
- Data Source
  KAKENHI-PROJECT-22K18671
[Presentation] On the Klein-Gordon equation under the quartic potential in the de Sitter spacetime, Workshop on Nonlinear Hyperbolic PDEs2023
- Author(s)
  M. Nakamura
- Organizer
  Workshop on Nonlinear Hyperbolic PDEs; On the occasion of 60th birthday of Professor Yi Zhou
- Invited
- Data Source
  KAKENHI-PROJECT-21K03354
[Presentation] On the Klein-Gordon equation under the quartic potential in the de Sitter spacetime2023
- Author(s)
  M. Nakamura
- Organizer
  Japanese Academic Seminars at Stanford, Stanford University
- Invited
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] de Sitter 時空中における半線形 Klein--Gordon 方程式の精度と数値安定性について2023
- Author(s)
  土屋拓也, 中村誠
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-21K03354
[Presentation] On small global solutions of Klein-Gordon equation under the quartic potential in the de Sitter spacetime2023
- Author(s)
  M. Nakamura
- Organizer
  神戸大学解析セミナー, 神戸大学.
- Invited
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] Global solutions of Klein-Gordon equation under the quartic potential in the de Sitter spacetime2023
- Author(s)
  M. Nakamura
- Organizer
  14th International ISAAC Congress, University of Sao Paulo, Campus Ribeirao Preto (Brazil)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K18671
[Presentation] On the Klein-Gordon equation under the quartic potential in the de Sitter spacetime2023
- Author(s)
  M. Nakamura
- Organizer
  Workshop on Nonlinear Hyperbolic PDEs, On the occasion of 60th birthday of Professor Yi Zhou, Tohoku University, Sendai, Japan.
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K18671
[Presentation] On small global solutions of Klein-Gordon equation under the quartic potential in the de Sitter spacetime2023
- Author(s)
  M. Nakamura
- Organizer
  神戸大学解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K03354
[Presentation] On small global solutions of Klein-Gordon equation under the quartic potential in the de Sitter spacetime2023
- Author(s)
  M. Nakamura
- Organizer
  神戸大学解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K03183
[Presentation] The Cauchy problem of Klein-Gordon equation under the quartic potential in the de Sitter spacetime2023
- Author(s)
  M. Nakamura
- Organizer
  Distinguished Colloquium Series (The University of Texas Rio Grande Valley)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Global solutions of Klein-Gordon equation under the quartic potential in the de Sitter spacetime2023
- Author(s)
  M. Nakamura
- Organizer
  大阪大学理学部数学教室談話会, 大阪大学.
- Invited
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] On small global solutions of Klein-Gordon equation under the quartic potential in the de Sitter spacetime2023
- Author(s)
  M. Nakamura
- Organizer
  神戸大学解析セミナー, 神戸大学.
- Invited
- Data Source
  KAKENHI-PROJECT-22K18671
[Presentation] Global solutions of Klein-Gordon equation under the quartic potential in the de Sitter spacetime2023
- Author(s)
  M. Nakamura
- Organizer
  大阪大学理学部数学教室談話会
- Invited
- Data Source
  KAKENHI-PROJECT-21K03354
[Presentation] The Cauchy problem of Klein-Gordon equation under the quartic potential in the de Sitter spacetime2023
- Author(s)
  M. Nakamura
- Organizer
  Distinguished Colloquium Series, The University of Texas Rio Grande Valley
- Invited
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] On the Klein-Gordon equation under the quartic potential in the de Sitter spacetime2023
- Author(s)
  M. Nakamura
- Organizer
  Workshop on Nonlinear Hyperbolic PDEs
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03183
[Presentation] Global solutions of Klein-Gordon equation under the quartic potential in the de Sitter spacetime2023
- Author(s)
  M. Nakamura
- Organizer
  大阪大学理学部数学教室談話会
- Invited
- Data Source
  KAKENHI-PROJECT-23K03183
[Presentation] Global solutions of Klein-Gordon equation under the quartic potential in the de Sitter spacetime2023
- Author(s)
  M. Nakamura
- Organizer
  14th International ISAAC Congress, University of Sao Paulo, Campus Ribeirao Preto (Brazil).
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] The Cauchy problem of Klein-Gordon equation under the quartic potential in the de Sitter spacetime,2023
- Author(s)
  M. Nakamura
- Organizer
  Distinguished Colloquium Series（The University of Texas Rio Grande Valley）
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03354
[Presentation] 収縮する de Sitter 時空における半線形 Klein--Gordon 方程式の解の挙動について2023
- Author(s)
  土屋拓也, 中村誠
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-21K03354
[Presentation] Global solutions of Klein-Gordon equation under the quartic potential in the de Sitter spacetime2023
- Author(s)
  M. Nakamura
- Organizer
  14th International ISAAC Congress
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03183
[Presentation] On the Klein-Gordon equation under the quartic potential in the de Sitter spacetime2023
- Author(s)
  M. Nakamura
- Organizer
  Workshop on Nonlinear Hyperbolic PDEs, On the occasion of 60th birthday of Professor Yi Zhou, Tohoku University, Sendai, Japan.
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] On the Klein-Gordon equation under the quartic potential in the de Sitter spacetime2023
- Author(s)
  M. Nakamura
- Organizer
  Japanese Academic Seminars at Stanford, Stanford University
- Invited
- Data Source
  KAKENHI-PROJECT-22K18671
[Presentation] Global solutions of Klein-Gordon equation under the quartic potential in the de Sitter spacetime2023
- Author(s)
  M. Nakamura
- Organizer
  大阪大学理学部数学教室談話会, 大阪大学.
- Invited
- Data Source
  KAKENHI-PROJECT-22K18671
[Presentation] Global solutions of Klein-Gordon equation under the quartic potential in the de Sitter spacetime2023
- Author(s)
  M. Nakamura
- Organizer
  “14th International ISAAC Congress,” Joint-Session “Recent Progress in Evolution Equations” and “Partial Differential Equations on Curved Spacetimes”
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03354
[Presentation] On the Klein-Gordon equation under the quartic potential in the de Sitter spacetime2023
- Author(s)
  M. Nakamura
- Organizer
  Japanese Academic Seminars at Stanford (Stanford University)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] On the Klein-Gordon equation under the quartic potential in the de Sitter spacetime,2023
- Author(s)
  M. Nakamura
- Organizer
  Japanese Academic Seminars at Stanford（Stanford University）
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03354
[Presentation] On the Cauchy problem for the Klein-Gordon equation under the quartic potential in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  Analysis & PDE seminar, Stanford University
- Invited
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] Global solutions for the Klein-Gordon equation under the quartic potential in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  熊本大学応用解析セミナー（熊本大学）
- Data Source
  KAKENHI-PROJECT-21K03354
[Presentation] Semilinear Proca equations in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  第18回非線型の諸問題（オンライン）
- Invited
- Data Source
  KAKENHI-PROJECT-22K18671
[Presentation] On the Cauchy problem for the Klein-Gordon equation under the quartic potential in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  Analysis & PDE seminar, Stanford University
- Invited
- Data Source
  KAKENHI-PROJECT-22K18671
[Presentation] Global solutions and blow-up solutions of power-type semilinear Klein-Gordon equations in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  微分方程式セミナー, 大阪大学
- Invited
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] Semilinear Proca equations in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  第18回非線型の諸問題（オンライン）
- Invited
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Global solutions for the Klein-Gordon equation under the quartic potential in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  熊本大学応用解析セミナー, 熊本大学
- Invited
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] Global solutions and blow-up solutions of power-type semilinear Klein-Gordon equations in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  微分方程式セミナー（大阪大学）
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Global solutions for the Klein-Gordon equation under the quartic potential in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  熊本大学応用解析セミナー
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Existence and non-existence of global solutions for the Klein-Gordon equation in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  第65回南大阪応用数学セミナー, 大阪公立大学．
- Invited
- Data Source
  KAKENHI-PROJECT-22K18671
[Presentation] Existence and non-existence of global solutions for the Klein-Gordon equation in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  第65回南大阪応用数学セミナー（大阪公立大学）
- Data Source
  KAKENHI-PROJECT-21K03354
[Presentation] On the Cauchy problem for the Klein-Gordon equation under the quartic potential in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  Analysis & PDE seminar (Stanford University)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Global solutions for semilinear Proca equations in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  NLPDEセミナー（京都大学）
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Existence and non-existence of global solutions for the Klein-Gordon equation in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  第65回南大阪応用数学セミナー（大阪公立大学）
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Global solutions for the Klein-Gordon equation under the quartic potential in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  熊本大学応用解析セミナー, 熊本大学
- Invited
- Data Source
  KAKENHI-PROJECT-22K18671
[Presentation] Semilinear Proca equations in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  第18回非線型の諸問題
- Data Source
  KAKENHI-PROJECT-21K03354
[Presentation] The Cauchy problem for the Klein-Gordon equation under the quartic potential in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  応用解析研究会, 早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] Global solutions for semilinear Proca equations in the de Sitter spacetime,2022
- Author(s)
  M. Nakamura
- Organizer
  NLPDEセミナー（京都大学）
- Data Source
  KAKENHI-PROJECT-21K03354
[Presentation] On the Cauchy problem for the Klein-Gordon equation under the quartic potential in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  Analysis & PDE seminar（Stanford University）
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03354
[Presentation] Semilinear Proca equations in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  第18回非線型の諸問題（オンライン）
- Invited
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] Global solutions and blow-up solutions of power-type semilinear Klein-Gordon equations in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  微分方程式セミナー, 大阪大学
- Invited
- Data Source
  KAKENHI-PROJECT-22K18671
[Presentation] The Cauchy problem for the Klein-Gordon equation under the quartic potential in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  応用解析研究会, 早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-22K18671
[Presentation] Global solutions for semilinear Proca equations in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  NLPDEセミナー, 京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] The Cauchy problem for the Klein-Gordon equation under the quartic potential in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  応用解析研究会（早稲田大学）
- Data Source
  KAKENHI-PROJECT-21K03354
[Presentation] Existence and non-existence of global solutions for the Klein-Gordon equation in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  第65回南大阪応用数学セミナー, 大阪公立大学
- Invited
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] The Cauchy problem for the Klein-Gordon equation under the quartic potential in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  応用解析研究会（早稲田大学）
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Global solutions and blow-up solutions of power-type semilinear Klein-Gordon equations in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  微分方程式セミナー（大阪大学）
- Data Source
  KAKENHI-PROJECT-21K03354
[Presentation] Global solutions for semilinear Proca equations in the de Sitter spacetime2022
- Author(s)
  M. Nakamura
- Organizer
  NLPDEセミナー, 京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-22K18671
[Presentation] De Sitter時空中における半線形Klein-Gordon方程式の高精度かつ安定な数値計算2022
- Author(s)
  土屋拓也, 中村誠
- Organizer
  日本応用数理学会2022年度年会
- Data Source
  KAKENHI-PROJECT-21K03354
[Presentation] On the Cauchy problem for the semilinear Proca equations in the de Sitter spacetime2021
- Author(s)
  M. Nakamura
- Organizer
  The 13th International ISAAC Congress
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] On the Klein-Gordon equation with the Hartree type semilinear term in the de Sitter spacetime2021
- Author(s)
  M. Nakamura, H. Takashima
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] On the Klein-Gordon equation with the Hartree type semilinear term in the de Sitter spacetime2021
- Author(s)
  M. Nakamura, H. Takashima
- Organizer
  日本数学会年会，2021年3月15日～18日，慶應義塾大学．
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] On the Cauchy problem for the semilinear Proca equations in the de Sitter spacetime2021
- Author(s)
  M. Nakamura
- Organizer
  国際研究集会``The 13th International ISAAC Congress,'' Session ``Partial Differential Equations on Curved Spacetimes"
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03354
[Presentation] On the Cauchy problem for the semilinear Proca equations in the de Sitter spacetime2021
- Author(s)
  M. Nakamura
- Organizer
  The 13th International ISAAC Congress
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] On the Klein-Gordon equation with the Hartree type semilinear term in the de Sitter spacetime2021
- Author(s)
  M. Nakamura, H. Takashima
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] Partial differential equations in homogeneous and isotropic spaces2019
- Author(s)
  M. Nakamura
- Organizer
  日本数学会
- Invited
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] Asymptotic profiles of global solutions for the semilinear diffusion equation in the de Sitter spacetime2019
- Author(s)
  Nakamura, Makoto; Takeda, H.
- Organizer
  日本数学会2019年度秋季総合分科会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Partial differential equations in uniform and isotropic spaces2019
- Author(s)
  Nakamura, Makoto
- Organizer
  2018年度日本数学会東北支部会
- Invited
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] On the Cauchy problem for a semilinear ordinary differential equation in homogeneous and isotropic spaces2019
- Author(s)
  M. Nakamura
- Organizer
  日本数学会，2019 年度秋季総合分科会，応用数学分科会，2019 年 9 月 17 日，金沢大学．
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] Some dissipative and anti-dissipative effects on semilinear PDEs in homogeneous and isotropic spaces2019
- Author(s)
  M. Nakamura
- Organizer
  三重偏微分方程式研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] On global solutions for the semilinear complex Ginzburg-Landau type equation in homogeneous and isotropic spaces2019
- Author(s)
  M. Nakamura
- Organizer
  日本数学会, 2019 年度秋季総合分科会，応用数学分科会, 2019 年 9 月 17 日，金沢大学．
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the semilinear partial differential equations in homogeneous and isotropic spacetimes2019
- Author(s)
  M. Nakamura
- Organizer
  Geometric Analysis and General Relativity
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] Global solutions for the semilinear diffusion equation in the de Sitter spacetime2019
- Author(s)
  M. Nakamura
- Organizer
  The 12th International ISAAC Congress,'' Session ``Recent Progress in Evolution Equations,'' 2019年7月29日～8月2日, The University of Aveiro, Portugal.
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] Global solutions for a semilinear diffusion equation in expanding or contracting spaces2019
- Author(s)
  Nakamura, Makoto; Sato Y.
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Global solutions for the semilinear diffusion equation in the de Sitter spacetime2019
- Author(s)
  M. Nakamura
- Organizer
  The 12th International ISAAC Congress
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] Some dissipative and anti-dissipative effects on semilinear PDEs in homogeneous and isotropic spaces2019
- Author(s)
  M. Nakamura
- Organizer
  三重偏微分方程式研究集会～西原健二先生の古希を記念して～, 2019 年 10 月 4 日, 三重大学．
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] Remarks on the Navier-Stokes equations in homogeneous and isotropic spacetimes2019
- Author(s)
  M. Nakamura
- Organizer
  第21回「特異点と時空、および関連する物理」研究会, 2019年12月28日, カレッジプラザ, 秋田市．
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the Cauchy problem for the semilinear Proca equations in the de Sitter spacetime2019
- Author(s)
  Nakamura, Makoto
- Organizer
  日本数学会2019年度秋季総合分科会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] On the semilinear partial differential equations in homogeneous and isotropic spacetimes2019
- Author(s)
  Nakamura, Makoto
- Organizer
  Geometric Analysis and General Relativity
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Global solutions for the semilinear diffusion equation in the de Sitter spacetime2019
- Author(s)
  M. Nakamura
- Organizer
  Nonlinear Dispersive Equations in Kumamoto, 2019
- Invited
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] Remarks on a semilinear diffusion equation in homogeneous and isotropic spaces,2019
- Author(s)
  Nakamura, Makoto
- Organizer
  Top global university project, Waseda workshop on partial differential equations 2019
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Partial differential equations in homogeneous and isotropic spaces2019
- Author(s)
  M. Nakamura
- Organizer
  日本数学会, 2019 年度秋季総合分科会，実関数論分科会, 2019 年 9 月 20 日，金沢大学特別講演）
- Invited
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] Asymptotic profiles of global solutions for the semilinear diffusion equation in the de Sitter spacetime2019
- Author(s)
  中村誠, 竹田寛志
- Organizer
  日本数学会2019年度秋季総合分科会関数方程式論分科会, 金沢大学
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] Remarks on a semilinear diffusion equation in homogeneous and isotropic spaces2019
- Author(s)
  M. Nakamura
- Organizer
  Top global university project, Waseda workshop on partial differential equations 2019
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the Navier-Stokes equations in homogeneous and isotropic spacetimes with a constant density of mass2019
- Author(s)
  M. Nakamura
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] On the Cauchy problem for the Navier-Stokes equations in the de Sitter spacetime2019
- Author(s)
  M. Nakamura
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] On the Cauchy problem for the Navier-Stokes equations in the de Sitter spacetime2019
- Author(s)
  Nakamura, Makoto
- Organizer
  日本数学会2019年度秋季総合分科会応用数学分科会
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Partial differential equations in homogeneous and isotropic spaces2019
- Author(s)
  Nakamura, Makoto
- Organizer
  日本数学会2019年度秋季総合分科会実関数論分科会
- Invited
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] On global solutions for the semilinear complex Ginzburg-Landau type equation in homogeneous and isotropic spaces2019
- Author(s)
  M. Nakamura
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] Global solutions for a semilinear diusion equation in expanding or contracting spaces2019
- Author(s)
  M. Nakamura, Y. Sato
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] Global solutions for the semilinear diffusion equation in the de Sitter spacetime2019
- Author(s)
  M. Nakamura
- Organizer
  Nonlinear Dispersive Equations in Kumamoto, 2019
- Invited
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] Partial dierential equations in uniform and isotropic spaces2019
- Author(s)
  M. Nakamura
- Organizer
  2018年度日本数学会東北支部会
- Invited
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] Remarks on the Navier-Stokes equations in homogeneous and isotropic spacetimes2019
- Author(s)
  M. Nakamura
- Organizer
  ``The 12th International ISAAC Congress,'' Session ``Partial Differential Equations on Curved Spacetimes." 2019年7月29日～8月2日, The University of Aveiro, Portugal.
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] Remarks on the Navier-Stokes equations in homogeneous and isotropic spacetimes2019
- Author(s)
  M. Nakamura
- Organizer
  The 12th International ISAAC Congress
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] On the Cauchy problem for the semilinear Proca equations in the de Sitter spacetime2019
- Author(s)
  M. Nakamura
- Organizer
  日本数学会, 2019 年度秋季総合分科会，函数方程式論分科会, 2019 年 9 月 20 日，金沢大学．
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] Remarks on the Navier-Stokes equations in homogeneous and isotropic spacetimes2019
- Author(s)
  M. Nakamura
- Organizer
  第21回「特異点と時空、および関連する物理」研究会
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] On the Navier-Stokes equations in homogeneous and isotropic spacetimes with a constant density of mass2019
- Author(s)
  M. Nakamura
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] Remarks on a semilinear diffusion equation in homogeneous and isotropic spaces2019
- Author(s)
  M. Nakamura
- Organizer
  Top global university project, Waseda workshop on partial differential equations 2019
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] On the Cauchy problem for a semilinear ordinary differential equation in homogeneous and isotropic spaces2019
- Author(s)
  Nakamura, Makoto
- Organizer
  日本数学会2019年度秋季総合分科会応用数学分科会
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] On global solutions for the semilinear complex Ginzburg-Landau type equation in homogeneous and isotropic spaces2019
- Author(s)
  Nakamura, Makoto
- Organizer
  日本数学会2019年度秋季総合分科会応用数学分科会
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Some dissipative and anti-dissipative effects on semilinear PDEs in homogeneous and isotropic spaces2019
- Author(s)
  Nakamura, Makoto
- Organizer
  三重偏微分方程式研究集会---西原健二先生の古希を記念して---
- Invited
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] On the semilinear partial differential equations in homogeneous and isotropic spacetimes2019
- Author(s)
  M. Nakamura
- Organizer
  Geometric Analysis and General Relativity, 2019年11月21日～23日, The University of Tokyo, Japan.
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the Cauchy problem for a semilinear ordinary differential equation in homogeneous and isotropic spaces2019
- Author(s)
  M. Nakamura
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] Global solutions for a semilinear diusion equation in expanding or contracting spaces2019
- Author(s)
  M. Nakamura and Y. Sato
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] Remarks on the Navier-Stokes equations in homogeneous and isotropic spacetimes2019
- Author(s)
  Nakamura, Makoto
- Organizer
  第21回「特異点と時空、および関連する物理」研究会
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Asymptotic profiles of global solutions for the semilinear diffusion equation in the de Sitter spacetime2019
- Author(s)
  M. Nakamura, H. Takeda
- Organizer
  日本数学会, 2019 年度秋季総合分科会，函数方程式論分科会, 2019 年 9 月 20 日，金沢大学．
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the Cauchy problem for the Navier-Stokes equations in the de Sitter spacetime2019
- Author(s)
  M. Nakamura
- Organizer
  日本数学会, 2019 年度秋季総合分科会，実関数論分科会, 2019 年 9 月 20 日，金沢大学．
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the Navier-Stokes equations in homogeneous and isotropic spacetimes with a constant density of mass2019
- Author(s)
  Nakamura, Makoto
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Partial dierential equations in uniform and isotropic spaces2019
- Author(s)
  M. Nakamura
- Organizer
  2018年度日本数学会東北支部会
- Invited
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the Cauchy problem for the semilinear Proca equations in the de Sitter spacetime2019
- Author(s)
  M. Nakamura
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] Global solutions for the semilinear diffusion equation in the de Sitter spacetime2019
- Author(s)
  Nakamura, Makoto
- Organizer
  Nonlinear Dispersive Equations in Kumamoto, 2019
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] Asymptotic profiles of global solutions for the semilinear diffusion equation in the de Sitter spacetime2019
- Author(s)
  M. Nakamura, H. Takeda
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] On the dissipative effect of the spatial expansion for the semilinear diffusion equation2018
- Author(s)
  Nakamura, Makoto
- Organizer
  East Asian Conference in Harmonic Analysis and its Applications 2018
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] On the global solutions for the semi-linear diffusion equation in de Sitter spacetime2018
- Author(s)
  Nakamura, Makoto
- Organizer
  Wayamba International Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] The Cauchy problem for Navier-Stokes equations in de Sitter spacetime2018
- Author(s)
  M. Nakamura
- Organizer
  Workshop on Mathematical Sciences
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] On the Navier-Stokes equation and the elastic wave equations in uniform and isotropic spaces2018
- Author(s)
  M. Nakamura
- Organizer
  Wayamba International Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] Remarks on the derivation of Navier-Stokes equations and elastic wave equations in uniform and isotropic spacetimes2018
- Author(s)
  M. Nakamura
- Organizer
  日本数学会年会, 東京大学.
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the global solutions for the semi-linear diffusion equation in de Sitter spacetime2018
- Author(s)
  M. Nakamura and Y. Sato
- Organizer
  Wayamba International Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] On the Navier-Stokes equation and the elastic wave equations in uniform and isotropic spaces2018
- Author(s)
  Nakamura, Makoto; Sato Y.
- Organizer
  Wayamba International Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] On some effects of background metrics for several partial diffential equations2018
- Author(s)
  M. Nakamura
- Organizer
  The 11th Mathematical Society of Japan, Seasonal Institute
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the numerical stability of semi-linear Klein-Gordon equations in de Sitter spacetime2018
- Author(s)
  M. Nakamura, T. Tsuchiya
- Organizer
  日本数学会年会, 東京大学.
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] The asymptotic behavior of the semi-linear diffusion equation in de Sitter spacetime2018
- Author(s)
  M. Nakamura and Y. Sato
- Organizer
  Workshop on Mathematical Sciences
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the Cauchy problem of a semilinear diffusion equation in an expanding space2018
- Author(s)
  M. Nakamura, Y. Sato
- Organizer
  日本数学会年会, 東京大学.
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the global solutions for the semi-linear diffusion equation in de Sitter spacetime2018
- Author(s)
  M. Nakamura and Y. Sato
- Organizer
  Wayamba International Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the dissipative effect of the spatial expansion for the semilinear diffusion equation2018
- Author(s)
  M. Nakamura
- Organizer
  East Asian Conference in Harmonic Analysis and its Applications 2018
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] The asymptotic behavior of the semi-linear diffusion equation in de Sitter spacetime2018
- Author(s)
  M. Nakamura and Y. Sato
- Organizer
  Workshop on Mathematical Sciences
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] On some effects of background metrics for several partial diffential equations2018
- Author(s)
  M. Nakamura
- Organizer
  The 11th Mathematical Society of Japan, Seasonal Institute
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17KK0082
[Presentation] On some effects of background metrics for several partial differential equations2018
- Author(s)
  Nakamura, Makoto
- Organizer
  The 11th Mathematical Society of Japan, Seasonal Institute (MSJ-SI): The Role of Metrics in the Theory of Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] The Cauchy problem for Navier-Stokes equations in de Sitter spacetime2018
- Author(s)
  Nakamura, Makoto; Sato Y.
- Organizer
  Wayamba International Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03370
[Presentation] The Cauchy problem for Navier-Stokes equations in de Sitter spacetime2018
- Author(s)
  M. Nakamura
- Organizer
  Workshop on Mathematical Sciences
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the Navier-Stokes equation and the elastic wave equations in uniform and isotropic spaces2018
- Author(s)
  M. Nakamura
- Organizer
  Wayamba International Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the dissipative effect of the spatial expansion for the semilinear diffusion equation2018
- Author(s)
  M. Nakamura
- Organizer
  East Asian Conference in Harmonic Analysis and its Applications 2018
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] Remarks on the derivation of several partial differential equations2017
- Author(s)
  M. Nakamura
- Organizer
  研究集会``Recent Topics on Partial Differential Equations," 中央大学.
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] Complex Ginzburg-type equations with semilinear terms as the nonrelativistic limit of field equations2017
- Author(s)
  M. Nakamura
- Organizer
  Seminar ``Phenomena and Differential Equations''
- Place of Presentation
  山形大学（山形県）
- Year and Date
  2017-03-21
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] Remarks on several second order partial differential equations and a generalization of the Einstein equation2017
- Author(s)
  M. Nakamura
- Organizer
  京都大学NLPDEセミナー, 京都大学.
- Invited
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On several partial differential equations in uniform and isotropic spaces2017
- Author(s)
  M. Nakamura
- Organizer
  研究集会「第19回特異点研究会」, 大阪市立大学.
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On Klein-Gordon equations with power type and exponential type semilinear terms in moving spacetim2017
- Author(s)
  M. Nakamura
- Organizer
  研究会``Recent topics on Partial Differential Equations''
- Place of Presentation
  山形大学（山形県）
- Year and Date
  2017-03-09
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the effects of spatial expansion and contraction on the semilinear Klein-Gordon equation2017
- Author(s)
  M. Nakamura
- Organizer
  研究集会"Nonlinear Wave and Dispersive Equations," 京都大学.
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] Nonlinear field equations in the de Sitter spacetime and the Cauchy problem2017
- Author(s)
  M. Nakamura
- Organizer
  Seminar ``Phenomena and Differential Equations''
- Place of Presentation
  山形大学（山形県）
- Year and Date
  2017-03-21
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] Dissipative effects of the cosmological constant on semilinear Schr\"odinger equations and parabolic equations2017
- Author(s)
  M. Nakamura
- Organizer
  研究会``Recent topics on Partial Differential Equations''
- Place of Presentation
  山形大学（山形県）
- Year and Date
  2017-03-09
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] The regularity of the semilinear term on the Cauchy problem for the Schroedinger equation2017
- Author(s)
  M. Nakamura
- Organizer
  The 11th ISAAC congress, Linnaeus University, Sweden.
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the regularity of power type nonlinear term of the Schroedinger equation2017
- Author(s)
  M. Nakamura
- Organizer
  East Asian Conference in Harmonic Analysis and its Applications 2017, Zhejiang University of Science and Technology, China.
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the Cauchy problem for semi-linear field equations in de Sitter spacetime2017
- Author(s)
  M. Nakamura
- Organizer
  Lectures, School of Mathematical Sciences, 北京大学, 中国.
- Invited
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] Remarks on semilinear field equations in uniform and isotropic spaces2017
- Author(s)
  M. Nakamura
- Organizer
  研究集会「微分方程式の総合的研究」, 東京工業大学.
- Invited
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] Dissipative effects of the spatial expansion for several PDEs2017
- Author(s)
  M. Nakamura
- Organizer
  研究集会「反応拡散方程式と非線形分散型方程式の解の挙動」, 京都大学.
- Invited
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the nonrelativistic limit of a semilinear field equation in uniform and isotropic space2017
- Author(s)
  M. Nakamura
- Organizer
  日本数学会年会
- Place of Presentation
  首都大学東京（東京都）
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the Cauchy problem for semi-linear Klein-Gordon equations in de Sitter spacetime2017
- Author(s)
  M. Nakamura
- Organizer
  The 27th Workshop on General Relativity and Gravitation in Japan，東広島市くららホール.
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the derivation of several second order partial differential equations from the Einstein equation2017
- Author(s)
  M. Nakamura
- Organizer
  日本数学会年会
- Place of Presentation
  首都大学東京（東京都）
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the derivation of a semilinear field equation in a uniform and isotropic space2016
- Author(s)
  M. Nakamura
- Organizer
  Wayamba International Conference
- Place of Presentation
  Wayamba University of Sri Lanka, Sri Lanka
- Year and Date
  2016-08-19
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] Some effects of the spatial variance on the Cauchy problem for partial differential equations2016
- Author(s)
  M. Nakamura
- Organizer
  RIMS研究集会「調和解析と非線形偏微分方程式」
- Place of Presentation
  京都大学（京都府）
- Year and Date
  2016-07-04
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On a derivation of partial differential equations based on the relativistic theory2016
- Author(s)
  M. Nakamura
- Organizer
  信州大学偏微分方程式研究集会
- Place of Presentation
  信州大学
- Year and Date
  2016-06-17
- Invited
- Data Source
  KAKENHI-PROJECT-25400176
[Presentation] Some effects of the spatial variance on the Cauchy problem for partial differential equations2016
- Author(s)
  M. Nakamura
- Organizer
  RIMS研究集会「調和解析と非線形偏微分方程式」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2016-07-04
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400176
[Presentation] The Cauchy problem for a semilinear field equation in complex coordinates2016
- Author(s)
  M. Nakamura
- Organizer
  Workshop on Mathematical Sciences
- Place of Presentation
  Wayamba University of Sri Lanka, Sri Lanka.
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On a derivation of partial differential equations based on the relativistic theory2016
- Author(s)
  M. Nakamura
- Organizer
  信州大学偏微分方程式研究集会
- Place of Presentation
  信州大学（長野県）
- Year and Date
  2016-06-17
- Invited
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the nonrelativistic limits of semilinear field equations for complex metrics2016
- Author(s)
  M. Nakamura
- Organizer
  研究会「Topics on Partial Differential Equations」
- Place of Presentation
  京都産業大学(京都府）
- Data Source
  KAKENHI-PROJECT-16H03940
[Presentation] On the effect of spatial variance on partial differential equations in uniform and isotropic spaces2015
- Author(s)
  中村誠
- Organizer
  名古屋微分方程式セミナー
- Place of Presentation
  名古屋大学
- Year and Date
  2015-12-21
- Invited
- Data Source
  KAKENHI-PROJECT-25400176
[Presentation] Remarks on the effect of spatial expansion for nonlinear partial differential equations2015
- Author(s)
  M. Nakamura
- Organizer
  第40回偏微分方程式論札幌シンポジウム
- Place of Presentation
  北海道大学
- Year and Date
  2015-08-19
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400176
[Presentation] The Cauchy problem for nonlinear complex Ginzburg-Landau equations2015
- Author(s)
  M. Nakamura
- Organizer
  10th International ISAAC Conference
- Place of Presentation
  University of Macau, China
- Year and Date
  2015-08-03
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400176
[Presentation] On the effect of spatial expansion on nonlinear Schrodinger equations2015
- Author(s)
  M. Nakamura
- Organizer
  熊本大学セミナー
- Place of Presentation
  熊本大学
- Year and Date
  2015-03-14
- Invited
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] On the existence time of the solutions of the scaling critical semilinear Schrodinger equations2015
- Author(s)
  M. Nakamura
- Organizer
  Workshop on recent progress in evolution equations
- Place of Presentation
  Guangdong University of Finance, Guangzhou
- Year and Date
  2015-08-10
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400176
[Presentation] The Cauchy problem for nonlinear complex Ginzburg-Landau equations2015
- Author(s)
  M. Nakamura
- Organizer
  10th International ISAAC Congress
- Place of Presentation
  マカオ（中国）
- Year and Date
  2015-08-05
- Invited
- Data Source
  KAKENHI-PROJECT-24340024
[Presentation] On the nonrelativistic limit of nonlinear field equations2015
- Author(s)
  中村誠
- Organizer
  第26回南大阪応用数学セミナー
- Place of Presentation
  大阪市立大学
- Year and Date
  2015-07-11
- Invited
- Data Source
  KAKENHI-PROJECT-25400176
[Presentation] An application of the Trudinger-Moser inequality to nonlinear Klein-Gordon equations with singular weights2014
- Author(s)
  M. Nakamura
- Organizer
  Recent topics in Partial Differential Equations
- Place of Presentation
  山形大学
- Year and Date
  2014-05-17
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] Nonlinear Schrodinger equations in curved spacetime2014
- Author(s)
  M. Nakamura
- Organizer
  Hakodate workshop on nonlinear wave equations
- Place of Presentation
  公立はこだて未来大学
- Year and Date
  2014-05-24
- Invited
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] Dissipative structure of nonlinear Klein-Gordon equations in expanding spacetime2014
- Author(s)
  M. Nakamura
- Organizer
  Recent topics in Partial Differential Equations
- Place of Presentation
  山形大学
- Year and Date
  2014-05-18
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] 波動の数学解析2014
- Author(s)
  M. Nakamura
- Organizer
  第18回理工学研究科セミナー
- Place of Presentation
  山形大学
- Year and Date
  2014-05-27
- Invited
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] Dissipative property of nonlinear Schrodinger equations in de Sitter spacetime2014
- Author(s)
  M. Nakamura
- Organizer
  Workshop in Mathematical Sciences
- Place of Presentation
  Wayamba University of Sri Lanka, Sri Lanka
- Year and Date
  2014-08-31
- Invited
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] The Cauchy problem for nonlinear Klein-Gordon equations in de Sitter spacetime2013
- Author(s)
  中村誠
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  愛媛大学 (松山市）
- Data Source
  KAKENHI-PROJECT-24340024
[Presentation] Global solutions for nonlinear Klein-Gordon equation in de Sitter spacetime2013
- Author(s)
  M. Nakamura
- Organizer
  1st East Asian Conference in Harmonic analysis and Applications
- Place of Presentation
  Seoul National University, Korea
- Data Source
  KAKENHI-PROJECT-25400176
[Presentation] Remarks on a weighted energy estimate and> its application to nonlinear wave equations in one space dimension2013
- Author(s)
  中村誠
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  愛媛大学 (松山市）
- Data Source
  KAKENHI-PROJECT-24340024
[Presentation] Energy solutions for nonlinear Klein-Gordon equations in de Sitter spacetime2013
- Author(s)
  M. Nakamura
- Organizer
  Special session 9: Qaulitative properties of evolution models, 9th International ISAAC Congress
- Place of Presentation
  Pedagogical University, Krakow, Poland.
- Data Source
  KAKENHI-PROJECT-23654061
[Presentation] Energy solutions for nonlinear Klein-Gordon equations in de Sitter spacetime2013
- Author(s)
  M. Nakamura
- Organizer
  9th International ISAAC Congress
- Place of Presentation
  Pedagogical University, Krakow, Poland
- Data Source
  KAKENHI-PROJECT-25400176
[Presentation] Energy estimates for nonlinear Klein-Gordon equations in de Sitter spacetime2013
- Author(s)
  Makoto Nakamura
- Place of Presentation
  Pedagogical University, Krakow, Poland
- Year and Date
  2013-08-05
- Data Source
  KAKENHI-PROJECT-23654061
[Presentation] The Cauchy problem for dissipative wave equations with weighted nonlinear terms2012
- Author(s)
  中村誠, 和田出秀光
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] Remarks on global solutions for nonlinear wave equations under the standard null conditions2012
- Author(s)
  中村誠
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] The Cauchy problem for dissipative wave equations with weighted nonlinear terms2012
- Author(s)
  M. Nakamura, H. Wadade
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  九州大学 (福岡市)
- Year and Date
  2012-09-21
- Data Source
  KAKENHI-PROJECT-24340024
[Presentation] 重み付きMoser-Trudinger型不等式の最良定数について2011
- Author(s)
  石渡通徳、中村誠、和田出秀光
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  信州大学
- Year and Date
  2011-09-29
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] Global and almost global solutions for some nonlinear parabolic equations in Besov spaces and Triebel-Lizorkin spaces2011
- Author(s)
  岩渕司、中村誠
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  信州大学
- Year and Date
  2011-09-29
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] On Keel-Smith-Sogge estimates and some applications2010
- Author(s)
  M. Nakamura
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-25
- Data Source
  KAKENHI-PROJECT-19684002
[Presentation] Global existence and asymptotic behavior of solutions for the Dirac equation of Hartree type2010
- Author(s)
  M. Nakamura and K. Tsutaya
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-24
- Data Source
  KAKENHI-PROJECT-21540206
[Presentation] Global existence and asymptotic behavior of solutions for the Dirac equation of Hartree type2010
- Author(s)
  M. Nakamura, K. Tsutaya
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-24
- Data Source
  KAKENHI-PROJECT-19684002
[Presentation] On global solutions for nonlinear wave equations with localized dissipations2010
- Author(s)
  M. Nakamura
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-25
- Data Source
  KAKENHI-PROJECT-19684002
[Presentation] Nonlinear wave equations with localized dissipations in exterior domains2008
- Author(s)
  中村誠
- Organizer
  The 7th AIMS International Conference
- Place of Presentation
  University of Texas at Arlington, Arhngton, 米国
- Year and Date
  2008-05-21
- Data Source
  KAKENHI-PROJECT-19684002
[Presentation] General quasilinear wave equations with localized dissipation in exterior domains2008
- Author(s)
  M. Nakamura
- Organizer
  The 7th AIMS International Conference, University of Texas at Arlington
- Place of Presentation
  Arlington, USA
- Year and Date
  2008-05-21
- Data Source
  KAKENHI-PROJECT-19684002
[Presentation] 非線形波動方程式の外部問題について2007
- Author(s)
  中村誠
- Organizer
  日本数学会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-23
- Data Source
  KAKENHI-PROJECT-19684002
[Presentation] 非線形波動方程式の外部問題について2007
- Author(s)
  中村誠
- Organizer
  日本数学会2007年度秋季総合分科会, 特別講演
- Place of Presentation
  東北大学
- Year and Date
  2007-09-23
- Data Source
  KAKENHI-PROJECT-19684002
[Presentation] 非線形波動方程式の外部問題について2007
- Author(s)
  M. Nakamura
- Organizer
  日本数学会2007年度秋季総合分科会
- Place of Presentation
  東北大学(特別講演)
- Year and Date
  2007-09-23
- Data Source
  KAKENHI-PROJECT-19684002
[Presentation] Remarks on a dispersive equation in de Sitter space- time
- Author(s)
  M. Nakamura
- Organizer
  Analysis of hyperbolic PDEs, 10th AIMS Conference on Dy- namical Systems, Differential Equations and Applications
- Place of Presentation
  Universidad Autonoma de Madrid（スペイン・マドリード）
- Year and Date
  2014-07-07 – 2014-07-11
- Invited
- Data Source
  KAKENHI-PROJECT-24340024
[Presentation] On small solutions for nonlinear wave equations in exterior domains
- Author(s)
  M. Nakamura
- Organizer
  Lectures, School of Mathematical Sciences,
- Place of Presentation
  北京大学, 中国
- Invited
- Data Source
  KAKENHI-PROJECT-23654061
[Presentation] Remarks on Klein-Gordon equations with exponential nonlinearity
- Author(s)
  M. Nakamura
- Organizer
  Recent Progress in Wave Models
- Place of Presentation
  中央大学
- Data Source
  KAKENHI-PROJECT-25400176
[Presentation] The Cauchy problem of semilinear Schrodinger equations in curved backgroun
- Author(s)
  M. Nakamura
- Organizer
  Wayamba International Conference
- Place of Presentation
  Wayamba University of Sri Lanka, Sri Lanka
- Year and Date
  2014-08-29 – 2014-08-30
- Invited
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] Klein-Gordon equations with singular nonlinear terms
- Author(s)
  M. Nakamura
- Organizer
  Seminar for recent topics in PDE
- Place of Presentation
  北海道工業大学
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] Local and global solutions for nonlinear dissipative equations in energy spaces
- Author(s)
  M. Nakamura
- Organizer
  Recent topics related to partial differential equations
- Place of Presentation
  山形大学
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] The Cauchy problem for nonlinear Klein-Gordon equations in de Sitter spacetime
- Author(s)
  M. Nakamura
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-25400176
[Presentation] Remarks on nonlinear Schrodinger equations in curved spacetime
- Author(s)
  M. Nakamura
- Organizer
  ICM 2014 Satellite Conference in Harmonic Analysis
- Place of Presentation
  Chosun University, Korea
- Year and Date
  2014-08-04 – 2014-08-08
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] Nonlinear Klein-Gordon equation in de Sitter spacetime and its related topics
- Author(s)
  M. Nakamura
- Organizer
  京都大学NLPDEセミナー
- Place of Presentation
  京都大学.
- Invited
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] Remarks on a dispersive equation in de Sitter spacetime
- Author(s)
  M. Nakamura
- Organizer
  Analysis of hyperbolic PDEs, 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications in Madrid
- Place of Presentation
  Madrid, Spain
- Year and Date
  2014-07-07 – 2014-07-11
- Invited
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] Remarks on Klein-Gordon equations with exponential nonlinearity
- Author(s)
  M. Nakamura
- Organizer
  Recent Progress in Wave Models
- Place of Presentation
  中央大学
- Invited
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] Global solutions for nonlinear Klein-Gordon equation in de Sitter spacetime
- Author(s)
  M. Nakamura
- Organizer
  1st East Asian Conference in Harmonic analysis and Applications
- Place of Presentation
  Seoul National University, Korea
- Invited
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] The Cauchy problem for nonlinear Schrodinger equations in de Sitter spacetime
- Author(s)
  M. Nakamura
- Organizer
  International Conference on Recent Advances in Hyperbolic Partial Differential Equations
- Place of Presentation
  広島国際会議場
- Year and Date
  2014-12-04 – 2014-12-06
- Invited
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] Energy solutions for nonlinear Klein-Gordon equations in de Sitter spacetime
- Author(s)
  M. Nakamura
- Organizer
  9th International ISAAC Congress
- Place of Presentation
  Pedagogical University, Krakow, Poland
- Invited
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] The Cauchy problem for nonlinear Schrodinger equations in de Sitter spacetime
- Author(s)
  M. Nakamura
- Organizer
  International Conference on Recent Advances in Hyperbolic Partial Differential Equations
- Place of Presentation
  広島国際会議場
- Year and Date
  2014-12-04 – 2014-12-06
- Invited
- Data Source
  KAKENHI-PROJECT-25400176
[Presentation] Remarks on a weighted energy estimate and its application to nonlinear wave equations in one space dimension
- Author(s)
  M. Nakamura
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-25400176
[Presentation] Global solutions for nonlinear Klein-Gordon equations in de Sitter spacetime
- Author(s)
  M. Nakamura
- Organizer
  第13回さいたま数理解析セミナー
- Place of Presentation
  埼玉大学サテライトキャンパス
- Invited
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] On the Cauchy problem for nonlinear Schrodinger equations in de Sitter spacetime
- Author(s)
  M. Nakamura
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  広島大学
- Year and Date
  2014-09-25 – 2014-09-28
- Invited
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] Einstein の重力場方程式の初期値問題－１
- Author(s)
  M. Nakamura
- Organizer
  Encounter with Mathematics, 第62回波動方程式 --古典物理から相対論まで--
- Place of Presentation
  中央大学
- Year and Date
  2014-09-15 – 2014-09-16
- Invited
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] The Cauchy problem for nonlinear Klein-Gordon equations in de Sitter spacetime
- Author(s)
  M. Nakamura
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] The Cauchy problem for nonlinear Schrodingier equation in fractional order Sobolev spaces
- Author(s)
  M. Nakamura, T. Wada
- Organizer
  日本数学会年会
- Place of Presentation
  明治大学
- Year and Date
  2015-03-21 – 2015-03-24
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] On small solutions for nonlinear wave equations in exterior domains
- Author(s)
  M. Nakamura
- Organizer
  Lectures, School of Mathematical Sciences
- Place of Presentation
  北京大学, 中国.
- Invited
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] Global solutions for nonlinear Schrodinger equations in spatial expansion
- Author(s)
  M. Nakamura
- Organizer
  2nd East Asian Conference in Harmonic Analysis and Applications
- Place of Presentation
  Mudanjiang Normal University
- Year and Date
  2014-07-10 – 2014-07-16
- Invited
- Data Source
  KAKENHI-PROJECT-25400176
[Presentation] Remarks on a weighted energy estimate and its application to nonlinear wave equations in one space dimension
- Author(s)
  M. Nakamura
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] Einstein の重力場方程式の初期値問題－２
- Author(s)
  M. Nakamura
- Organizer
  Encounter with Mathematics, 第62回波動方程式 --古典物理から相対論まで--
- Place of Presentation
  中央大学
- Year and Date
  2014-09-15 – 2014-09-16
- Invited
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] Remarks on Strichartz estimates and an application for nonlinear Schrodinger equations
- Author(s)
  M. Nakamura
- Organizer
  数理物理に現れる偏微分方程式研究会
- Place of Presentation
  静岡県賀茂郡松崎町雲見
- Year and Date
  2015-01-09 – 2015-01-11
- Invited
- Data Source
  KAKENHI-PROJECT-23684004
[Presentation] On small solutions for nonlinear Klein-Gordon equations in exterior domains
- Author(s)
  Makoto Nakamura
- Organizer
  集中講義
- Place of Presentation
  北京大学, 中国
- Data Source
  KAKENHI-PROJECT-23654061
[Presentation] Global solutions for nonlinear Schrodinger equations in spatial expansion
- Author(s)
  M. Nakamura
- Organizer
  2nd East Asian Conference in Harmonic Analysis and Applications
- Place of Presentation
  Mudanjiang Normal University, China
- Year and Date
  2014-07-10 – 2014-07-16
- Invited
- Data Source
  KAKENHI-PROJECT-23684004

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NAKAMURA Makoto 中村 誠

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相対論的流体方程式の研究Principal Investigator

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Research for the Cauchy problem for nonlinear Klein-Gordon equations in homogeneous and isotropic spacesPrincipal Investigator

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Comprehensive research of Einstein's equations based on analysisPrincipal Investigator

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Research on initial and boundary value problems, and space-time estimates for nonlinear partial differential equationsPrincipal Investigator

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NAKAMURA Makoto 中村誠