NAWA Hayato 名和範人

… Alternative Names

名和範人ナワハヤト

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Researcher Number	90218066
Other IDs
External Links
Affiliation (Current)	2025: 明治大学, 理工学部, 専任教授
Affiliation (based on the past Project Information) *help	2016 – 2022: 明治大学, 理工学部, 専任教授 2012 – 2015: 明治大学, 理工学部, 教授 2012: 大阪大学, 大学院・基礎工学研究科, 教授 2010 – 2012: 大阪大学, 基礎工学研究科, 教授 2007 – 2009: Osaka University, Graduate School of Science, Full Professor … More 2007: Osaka University, 基礎工学研究科, 教授 2005 – 2006: 大阪大学, 大学院基礎工学研究科, 教授 2004 – 2005: 大阪大学, 大学院・基礎工学研究科, 教授 1996 – 2003: 名古屋大学, 大学院・多元数理科学研究科, 助教授 1997: 名大, 多元数理科学研究科, 助教授 1994: 東京工業大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Basic analysis / Global analysis / Mathematical analysis / 解析学 Except Principal Investigator Global analysis / General mathematics (including Probability theory/Statistical mathematics) / Geometry / Foundations of mathematics/Applied mathematics / Global analysis / General mathematics (including Probability theory/Statistical mathematics) / 解析学
Keywords	Principal Investigator 爆発解 / 非線形シュレーディンガー方程式 / シュレーディンガー方程式 / 重対数法則 / 解の爆発 / 確率過程 / オイラー方程式 / 非圧縮性オイラー方程式 / 乱流 / 確率微分方程式 … More / 非線形偏微分方程式 / 特異点 / ネルソン拡散過程 / 非線形光学 / 非線形シュレディンガー方程式 / 乱流の可視化 / 古典乱流 / 走化性方程式 / 基底波解の存在 / 確率過程論 / 散乱理論 / 基底波解 / Gauge theory / Dynamical systems / Bifurcation analysis / Hot spot movement / Pattern Formation / Blow up phenomena / Heat equations / Nonlinear Schrodinger Equations / カナダ:イスラエル / 国際情報交換 / 半線形放物型方程式 / 非線型シュレディンガー方程式 / 固有値問題 / 半線形熱方程式 / くりこみ群 / 漸近挙動 / ゲージ理論 / 力学系 / 分岐解析 / 最大点挙動 / パターン形成 / 爆発現象 / 熱方程式 / 爆発解の延長 / 非線形偏微分放映式 / 国際研究者交流（イスラエル） / 等高面 / 曲率流 / ネルソン拡散課程 / 爆発速度 / 等位面 / クリスタライン / 曲線の運動 / 確率解析 / 超流動 / 散逸的弱解 / 自己組織化 / 自己集束 / レーザービーム / ボーズ=アインシュタイン凝縮 / 非線形散乱理 / ボース=アインシュタイン凝縮 / 非線形散乱理論 / 古典力学系 / 非相対論的場の量子論 / mesoscopic系 / 量子化 / Nelson diffusion / 非線形Schrodinger方程式 / ブラウン運動 / ネルソン拡散 / 特異点の生成 / シュレディンガー方程式 / 非線形 / クライン=ゴルドン方程式 / マックスウェル方程式 / メソスコピック系 … More Except Principal Investigator 熱方程式 / 解の爆発 / 力学系 / 標準形 / ノイマン条件 / 爆発問題 / 乱流 / 双対変分原理 / 質量量子化 / 臨界指数 / 変分構造 / 圧縮性流体 / 走化性 / 凝縮 / 爆発 / 双対変分構造 / スケーリング / ハミルトン力学系 / 力学系理論 / ソリトン解 / 確率的な摂動を受ける系 / 非可積分性 / パルス解 / ホモクリニック軌道 / 反転可能系 / 中心多様体 / ネットワーク / 可換ベクトル場 / 第一積分 / 偏微分方程式系 / 反転対称系 / 保存系 / 最適制御 / 逆散乱法 / 時間遅れ系 / 結合振動子系 / ハミルトン系 / ソリトン / 偏微分方程式 / 分岐 / 可積分性 / 数値計算法 / 非線形偏微分方程式 / 爆発領域 / 爆発オーダー / 微分方程式 / 非線型現象 / 爆発解 / スケール不変性 / 関数微分方程式 / 確率微分方程式 / 再爆発現象 / 爆発曲線 / 領域爆発 / 爆発レート / 数値解析 / Pattern Selection / Turing Bifuracation / 3-component Reaction-Diffusion system / Electro-Chemical Oscillation / Bifurcation Analysis / Degenerate Hoof Bifurcation / Wave Bifurcation / 反応拡散系 / Standing Wave / Rotating Wave / パターン選択 / チューリング分岐 / 3変数反応拡散系 / 電気化学振動反応 / 分岐解析 / 多重Hopf分岐 / ウェーブ分岐 / stationary turbulence / self-dual eauee theory / self-interacting fluid / chemotaxis / variational structure / blowup of the solution / mean field hierarchy / nonlinear problems / Ginzburg-Landau理論 / 界面 / 自己相似解 / 走化性方程式 / 対称化の方法 / 渦渡平均場方程式 / Gibbs測度 / 臨界現象 / 無限時間爆発 / 非局所項 / Trudinger-Moser不等式 / 平均場 / 自己重力流体 / 非平衡熱力学 / コラプス / 非線形倫微分方程式 / 定常乱流 / 自己双対ゲージ理論 / 自己相互作用流体 / 平均場階層 / 非線形問題 / eigenfunction / exterior domain / movement of hot spots / blow-up problem / heat equation / 固有空間 / 爆発集合 / 拡散方程式 / ディリクレ境界条件 / エントロピー / 固有関数 / 外部領域 / 最大点挙動 / nonneqstibe solution / neumann condition / blow-up prololem / heat ezuation. / コーシー問題 / 非負値解 / Yang-Mills connection / Heat Flow / Yang-Mills接続 / Radon transformation / integral geometry / Lemma on logauthmic derivative / Diophantine geometry / Nevanlinna theory / Weighted Scholev不等式 / 対称性 / hyper-Kahler構造 / Ricci-flat K“ahler計量 / K3曲面 / ソボレフ不等式 / リッチフラットケーラー計量 / チェビシエフ不等式 / 値分布論 / ディオファンタス幾何学 / ラドン変換 / 積分幾何学 / 対数微分の補題 / ディオファントス幾何学 / ネヴァンリンナ理論 / Group theory / Hamiltonian dynamics / Navier-Strokes equations / geophysical flows / diffusion / vortex motion / fluid mechanics / turbulence / ランダムネス / シンプレクティック積分 / ランダム現象 / 密度成層 / 渦度 / エネルギーカスケード / 特異点 / 自己相似性 / 群論 / Navier-Stokes方程式 / 地球流体 / 拡散 / 渦運動 / 流体力学 / Euler-α方程式 / クゥエット流 / 位相正則化 / 点渦統計力学 / 衝突多様体 / 乱流モデル / エンストロフィー / 自己相似衝突解 / α点渦系 / 点渦力学 / 一様等方乱流 / 衝突解 / 点渦系 / オイラーα方程式 / オイラー方程式 / 散逸的弱解 / 渦層 / 点渦 / 量子化する爆発機構 / サブコラプスの生成 / コラプスの衝突 / 臨界ソボレフ指数 / 循環的階層 / 腫瘍形成 / 粘弾性熱方程式 / タイプIIの爆発レート / 非線形スペクトル力学 / 特異性 / 自己組織化 / 非線形現象 / Hadamard変分 / 粘弾性記憶形状合金 / 漸近的非退化性 / 点渦乱流平均場方程式 / 量子化爆発機構 / Smoluchowski-Poisson方程式 / 退化放物型方程式 / Gel’fand 方程式 / 点渦乱流平均場 / Lotka-Volterra系 / 競合的走化性 / 記憶形状物質 / 熱弾性 / 点渦乱流 / 量子化 / 変位の指数 / 自己抑制経路 / 非マルコフ確率過程 / ブラックショールズ / 数理ファイナンス / 流体力学極限 / 確率連鎖 / 高次元ガスケット / 自己回避路 / 固定点の唯一性 / Burgers方程式 / 確率ランキング模型 / 無限粒子系 / 二分木 / 自己回避経路 / 非マルコフ / 確率過程 / スケール極限 / くりこみ群 / 放物形方程式 / 変分問題 / ヤングミルズ場 / マルコフ写像 / ゼータ関数 / フックス群 / シュレディンガー方程式 / スーパー解析学 / WKB法 / 可積分系 Less

New Developments of Dynamical Systems Theory for Diverse Mathematical Models
- Principal Investigator
  
  Yagasaki Kazuyuki
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Kyoto University
Nonlinear Analysis and Stochastic Differential EquationsPrincipal Investigator
- Principal Investigator
  
  Nawa Hayato
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Mathematical analysis
- Research Institution
  Meiji University
Development of numerical analysis of blow-up phenomena - blow-up curve, regional blow-up, multiple blow-up -
- Principal Investigator
  
  Ishiwata Tetsuya
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Shibaura Institute of Technology
Stochastic Processes and Statistical Phenomena behind Partial Differential EquaitonsPrincipal Investigator
- Principal Investigator
  
  NAWA Hayato
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Meiji University
  Osaka University
An investigation of the continuation problem for the nonlinear Schroedinger equations beyond the singularityPrincipal Investigator
- Principal Investigator
  
  NAWA Hayato
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Meiji University
  Osaka University
Towards a mathematical theory of fluid turbulence via singular vortex dynamics
- Principal Investigator
  
  SAKAJO Takashi
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hokkaido University
Analysis for nonlinear critical phenomena described by mean field equations
- Principal Investigator
  
  SUZUKI Takashi
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
非線形シュレーディンガー方程式とネルソン拡散過程Principal Investigator
- Principal Investigator
  
  名和範人
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
Towards a mathematical foundation of renormalization group oriented stochastic analysis
- Principal Investigator
  
  HATTORI Tetsuya
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tohoku University
Global Bifurcation Analysis for tindorstruiding and Control of Pattern Dynan-dm
- Principal Investigator
  
  OGAWA Toshiyuki
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka University
Mathematical Study of the Nonlinear Partial Differential Equations Arising in the Statistical Mechanics
- Principal Investigator
  
  SUZUKI Takashi
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
Asymptotic behavior of solutions for some diffusive equations and its applications
- Principal Investigator
  
  ISHIGE Kazuhiro
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
  Nagoya University
Formation of Singulatiries in Solutions of Nonlinear Schrodinger Equations and Related FieldsPrincipal Investigator
- Principal Investigator
  
  NAWA Hayato
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
  Nagoya University
Structure of nonnegative sloutions of diffusive equetious and its applications
- Principal Investigator
  
  ISHIGE Kazuhiro
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Nagoya University
非線形シュレディンガー方程式とメソスコピック系Principal Investigator
- Principal Investigator
  
  名和範人
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Nagoya University
Radon transformation in Nevanlinina theory and Diophantire approximation
- Principal Investigator
  
  KOBAYASHI Ryoichi
- Project Period (FY)
  1997 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (A).
- Research Field
  
  Geometry
- Research Institution
  Nagoya University
Variational Problems in Differential Geometry
- Principal Investigator
  
  NAITO Hisashi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Nagoya University
微分幾何学における変分問題の解析的側面の研究
- Principal Investigator
  
  NAITO Hisashi
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nagoya University
非線形シュレディンガー方程式とメソスコピック系Principal Investigator
- Principal Investigator
  
  名和範人
- Project Period (FY)
  1996 – 1998
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  解析学
- Research Institution
  Nagoya University
Studies of Turbulence as a Nonlinear Science
- Principal Investigator
  
  KIMURA Yoshifumi
- Project Period (FY)
  1996 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Nagoya University
可積分ハミルトン系の特異点と摂動問題
- Principal Investigator
  
  伊藤秀一
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Institute of Technology

[Journal Article] Non-existence of ground states and gap of variational values for 3D Sobolev critical nonlinear scalar field equations2022
- Author(s)
  Akahori Takafumi、Ibrahim Slim、Kikuchi Hiroaki、Nawa Hayato
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 334 Pages: 25-86
- DOI
  10.1016/j.jde.2022.06.016
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03706, KAKENHI-PROJECT-17H02859
[Journal Article] Global dynamics above the ground state energy for the combined power-type nonlinear Schrodinger equations with energy-critical growth at low frequencies2021
- Author(s)
  Akahori Takafumi、Ibrahim Slim、Kikuchi Hiroaki、Hayato Nawa
- Journal Title
  
  Memoirs of the American Mathematical Society
  
  Volume: 272 Issue: 1331
- DOI
  10.1090/memo/1331
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03706, KAKENHI-PROJECT-17H02859
[Journal Article] Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies2019
- Author(s)
  Takafumi Akahori, Slim Ibrahim, Norihisa Ikoma, Hiroaki Kikuchi, Hayato Nawa
- Journal Title
  
  Calculus of Variations and Partial Differential Equations
  
  Volume: 印刷中
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02859
[Journal Article] Nelson 拡散過程と非線形 Schroedinger 方程式2019
- Author(s)
  名和範人
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 印刷中
- Data Source
  KAKENHI-PROJECT-15K13450
[Journal Article] Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies2019
- Author(s)
  Akahori T., Ibrahim S., Ikoma N., Kikuchi H. and Nawa H.
- Journal Title
  
  Calculus of Variations and Partial Differential Equations
  
  Volume: 58 Issue: 4 Pages: 1-32
- DOI
  10.1007/s00526-019-1556-6
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02851, KAKENHI-PROJECT-17K14223, KAKENHI-PROJECT-17H02855, KAKENHI-PROJECT-17H02859
[Journal Article] Global dynamics above the ground state energy for the combined power type nonlinear Schrodinger equations with energy critical growth at low frequencies2019
- Author(s)
  Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi, Hayato Nawa
- Journal Title
  
  The Memoirs of the AMS
  
  Volume: 印刷中
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02859
[Journal Article] Global dynamics above the ground state energy for the combined power type nonlinear Schrodinger equations with energy critical growth at low frequencies2019
- Author(s)
  Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi, Hayato Nawa
- Journal Title
  
  The Memoirs of the AMS
  
  Volume: 印刷中
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13450
[Journal Article] Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies2019
- Author(s)
  Takafumi Akahori, Slim Ibrahim, Norihisa Ikoma, Hiroaki Kikuchi, Hayato Nawa
- Journal Title
  
  Calculus of Variations and Partial Differential Equations
  
  Volume: 掲載受理
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13450
[Journal Article] An Essay on A Statistical Theory of Turbulence2015
- Author(s)
  名和範人
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1947 Pages: 115-133
- NAID
  40020320956
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23340030
[Journal Article] 乱流場の統計力学: ひとつの試論2014
- Author(s)
  松本剛, 名和範人, 坂上貴之
- Journal Title
  
  ながれ
  
  Volume: 33 Pages: 83-100
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23340030
[Journal Article] Nelson Diffusions and Nonlinear Schrodinger equations2013
- Author(s)
  名和範人 (Hayato Nawa)
- Journal Title
  
  数理解析研究所講究録１８２３　(RIMS Kokyuroku 1823)
  
  Volume: 1823
- NAID
  120006861700
- Data Source
  KAKENHI-PROJECT-23340030
[Journal Article] Blowup and scattering problems for the nonlinear Schrodinger equations2013
- Author(s)
  Takafumi Akahori, Hayato Nawa
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: vol 53, no 3 Issue: 3 Pages: 629-672
- DOI
  10.1215/21562261-2265914
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340030, KAKENHI-PROJECT-25800077
[Journal Article] Nelson diffusions and nonlinear Schrodinger equations2013
- Author(s)
  H. Nawa
- Journal Title
  
  RIMS Kokyuroku ``Stochastic processes and statistical phenomena behind PDEs''
  
  Volume: 1823
- NAID
  120006861700
- Data Source
  KAKENHI-PROJECT-23654052
[Journal Article] Existence of a ground state and scattering for a nonlinear Schrodinger equation with critical growth2013
- Author(s)
  Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi, Hayato Nawa
- Journal Title
  
  Selecta Mathematica, new series
  
  Volume: vol 19, issue 2 Issue: 2 Pages: 545-609
- DOI
  10.1007/s00029-012-0103-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340030, KAKENHI-PROJECT-23654052, KAKENHI-PROJECT-25800077
[Journal Article] Scattering and blowup problems for a class of nonlinear Schrodinger equations2012
- Author(s)
  T.Akahori, H.Kikuchi, H.Nawa,
- Journal Title
  
  Differential and Integral Equations
  
  Volume: vol25, no 11-12
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654052
[Journal Article] Existence of a ground state and blow-up problem for a nonlinear Schr\"odinger equation with critical growth2012
- Author(s)
  T. Akahori, S. Ibrahim, H. Kikuchi, H. Nawa
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 25
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654052
[Journal Article] Existence of a ground state and blow-up problem for a nonlinearSchrodinger equation with critical growth2012
- Author(s)
  赤堀公史, Slim Ibrahim, 菊池弘明, 名和範人
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 25 Pages: 383-402
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340030
[Journal Article] Scattering and blowup problems for a class of nonlinear Schrodinger equations2012
- Author(s)
  Takafumi Akahori, Hiroaki Kikuchi, Hayato Nawa
- Journal Title
  
  Differential and Integral Equations
  
  Volume: vol 25, no 11-12
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340030
[Journal Article] Existence of a ground state and blow-up problem for a nonlinear Schrodinger equation with critical growth2012
- Author(s)
  K.Akahori, S.Ibrahim, H.Kikuchi, H.Nawa
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 25 Pages: 383-402
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340034
[Journal Article] Self-focusing of LASER beam and nonlinear Schrodinger equations2010
- Author(s)
  名和範人
- Journal Title
  
  数理解析研究所講究録「現象解析と関数方程式の新望」
  
  Volume: 1702 Pages: 31-50
- Data Source
  KAKENHI-PROJECT-20340034
[Journal Article] Self-focusing of a LASER beam and nonlinear Schrodinger equations -An application of the Nelson diffusions-2010
- Author(s)
  H.Nawa
- Journal Title
  
  数理解析研究所講究録 (印刷中)
- Data Source
  KAKENHI-PROJECT-19654026
[Journal Article] Blowup and scattering for the focsing nonlinear Schrodinger equation with L^2-supercritical and H^1-subcritical power2010
- Author(s)
  T.Akahori, H.Nawa
- Journal Title
  
  数理解析研究所講究録 (印刷中)
- Data Source
  KAKENHI-PROJECT-19654026
[Journal Article] 非線形Schrodinger方程式の爆発解とNelson過程の道の幾何2005
- Author(s)
  名和範人
- Journal Title
  
  数理解析研究所講究録 1430
  
  Pages: 146-159
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340054
[Journal Article] 非線形SCHRODINGER方程式の爆発解とNELSON過程の道の幾何2005
- Author(s)
  名和範人
- Journal Title
  
  数理解析研究所講究録 1430
  
  Pages: 146-159
- Data Source
  KAKENHI-PROJECT-14340054
[Journal Article] Formation of singularities in solutions of the nonlinear Schrodinger equations and sample path properties of the corresponding Nelson diffusions2005
- Author(s)
  Hayato NAWA
- Journal Title
  
  RIMS Kokyuuroku 1430
  
  Pages: 146-159
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340054
[Journal Article] 非線形Schrodinger方程式の爆発解2003
- Author(s)
  名和範人
- Journal Title
  
  北海道大数学講究録「2003年度談話会・特別講演アブストラクト集 Colloquium Lectures」
  
  Pages: 21-38
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340054
[Journal Article] Blowup solutions of the nonlinear Schrodinger equations (HISENKEI Schrodinger HOUTEISIKI NO BAKUHATSUKAI, in Japanese)2003
- Author(s)
  Hayato NAWA
- Journal Title
  
  Hokkaido University Kokyuuroku "2003, Colloquium Lectures"
  
  Pages: 21-38
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340054
[Journal Article] 非線形Schrodinger方程式の爆発解とNelson過程の道の幾何
- Author(s)
  名和範人
- Journal Title
  
  数理解析研究所講究録 (印刷中)
- Data Source
  KAKENHI-PROJECT-14340054
[Presentation] 非線形シュレーディンガー方程式の重対数法則とブラウン運動の重複対数の法則2019
- Author(s)
  名和範人
- Organizer
  関西確率論セミナー
- Data Source
  KAKENHI-PROJECT-17H02859
[Presentation] 非線形シュレーディンガー方程式の重対数法則とブラウン運動の重複対数の法則2019
- Author(s)
  名和範人
- Organizer
  関西確率論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-15K13450
[Presentation] Nelson 拡散過程と非線形 Schroedinger 方程式2018
- Author(s)
  名和範人
- Organizer
  確率論シンポジウム
- Data Source
  KAKENHI-PROJECT-15K13450
[Presentation] 非線形 Schrodinger方程式とNelson拡散過程2018
- Author(s)
  名和範人
- Organizer
  平成30年度確率論シンポジウム
- Data Source
  KAKENHI-PROJECT-17H02859
[Presentation] A Mathematical Aspect of Turbulence2016
- Author(s)
  Hayato NAWA
- Organizer
  International Workshop on Theoretical Aspects of Near-Wall Turbulence Studies
- Place of Presentation
  関西セミナーハウス（京都市）
- Year and Date
  2016-06-29
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13450
[Presentation] 決定論的な系の中の確率論的な性質：二つの例( Stochastic nature in deterministic systems: two example )2016
- Author(s)
  名和範人
- Organizer
  International workshop on mathematical science for nonlinear phenomena
- Place of Presentation
  ホテルグランドテラス帯広
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13461
[Presentation] 非線形シュレーディンガー方程式とネルソン拡散過程2016
- Author(s)
  名和範人
- Organizer
  第３回　量子渦と非線形波動
- Place of Presentation
  東京理科大学
- Invited
- Data Source
  KAKENHI-PROJECT-15K13461
[Presentation] Existence and uniqueness of ground states of semilinear elliptic equations involving the critical　and super critical exponents in their nonlinearities2016
- Author(s)
  Hayato NAWA
- Organizer
  Geometry of solutions of PDE’s and its related inverse problems ― A conference in honor of Professor Shigeru Sakaguchi’s sixtieth birthday ―
- Place of Presentation
  東北大学（仙台市）
- Year and Date
  2016-10-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13450
[Presentation] 決定論的な系の中の確率論的な性質：二つの例（Stochastic nature in deterministic systems: two example）2016
- Author(s)
  Hayato NAWA
- Organizer
  International workshop on mathematical science for nonlinear phenomena In honor of Prof. Hisashi Okamoto on his 60th birthday
- Place of Presentation
  ホテルグランドテラス帯広（帯広市）
- Year and Date
  2016-09-30
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13450
[Presentation] Existence and uniqueness of ground states of semilinear elliptic equations involving the critical　and super critical exponents in their nonlinearities2016
- Author(s)
  名和範人
- Organizer
  Geometry of solutions of PDE’s and its related inverse problems
- Place of Presentation
  東北大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13461
[Presentation] 非線形シュレーディンガー方程式とネルソン拡散過程2016
- Author(s)
  名和範人
- Organizer
  第３回　量子渦と非線形波動
- Place of Presentation
  東京都　東京理科大学
- Year and Date
  2016-11-11
- Invited
- Data Source
  KAKENHI-PROJECT-15K13450
[Presentation] レーザービームの自己集束と非線形シュレーディンガー方程式2015
- Author(s)
  名和範人
- Organizer
  研究集会「パターン生成とダイナミクスの解構造の研究」
- Place of Presentation
  北海道大学
- Year and Date
  2015-06-26
- Invited
- Data Source
  KAKENHI-PROJECT-23340030
[Presentation] Nonlinear Schroedinger equations and Nelson diffusions2015
- Author(s)
  名和範人
- Organizer
  北陸応用数理研究会
- Place of Presentation
  金沢大学
- Year and Date
  2015-02-21
- Invited
- Data Source
  KAKENHI-PROJECT-23654052
[Presentation] 乱流場の統計力学：ひとつの試論2015
- Author(s)
  名和範人
- Organizer
  第４３回 HMMC（北海道数理モデリング倶楽部）セミナー
- Place of Presentation
  北海道大学
- Year and Date
  2015-06-24
- Invited
- Data Source
  KAKENHI-PROJECT-23340030
[Presentation] レーザービームの自己集束と非線形シュレーディンガー方程式2015
- Author(s)
  名和範人
- Organizer
  研究集会「パターン生成とダイナミクスの解構造の研究」
- Place of Presentation
  北海道大学
- Year and Date
  2015-06-26
- Invited
- Data Source
  KAKENHI-PROJECT-15K13450
[Presentation] レーザービームの自己集束と非線形シュレーディンガー方程式2015
- Author(s)
  名和範人
- Organizer
  パターン生成とダイナミクスの解構造の探求
- Place of Presentation
  北海道大学学術交流会館
- Year and Date
  2015-06-28
- Invited
- Data Source
  KAKENHI-PROJECT-15K13461
[Presentation] Nonlinear Schroedinger equations and Nelson diffusions2014
- Author(s)
  名和範人
- Organizer
  第５回「ハミルトン系のその周辺」研究集会
- Place of Presentation
  金沢大学
- Year and Date
  2014-05-29
- Invited
- Data Source
  KAKENHI-PROJECT-23654052
[Presentation] 乱流場の統計力学: ひとつの試論2014
- Author(s)
  名和範人
- Organizer
  日本流体力学会年会
- Place of Presentation
  東北大学
- Year and Date
  2014-09-16
- Data Source
  KAKENHI-PROJECT-23340030
[Presentation] Nelson拡散過程と非線形SchrOdinger方程式2011
- Author(s)
  名和範人
- Organizer
  偏微分方程式の背後にある確率課程と解の族が示す統計力学的な現象の解析
- Place of Presentation
  京都大学数理解析研究所(京都府)(招待講演)
- Year and Date
  2011-12-20
- Data Source
  KAKENHI-PROJECT-23340030
[Presentation] Nonlinear Schrodinger equations and geometry of corresponding Nelson diffusions2011
- Author(s)
  名和範人
- Organizer
  Probability and PDE 2011
- Place of Presentation
  広島大学
- Year and Date
  2011-01-11
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] 非線形 Schr\"odinger 方程式が記述する世界 - 変分構造，特異点，基底状態 -2011
- Author(s)
  名和範人
- Organizer
  研究集会「乱流現象及び非平衡系の多様性と普遍性」(招待講演)
- Place of Presentation
  九州大学応用力学研究所（福岡県）
- Data Source
  KAKENHI-PROJECT-23654052
[Presentation] Nelson 拡散過程と非線形Schr\"odinger方程式2011
- Author(s)
  名和範人
- Organizer
  RIMS 共同研究「偏微分方程式の背後にある確率過程と解の族が示す統計力学的な現象の解析」(招待講演)
- Place of Presentation
  京都大学数理解析研究所（京都府）
- Data Source
  KAKENHI-PROJECT-23654052
[Presentation] 非線形SchrOdinger方程式が記述する世界-変分構造,特異点,基底状態2011
- Author(s)
  名和範人
- Organizer
  乱流現象及び非平衡系の多様性と件遍性
- Place of Presentation
  九州大学応用力学研究所(福岡県)(招待講演)
- Year and Date
  2011-11-11
- Data Source
  KAKENHI-PROJECT-23340030
[Presentation] Nelson拡散過程と非線形Schrodinger方程式2011
- Author(s)
  名和範人
- Organizer
  RIMS共同研究「偏微分方程式の背後にある確率過程と解の族が示す統計力学的な現象の解析」
- Place of Presentation
  京都大学数理解析研究所(京都府)
- Year and Date
  2011-12-21
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] Nonlinear Schr\" odinger equations and geometry of corresponding Nelson diffusions2010
- Author(s)
  H.Nawa
- Organizer
  Workshop on Singularities Arising in Nonlinear Problems
- Place of Presentation
  関西セミナーハウス
- Year and Date
  2010-11-30
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] Nonlinear Schrodinger equations and relevant Nelson diffusions2010
- Author(s)
  名和範人
- Organizer
  4th Euro-Japan Workshop on Blow-up
- Place of Presentation
  Lorentz, Center, Netherland
- Year and Date
  2010-09-08
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] Instability of the ground state of the nonlinear Schrodinger equations2010
- Author(s)
  名和範人
- Organizer
  Model Equations in Bose-Einstein Condensation and Related Topics(SAKURA project)
- Place of Presentation
  京都大学
- Year and Date
  2010-12-07
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] Nonlinear Schrodinger equations and geometry of corresponding Nelson diffusions2010
- Author(s)
  名和範人
- Organizer
  Workshop on Singularities Arising in Nonlinear Problems(SNP)
- Place of Presentation
  京都府, 関西セミナーハウス
- Year and Date
  2010-11-30
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] Nonlinear Schrodinger equations and geometry of Nelson diffusions2009
- Author(s)
  名和範人
- Organizer
  Stochastic Problems and Nonlinear PDEs
- Place of Presentation
  京都大学理学部
- Year and Date
  2009-12-01
- Data Source
  KAKENHI-PROJECT-19654026
[Presentation] レーザービームの自己集束と非線形シュレーディンガー方程式2009
- Author(s)
  名和範人
- Organizer
  RIMS研究集会『現象解析と関数方程式の新展望』
- Place of Presentation
  京都大学理学部
- Year and Date
  2009-11-17
- Data Source
  KAKENHI-PROJECT-19654026
[Presentation] Nelson diffusions and log-log law for the pseudo-conformally invariant nonlinear Schroedinger equations2008
- Author(s)
  名和範人
- Organizer
  Stochastic Problems and Nonlinear PDEs
- Place of Presentation
  京都大学
- Year and Date
  2008-12-02
- Data Source
  KAKENHI-PROJECT-17340022
[Presentation] Asymptotic profiles and blowup rates for the L^2 critical Nonlinear Schrodinger equation2008
- Author(s)
  名和範人
- Organizer
  Third Euro-Japan Workshop on Blowup
- Place of Presentation
  東北大学
- Year and Date
  2008-09-11
- Data Source
  KAKENHI-PROJECT-19654026
[Presentation] 非線形シュレーディンガー方程式とレーザービームの自己集2008
- Author(s)
  名和範人
- Organizer
  非線形解析セミナー
- Place of Presentation
  慶応大学
- Year and Date
  2008-04-11
- Data Source
  KAKENHI-PROJECT-17340022
[Presentation] Asymptotic profiles and blowup rates for the L^2 critical nonlinear Schroedinger equation2008
- Author(s)
  名和範人
- Organizer
  Third Euro-Japan Workshop on Blow-up
- Place of Presentation
  東北大学
- Year and Date
  2008-09-11
- Data Source
  KAKENHI-PROJECT-17340022
[Presentation] Nonlinear Schroedinger equation with L^2 critical and H^1 subcritical power : blowup, scattering, instability of the ground state2008
- Author(s)
  名和範人
- Organizer
  埼玉大学解析ゼミ
- Place of Presentation
  埼玉大学
- Year and Date
  2008-11-07
- Data Source
  KAKENHI-PROJECT-17340022
[Presentation] Asymptotic profiles and blowup rates for the pseudo-conformally invariant nonlinear Schroedinger equations2008
- Author(s)
  名和範人
- Organizer
  広島応用解析セミナー
- Place of Presentation
  広島大学
- Year and Date
  2008-09-03
- Data Source
  KAKENHI-PROJECT-17340022
[Presentation] Asymptotic profiles and blowup rates for the $L^2$ critical no nlinear Schr\" odinger equation2008
- Author(s)
  H. Nawa
- Organizer
  The Third Euro-Japan Workshop on Blow-up
- Place of Presentation
  東北大学
- Year and Date
  2008-09-11
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] Nelson diffusi ons and loglog 1aw for the pseudo-Conformally invariant nonlinear Schrodinger equations2008
- Author(s)
  名和範人
- Organizer
  Stochast ic Problems and Nonli near PDEs
- Place of Presentation
  京都大学
- Year and Date
  2008-12-02
- Data Source
  KAKENHI-PROJECT-19654026
[Presentation] Some (possible) application of Nelson diffusions to nonlinear Schr\"odinger equations2007
- Author(s)
  名和範人
- Organizer
  Stochastic Problems and Nonlinear PDEs
- Place of Presentation
  京都大学
- Year and Date
  2007-12-04
- Data Source
  KAKENHI-PROJECT-19654026
[Presentation] 微分型シュレディンガー方程式の爆発解とプラズマ中のAlfven波の崩壊2007
- Author(s)
  名和範人
- Organizer
  第56回理論応用力学講演会
- Place of Presentation
  日本学術会議
- Year and Date
  2007-03-07
- Data Source
  KAKENHI-PROJECT-17340022
[Presentation] 非線形Schroedinger方程式の爆発解 : 漸近形と爆発の速さ2007
- Author(s)
  名和範人
- Organizer
  京都解析コロキウム
- Place of Presentation
  京都大学
- Year and Date
  2007-02-03
- Data Source
  KAKENHI-PROJECT-17340022
[Presentation] レーザービームの自己集束と非線形シュレーディンガー方程式2006
- Author(s)
  名和範人
- Organizer
  数学教室談話会
- Place of Presentation
  東北大学
- Year and Date
  2006-10-02
- Data Source
  KAKENHI-PROJECT-17340022
[Presentation] レーザービームの自己集束と非線形シュレーディンガー方程式-爆発解の漸近形と爆発の速さ-2006
- Author(s)
  名和範人
- Organizer
  六本松セミナー
- Place of Presentation
  九州大学
- Year and Date
  2006-12-08
- Data Source
  KAKENHI-PROJECT-17340022
[Presentation] レーザービームの自己集束と非線形シュレーディンガー方程式2006
- Author(s)
  名和範人
- Organizer
  数学応用数学コロキウム
- Place of Presentation
  早稲田大学
- Year and Date
  2006-05-19
- Data Source
  KAKENHI-PROJECT-17340022
[Presentation] BCS Hamiltonian in a Classical Context2006
- Author(s)
  名和範人
- Organizer
  解析セミナー
- Place of Presentation
  東京工業大学
- Year and Date
  2006-07-07
- Data Source
  KAKENHI-PROJECT-17340022
[Presentation] Asymptotic behavior and rate of blowup for solutions of the pseudo-conformally invariant nonlinear Schrodinger equation2005
- Author(s)
  H. Nawa
- Organizer
  The 5th East Asia PDE Conference
- Place of Presentation
  大阪大学
- Year and Date
  2005-02-01
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340047
[Presentation] Asymptotic behavior and rate of blowup for solutions of the pseudo' conformally invariant nonlinear Schrodinger equation2005
- Author(s)
  H., Nawa
- Organizer
  The 5th East Asia PDE Conference
- Place of Presentation
  Osaka University
- Year and Date
  2005-02-01
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340047
[Presentation] 乱流場の数理モデル
- Author(s)
  名和範人
- Organizer
  RIMS 共同研究「偏微分方程式の背後にある確率過程と解の族が示す統計力学的な現象の解析」
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-23340030
[Presentation] Nelson diffusions and nonlinear Schrodinger equations
- Author(s)
  H. Nawa
- Organizer
  UVic one day Seminar on DospersivePDEs
- Place of Presentation
  University of Victoria, Canada
- Invited
- Data Source
  KAKENHI-PROJECT-23654052
[Presentation] Toward a mathematical theory of turbulence
- Author(s)
  Hayato Nawa (名和範人)
- Organizer
  RIMS 研究集会「流体と気体の数学解析」
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-23340030
[Presentation] Nelson Diffusions and Nonlinear Schrodinger equations
- Author(s)
  Hayato Nawa (名和範人)
- Organizer
  Uvic one day seminar on Dispersive PDEs
- Place of Presentation
  University of Victoria（カナダ）
- Invited
- Data Source
  KAKENHI-PROJECT-23340030

1. NAITO Hisashi (40211411)

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2. AKAHORI Takahumi (90437187)

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3. KOZONO Hideo (00195728)

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7. ISHIGE Kazuhiro (90272020)

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10. HATTORI Tetsuya (10180902)

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11. TAKEDA Masayoshi (30179650)

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13. LIANG Song (60324399)

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15. MISAWA Masashi (40242672)

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16. TAKAHASHI Futoshi (10374901)

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17. NAITO Yuki (10231458)

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18. OHTSUKA Hiroshi (20342470)

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19. SUGIYAMA Yoshie (60308210)

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20. KOBAYASHI Takayuki (50272133)

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21. WATANABE Kazuo (90260851)

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22. SATO Tomohiko (50397676)

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23. YAGI Atsushi (70116119)

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24. SAITO Norikazu (00334706)

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25. SAKAJO Takashi (10303603)

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# of Collaborated Products: 1 results
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27. KIKUCHI Hiroaki (00612277)

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# of Collaborated Products: 7 results
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30. OSADA Hirofumi (20177207)

# of Collaborated Projects: 2 results

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31. OGAWA Toshiyuki (80211811)

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32. 伊藤秀一 (90159905)

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38. FURIHATA Daisuke (80242014)

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39. KUWATA Kazuhiro (10186489)

# of Collaborated Projects: 1 results

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40. TANAKA Mieko (00459728)

# of Collaborated Projects: 1 results

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41. YAMADA Yoshio (20111825)

# of Collaborated Projects: 1 results

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42. YOSHIDA Nobuo (40240303)

# of Collaborated Projects: 1 results

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43. FUKUIZUMI Reika (00374182)

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44. KIMURA Yoshifumi (70169944)

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# of Collaborated Projects: 1 results

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# of Collaborated Projects: 1 results

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48. NOGUCHI Junjiro (20033920)

# of Collaborated Projects: 1 results

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49. SATO Takeshi (60252219)

# of Collaborated Projects: 1 results

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50. OHSAWA Takeo (30115802)

# of Collaborated Projects: 1 results

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51. YANAGIDA Eiji (80174548)

# of Collaborated Projects: 1 results

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52. OGAWA Takayoshi (20224107)

# of Collaborated Projects: 1 results

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53. ODANAKA Shinji (20324858)

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# of Collaborated Projects: 1 results

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# of Collaborated Projects: 1 results

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75. TASAKI Sohei

# of Collaborated Projects: 1 results

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76. OHKITANI Koji

# of Collaborated Projects: 1 results

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77. IBRAHIM Slim

# of Collaborated Projects: 1 results

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78. IKOMA Norihisa

# of Collaborated Projects: 1 results

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79. RICCIARDI Tonia

# of Collaborated Projects: 1 results

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80. STEVENS Angela

# of Collaborated Projects: 1 results

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81. KAVALLARIS Nikos

# of Collaborated Projects: 1 results

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82. PAWLOW Irena

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83. CHAPLAIN Mark

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84. QUARANTA Vito

# of Collaborated Projects: 1 results

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85. CHAVANIS Pierre-henri

# of Collaborated Projects: 1 results

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86. Gadi Fibich

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88. FIBICH Gadi

# of Collaborated Projects: 1 results

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89. SULEM Catherine

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

NAWA Hayato 名和 範人

名和 範人 ナワ ハヤト

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Nonlinear Analysis and Stochastic Differential EquationsPrincipal Investigator

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Stochastic Processes and Statistical Phenomena behind Partial Differential EquaitonsPrincipal Investigator

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An investigation of the continuation problem for the nonlinear Schroedinger equations beyond the singularityPrincipal Investigator

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非線形シュレーディンガー方程式とネルソン拡散過程Principal Investigator

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Formation of Singulatiries in Solutions of Nonlinear Schrodinger Equations and Related FieldsPrincipal Investigator

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NAWA Hayato 名和範人

名和範人ナワハヤト