• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Nakanishi Kenji  中西 賢次

ORCIDConnect your ORCID iD *help
… Alternative Names

NAKANISHI Kenji  中西 賢次

中西 賢次  ナカニシ ケンジ

Less
Researcher Number 40322200
Other IDs
Affiliation (Current) 2020: 京都大学, 数理解析研究所, 教授
Affiliation (based on the past Project Information) *help 2017 – 2020: 京都大学, 数理解析研究所, 教授
2015 – 2017: 大阪大学, 情報科学研究科, 教授
2015: 大阪大学, 大学院情報科学研究科, 教授
2011 – 2014: 京都大学, 理学(系)研究科(研究院), 准教授
2012: 京都大学, 理学研究科, 准教授 … More
2007 – 2011: Kyoto University, 大学院・理学研究科, 准教授
2010: 京都大学, 理学研究科, 准教授
2008: Kyoto University, 理学研究科, 准教授
2006: Kyoto University, Dep.of Mathematics, Associate Prof., 大学院理学研究科, 助教授
2005: 京都大学, 大学院・理学研究科, 助教授
2003 – 2004: Nagoya Univ., Grad.School of Math., Asso.Prof., 大学院・多元数理科学研究科, 助教授
2001: 名古屋大学, 大学院・多元数理科学研究科, 助教授
2001: 神戸大, 理学部, 助手
2000: 神戸大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Basic analysis / Mathematical analysis / Basic analysis
Except Principal Investigator
Basic analysis / Global analysis / Mathematical analysis / Basic analysis / Basic Section 12020:Mathematical analysis-related
Keywords
Principal Investigator
散乱理論 / 非線形波動 / 漸近安定性 / 解の爆発 / ソリトン / 非線形Schrodinger方程式 / 非線形分散型方程式 / 特異極限 / 非線形エネルギー / 双線形評価 … More / 分散性 / 漸近解析 / 水面波 / 解の大域挙動 / 中心安定多様体 / 基底状態 / 非線形Klein-Gordon方程式 / 非相対論極限 / 一様大域評価 / Strichartz評価 / Lorentz空間 / Zakharov方程式 / 低エネルギー解 / 孤立波解 / 保存則 / エネルギー空間 / 時空評価 / 解の一意性 / プラズマ / 超流動 / 時空大域評価 / 関数方程式 / 関数解析 / 実解析 / 波の分散性 / 非線形共鳴 / 特異摂動 / 大域動力学 / 散乱 / 爆発 / ワンパス定理 / 初期値問題の適切性 / Trudmger-Moser不等式 / エネルギーの日数減衰 / 励起状態 / 非線形散乱理論 / 臨界指数 / 国際研究者交流:フランス / 非線形波動方程式 / 大域ダイナミクス / 爆発解 / 波動乱流 … More
Except Principal Investigator
初期値問題の適切性 / 初期値問題 / 非線形波動・分散型方程式 / 解の漸近挙動 / Lugiato-Lefever方程式 / 修正KdV方程式 / 適切性 / Besov空間 / 無条件一意性 / 非線形分散型方程式 / 定常解の分岐 / 非線形シュレディンガー方程式 / 非線形散乱理論 / Strichartz評価式 / null condition / 非相対論的極限 / 非圧縮流体の運動方程式 / 初期値境界値問題 / 安定性 / 漸近挙動 / 時空ノルム評価 / 特異極限 / 特異点 / 渦運動 / 平均曲率 / 指数 / 初期値問題の適切性・不適切性 / フーリエ制限法 / シュレディンガー写像方程式 / 調和写像の熱流 / 調和写像の安定性 / 解の無限振動 / 解の分岐 / 安定定常解 / 中心多様体縮約 / 函数方程式論 / 函数解析学 / 実関数論 / 数理物理学 / 非線形相互作用の構造 / 空洞ソリトン / 安定性・不安定性 / フーリエ制限ノルム / 超関数の積の評価式 / 斉次ベゾフ空間 / 負の指数のソボレフ空間 / スケール不変性 / 非圧縮性Navier-Stokes方程式 / 解の特異性と凝縮現象 / Keller-Segel方程式 / 解の時間大域挙動 / Gibbs測度 / Stokesドリフト / 大域挙動 / グローバル・アトラクター / 中心多様体 / 有限時間爆発 / 非線形発展方程式 / 計算機支援証明法 / 精度保証付き数値計算 / 爆発解 / Orlicz-Morrey空間 / 解の正則性・特異性 / 表面量直重力波方程式(米国) / 等温Falkモデル / Zakharov方程式 / Keller-Segel方程式(ドイツ) / 不変測度 / 不安定基底状態 / 解の大域挙動 / ストークス・ドリフト / 重力-表面張力水面波 / Beal-Kato-Majda型爆発判定条件 / 減衰項付きKlein-Gordon方程式 / Morawetz評価式 / エネルギー減衰評価式 / 指数安定性 / 一般化された分数べき積分作用素 / Morrey空間 / Morawetz型の評価式 / 最小爆発解論法 / 基底状態 / 大域的挙動 / 定常解の漸近安定性 / Dirac-Proca方程式 / Maxwell-Higgs方程式 / 時間大域存在 / 修正kdV方程式 / 弱解 / 周期境界条件 / 解の連続依存性 / フーリエ制限空間 / 振動積分 / 特異摂動 / 零条件(null condition) / 時間大域解 / 非線形波動方程式 / 解の正則性 / Dirac-Proca equations / Maxwell-Higgs equations / global existence in time / well-posedness / modified KdV equation / initial value problem / weak solution / 非線型波動方程式 / 非線型ディラック方程式 / 非線型クライン・ゴルドン方程式 / 非線型シュレディンガー方程式 / 散乱理論 / 非線型分散型偏微分方程式 / 非線型双曲型偏微分方程式 / 非線型散乱理論 / 非線型散乱問題 / nonlinear wave equations / nonlinear Dirac equations / nonlinear Klein-Gordon equations / nonlinear Schrodinger equations / scattering theory / 修正KdV / 長距離相互作用 / 非線形Schrodinger方程式 / Fourier制限ノルム法 / 解の無条件一意性 / 変形Benjamin-Ono方程式 / 非線形Klein-Gordon方程式 / 基底定在波解 / 強い意味での不安定性 / 漸近自由 / 定在波解 / 安定性と不安定性 / soliton-defect interaction / エネルギー空間 / Benjamin-Bona-Mahony方程式 / 孤立波解 / 漸近安定性 / 初期値に関する一様連続依存性 / 非線形Dirac方程式 / 初期層 / Well-posedness / Modified KdV / Nonlinear scattering theory / Long range interaction / Unconditional uniqueness / Nonlinear Schrodinger equations / Fourier restriction norm method / Besov spaces / 点渦 / ボルツマン・ポアソン方程式 / 爆発機構の量子化 / 循環的階層 / 非局所項 / 平均場理論 / 準平衡 / 緩和方程式 / 非線形解析学 / 非平衡統計力学 / 量子渦 / 量子化する爆発機構 / モース指数 / 緩和時間 / 分散型方程式 / 非線形波動 / 解析学 / 非線形分散型 / 関数方程式論 / 適切生 / 走化性方程式系 / 爆発現象 / Keller-Segel系 Less
  • Research Projects

    (16 results)
  • Research Products

    (140 results)
  • Co-Researchers

    (41 People)
  •  Blowup phenomena in chemotaxis systemOngoing

    • Principal Investigator
      溝口 紀子
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Tokyo Gakugei University
  •  非線形波動方程式の大域ダイナミクスPrincipal InvestigatorOngoing

    • Principal Investigator
      中西 賢次
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Mathematical analysis
    • Research Institution
      Kyoto University
      Osaka University
  •  Transient order weaved by vortex

    • Principal Investigator
      Suzuki Takashi
    • Project Period (FY)
      2015 – 2016
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Mathematical analysis
    • Research Institution
      Osaka University
  •  Global dynamics of nonlinear dispersive equationsPrincipal Investigator

    • Principal Investigator
      Nakanishi Kenji
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Mathematical analysis
    • Research Institution
      Osaka University
      Kyoto University
  •  An investigation of symmetries in the geometric structure and existence of global solutions to nonlinear dispersive wave equations

    • Principal Investigator
      Takaoka Hideo
    • Project Period (FY)
      2013 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Mathematical analysis
    • Research Institution
      Kobe University
      Hokkaido University
  •  Concentration Phenomena and Structure of Solution for Nonlinear Evolution Equations

    • Principal Investigator
      Tsutsumi Yoshio
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  非線形波動・分散型方程式の幾何学的対称性と弱解の構造

    • Principal Investigator
      堤 誉志雄
    • Project Period (FY)
      2011
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Global analysis of dispersion and resonance of nonlinear wavesPrincipal Investigator

    • Principal Investigator
      NAKANISHI Kenji
    • Project Period (FY)
      2009 – 2012
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Relations between properties of solutions and geometric symmetry of solutions for nonlinear wave and dispersive equations

    • Principal Investigator
      TSUTSUMI Yoshio
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Global dispersion of nonlinear wavesPrincipal Investigator

    • Principal Investigator
      NAKANISHI Kenji
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  非線形波動方程式の対称性と解の大域構造Principal Investigator

    • Principal Investigator
      中西 賢次
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
      Nagoya University
  •  Structure of Solutions and Geometric Symmetry for Nonlinear Evolution Equations

    • Principal Investigator
      TSUTSUMI Yoshio
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
      Tohoku University
  •  GEOMETRY AND ANALYSIS FOR WAVE FIELDS

    • Principal Investigator
      OZAWA Tohru
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Global analysis
    • Research Institution
      Hokkaido University
  •  非線形波動方程式のエネルギー集約評価と時空大域的解析Principal Investigator

    • Principal Investigator
      中西 賢次
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Basic analysis
    • Research Institution
      Kobe University
  •  非圧縮流体の運動方程式に対する実解析的研究

    • Principal Investigator
      宮川 鉄朗
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Global analysis
    • Research Institution
      Kobe University
  •  Geometric invariant, propagation of singularity and asymptotic behavior for nonlinear wave equations

    • Principal Investigator
      TSUTSUMI Yoshio
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University

All 2018 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2002 Other

All Journal Article Presentation Book

  • [Book] Invariant Manifolds and Dispersive Hamiltonian Evolution Equations2011

    • Author(s)
      Kenji Nakanishi and Wilhelm Schlag
    • Total Pages
      253
    • Publisher
      European Mathematical Society
    • Data Source
      KAKENHI-PROJECT-23224003
  • [Book] Invariant manifolds and dispersive Hamiltonian evolution equations2011

    • Author(s)
      Kenji Nakanishi, Wilhelm Schlag
    • Total Pages
      253
    • Publisher
      European Mathematical Society
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Book] Invariant manifolds and dispersiveHamiltonian evolution equations2011

    • Author(s)
      Kenji Nakanishi, Wilhelm Schlag
    • Total Pages
      253
    • Publisher
      European Mathematical Society
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Scattering for the 3D Gross-Pitaevskii Equation2018

    • Author(s)
      Zihua Guo, Zaher Hani, Kenji Nakanishi
    • Journal Title

      Communications in Mathematical Physics

      Volume: 359 Pages: 265-296

    • DOI

      10.1007/s00220-017-3050-3

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02854
  • [Journal Article] On the boundary Strichartz estimates for wave and Schrodinger equations2018

    • Author(s)
      Zihua Guo, Ji Li, Kenji Nakanishi and Lixin Yan
    • Journal Title

      Journal of Differential Equations

      Volume: 265 Pages: 5656-5675

    • DOI

      10.1016/j.jde.2018.07.010

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02854
  • [Journal Article] Codimension One Threshold Manifold for the Critical gKdV Equation2016

    • Author(s)
      Yvan Martel , Frank Merle, Kenji Nakanishi, Pierre Raphael (最後のeはトレマが付く)
    • Journal Title

      Communications in Mathematical Physics

      Volume: 342 Pages: 1075-1106

    • DOI

      10.1007/s00220-015-2509-3

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Journal Article] Global dynamics above the ground state for the energy-critical Schrodinger equation with radial date2016

    • Author(s)
      Kenji Nakanishi and Tristan Roy
    • Journal Title

      Commun. Pure Appl. Anal

      Volume: 15 Pages: 2023-2058

    • DOI

      10.3934/cpaa.2016026

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400159, KAKENHI-PROJECT-15K13448
  • [Journal Article] Well-posedness and scattering for the Zakharov system in four dimensions2015

    • Author(s)
      Ioan Bejenaru, Zihua Guo, Sebastian Herr and Kenji Nakanishi
    • Journal Title

      Analysis & PDE

      Volume: 8 Pages: 2029-2055

    • DOI

      10.2140/apde.2015.8.2029

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Journal Article] Well-posedness and scattering for the Zakharov system in four dimensions2015

    • Author(s)
      I. Begenaru, Z. Guo, S. Herr and K. Nakanishi
    • Journal Title

      Anal. PDE

      Volume: 8 Pages: 2029-2055

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23224003
  • [Journal Article] Sharp Global Regularity for the 2 + 1-Dimensional Equivariant Faddeev Model2015

    • Author(s)
      Dan-Andrei Geba, Kenji Nakanishi and Xiang Zhang
    • Journal Title

      International Mathematical Research Notices

      Volume: 2015 Pages: 1-17

    • DOI

      10.1093/imrn/rnv037

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Journal Article] Finite-Time Blowup for the Inviscid Primitive Equations of Oceanic and Atmospheric Dynamics2015

    • Author(s)
      Chongsheng Cao, Slim Ibrahim, Kenji Nakanishi, Edriss S. Titi
    • Journal Title

      Communications in Mathematical Physics

      Volume: 337 Pages: 473-482

    • DOI

      10.1007/s00220-015-2365-1

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Journal Article] Center-stable manifold of the ground state in the energy space for the critical wave equation2015

    • Author(s)
      Joachim Krieger, Kenji Nakanishi, Wilhelm Schlag
    • Journal Title

      Math. Ann.

      Volume: 361 Pages: 1-50

    • DOI

      10.1007/s00208-014-1059-x

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400159, KAKENHI-PROJECT-23224003
  • [Journal Article] Trudinger–Moser inequality on the whole plane with the exact growth condition2015

    • Author(s)
      Slim Ibrahim, Nader Masmoudi and Kenji Nakanishi
    • Journal Title

      Journal of the European Mathematical Society

      Volume: 17 Pages: 819-835

    • DOI

      10.4171/jems/519

    • NAID

      120005666188

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Journal Article] Threshold solutions in the case of mass-shift for the critical Klein-Gordon equation2014

    • Author(s)
      Slim Ibrahim, Nader Masmoudi and Kenji Nakanishi
    • Journal Title

      Transactions of the AMS

      Volume: 366 Pages: 5653-5669

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Journal Article] Threshold Phenomenon for the Quintic Wave Equation in Three Dimensions2014

    • Author(s)
      Joachim Krieger, Wilhelm Schlag and Kenji Nakanishi
    • Journal Title

      Comm. Math. Phys.

      Volume: 327 Pages: 309-332

    • DOI

      10.1007/s00220-014-1900-9

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Journal Article] Generalized Strichartz Estimates and Scattering for 3D Zakharov System2014

    • Author(s)
      Z.-H. Guo, S.-H. Lee, K. Nakanishi and C.-B. Wang
    • Journal Title

      Communications in Mathematical Physics

      Volume: 331 Pages: 239-259

    • DOI

      10.1007/s00220-014-2006-0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224003, KAKENHI-PROJECT-25400159
  • [Journal Article] Global dynamics below the ground state energy for the Klein-Gordon-Zakharov system in the 3D radial case2014

    • Author(s)
      Zihua Guo, Kenji Nakanishi and Shuxia Wang
    • Journal Title

      Communications in Partial Differential Equations

      Volume: 39 Pages: 1158-1184

    • DOI

      10.1080/03605302.2013.836715

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Journal Article] Multifrequency NLS scaling for a model equation of gravity-capillary waves2013

    • Author(s)
      Nader Masmoudi and Kenji Nakanishi
    • Journal Title

      Comm. Pure Appl. Math.

      Volume: 66 Pages: 1202-1240

    • DOI

      10.1002/cpa.21464

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Journal Article] Global dynamics of the nonradial energy-critical wave equation above the ground state energy2013

    • Author(s)
      Joachim Krieger, Kenji Nakanishi,Wilhelm Schlag
    • Journal Title

      Discrete Contin. Dyn. Syst.

      Volume: 33 Pages: 2423-2450

    • DOI

      10.3934/dcds.2013.33.2423

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Global dynamics below the ground state energy for the Zakharov system in the 3D radial case.2013

    • Author(s)
      Zihua Guo, Kenji Nakanishi, ShuxiaWang
    • Journal Title

      Adv. Math.

      Volume: 238 Pages: 412-441

    • DOI

      10.1016/j.aim.2013.02.008

    • NAID

      120005244246

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Multifrequency NLS scalinf for a model equation of gravity-capillary waves2013

    • Author(s)
      N. Masmoudi and K. Nakanishi
    • Journal Title

      Comm. Pure Appl. Math.

      Volume: 66 Pages: 1202-1240

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224003
  • [Journal Article] Small energy scattering for the Zakharov system with radial symmetry2013

    • Author(s)
      Zihua Guo, Kenji Nakanishi
    • Journal Title

      Int Math Res Notices

      Volume: 未定

    • DOI

      10.1093/imrn/rns296

    • NAID

      120005651928

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Invariant Manifolds Around SolitonManifolds for the NonlinearKlein-Gordon Equation2012

    • Author(s)
      Kenji Nakanishi, Wilhelm Schlag
    • Journal Title

      SIAM J. Math.Anal

      Volume: 44 Pages: 1175-1210

    • DOI

      10.1137/11082720x

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Global dynamics above the ground state energy for the one-dimensional NLG equation2012

    • Author(s)
      Joachim Krieger, Kenji Nakanishi, Wilhelm Schlag
    • Journal Title

      Math. Z.

      Volume: 272 Pages: 297-316

    • DOI

      10.1007/s00209-011-0934-3

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095, KAKENHI-PROJECT-23224003
  • [Journal Article] Scattering for the two-dimensional NLS with exponential nonlinearity2012

    • Author(s)
      S. Ibrahim, M. Majdoub, N. Masmoudi and K. Nakanishi
    • Journal Title

      Nonlinearity

      Volume: 25 Pages: 1843-1849

    • DOI

      10.1088/0951-7715/25/6/1843

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224003
  • [Journal Article] Globaldynamics above the ground stateenergy for the cubic NLS equation in3D2012

    • Author(s)
      K.Nakanishi, W.Schlag
    • Journal Title

      Calculus of variations andPartial differential equations

      Volume: 44 Pages: 1-45

    • DOI

      10.1007/s00526-011-0424-9

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Global Dynamics Above the Ground State for the Nonlinear Klein-Gordon Equation Without a Radial Assumption2012

    • Author(s)
      K.Nakanishi, W.Schlag
    • Journal Title

      Archivefor rational mechanics and analysis

      Volume: 203 Pages: 809-851

    • DOI

      10.1007/s00205-011-0462-7

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Global dynamics above the ground state energy for the foucusing nonlinear Klein-Gordon equation2011

    • Author(s)
      K.Nakanishi, W.Schlag
    • Journal Title

      J.Differential Equations

      Volume: 132(5) Pages: 229-233

    • DOI

      10.1016/j.jde.2010.10.027

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23244012
  • [Journal Article] Scattering threshold for the focusing nonlinear Klein-Gordon equation2011

    • Author(s)
      Slim Ibrahim, Nader Masmoudi, KenjiNakanishi
    • Journal Title

      Analysis & PDE

      Volume: 4 Pages: 405-460

    • DOI

      10.2140/apde.2011.4.405

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Exponential energy decay for damped Klein-Gordon equation with nonlinearities of arbitrary growth2011

    • Author(s)
      L. Aloui, S. Ibrahim and K. Nakanishi
    • Journal Title

      Comm. Partial Differential Equations

      Volume: 36 Pages: 797-818

    • DOI

      10.1080/03605302.2010.534684

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224003
  • [Journal Article] Local well-posedness in low regularity of the mKdV equation with periodic boundary condition2010

    • Author(s)
      K. Nakanishi, H. Takaoka, Y. Tsutsumi
    • Journal Title

      Disr. Cont. Dynam. Syst. (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204012
  • [Journal Article] From the Klein-Gordon-Zakharovsystem to a singular nonlinear2010

    • Author(s)
      Nader Masmoudi, Kenji Nakanishi
    • Journal Title

      Schrodinger system

      Volume: 27 Pages: 1073-1096

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Local well-posedness in lowregularity of the mKdV equation withperiodic boundary condition2010

    • Author(s)
      Kenji Nakanishi, Hideo Takaoka, YoshioTsutsumi
    • Journal Title

      Discrete and continuous dynamicalsystems

      Volume: 28 Pages: 1635-1654

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] From the Klein-Gordon-Zakharov system to a singular nonlinear Schrodinger system2010

    • Author(s)
      Nader Masmoudi, Kenji Nakanishi
    • Journal Title

      Annales de l'Institut Henri Poincare Non Linear Analysis

      Volume: 27 Pages: 1073-1096

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Exponential energy decay for damped Klein-Gordon equation with nonlinearities of arbitrary growth2010

    • Author(s)
      Lassad Aloui, Slim Ibrahim, Kenji Nakanishi
    • Journal Title

      Communications in Partial Differential Equations

      Volume: 36 Pages: 797-818

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Exponential energy decay fordamped Klein-Gordon equation withnonlinearities of arbitrary growth2010

    • Author(s)
      Lassad Aloui, Slim Ibrahim, KenjiNakanishi
    • Journal Title

      Communications in Partial DifferentialEquations

      Volume: 36 Pages: 797-818

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Well-posedness for nonlinear Dirac equations in one dimension2010

    • Author(s)
      Shuji Machihara, Kenji Nakanishi, Kotaro Tsugawa
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: 50 Pages: 403-451

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Asymptotic stability, concentration, and oscillation in harmonic mapheat-flow, Landau-Lifshitz, and Schrodinger maps on R ^ 22010

    • Author(s)
      Stephen Gustafson, Kenji Nakanishi, Tai-Peng Tsai
    • Journal Title

      Communications in Mathematical Physics

      Volume: 300 Pages: 205-242

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Local well-posedness in low regularity of the mKdV equation with periodic boundary condition2010

    • Author(s)
      K.Nakanishi, H.Takaoka, Y.Tsutsumi
    • Journal Title

      Discr. Cont, Dynam. Syst. (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204012
  • [Journal Article] Local well-posedness in low regularity of the mKdV equation with periodic boundary condition2010

    • Author(s)
      K. Nakanishi, H. Takaoka and Y. Tsutsumi
    • Journal Title

      Discr. Cont. Dynam. Syst

      Volume: 28 Pages: 1635-1654

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204012
  • [Journal Article] Local well-posedness in low regularity of the mKdV equation with periodic boundary condition2010

    • Author(s)
      Kenji Nakanishi, Hideo Takaoka, Yoshio Tsutsumi
    • Journal Title

      Discrete and continuous dynamical systems

      Volume: 28 Pages: 1635-1654

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Asymptotic stability, concentration, and oscillation in harmonic map Heat-flow, Landau-Lifshitz, and Schrodinger maps on$ R^2$2010

    • Author(s)
      S. Gustafson, K. Nakanishi and T.-P. Tsai
    • Journal Title

      Comm. Math. Phys

      Volume: 300 Pages: 205-242

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204012
  • [Journal Article] Asymptotic stability, concentration, and oscillation in harmonic map Heat-flow, Landau-Lifshitz, and Schrodinger maps on $R^2$2010

    • Author(s)
      S.Gustafson, K.Nakanishi, T.-P.Tsai
    • Journal Title

      Comm.Math.Phys.

      Volume: 300 Pages: 205-242

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204012
  • [Journal Article] Asymptotic stability,concentration, and oscillation inharmonic map heat-flow,Landau-Lifshitz, and Schrodinger maps on R^22010

    • Author(s)
      Stephen Gustafson, Kenji Nakanishi,Tai-Peng Tsai
    • Journal Title

      Communications inMathematical Physics

      Volume: 300 Pages: 205-242

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Global dynamics above the ground stateenergy for the focusing nonlinearKlein-Gordon equation2010

    • Author(s)
      Kenji Nakanishi, Wilhelm Schlag
    • Journal Title

      Journal ofDifferential Equations

      Volume: 250 Pages: 2299-2333

    • NAID

      120002770950

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Global dynamics above the ground state energy for the focusing nonlinear Klein-Gordon equation2010

    • Author(s)
      Kenji Nakanishi, Wilhelm Schlag
    • Journal Title

      Journal of Differential Equations

      Volume: 250 Pages: 2299-2333

    • NAID

      120002770950

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Two asymptotic problems for a singular nonlinear Schrodinger system2010

    • Author(s)
      Nader Masmoudi, Kenji Nakanishi
    • Journal Title

      American Journal of Mathematics

      Volume: 132 Pages: 1311-1336

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Well-posedness fornonlinear Dirac equations in onedimension2010

    • Author(s)
      Shuji Machihara, Kenji Nakanishi,Kotaro Tsugawa
    • Journal Title

      Kyoto Journal ofMathematics

      Volume: 50 Pages: 403-451

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Twoasymptotic problems for a singularnonlinear Schrodinger system2010

    • Author(s)
      Nader Masmoudi, Kenji Nakanishi
    • Journal Title

      American Journal of Mathematics

      Volume: 132 Pages: 1311-1336

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Scattering theory forthe Gross-Pitaevskii equation in threedimensions2009

    • Author(s)
      Stephen Gustafson, Kenji Nakanishi andTai-Peng Tsai
    • Journal Title

      Commun. Contemp. Math

      Volume: 11 Pages: 657-707

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Scattering for the two-dimensionalenergy-critical wave equation2009

    • Author(s)
      Slim Ibrahim, Mohamed Majdoub, NaderMasmoudi, and Kenji Nakanishi
    • Journal Title

      DukeMath. J

      Volume: 150 Pages: 287-329

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Uniqueness of Solutions for Zakharov System2009

    • Author(s)
      Nader Masmoudi, Kenji Nakanishi
    • Journal Title

      Funkcialaj Ekvacioj 52

      Pages: 233-253

    • NAID

      130000140521

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Scattering theory for the Gross-Pitaevskii equation in three dimensions2009

    • Author(s)
      Stephen Gustafson, Kenji Nakanishi, Tai-Peng Tsai
    • Journal Title

      Commun.Contemp.Math. 11

      Pages: 657-707

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Scattering for the two-dimensional energy-critical wave equation2009

    • Author(s)
      S. Ibrahim, M. Mohamed, N. Masmoudi, K. Nakanishi
    • Journal Title

      Duke Math. J. 150

      Pages: 287-329

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204012
  • [Journal Article] Uniqueness of Solutions for ZakharovSystem2009

    • Author(s)
      Nader Masmoudi and Kenji Nakanishi
    • Journal Title

      Funkcialaj Ekvacioj

      Volume: 52 Pages: 233-253

    • NAID

      130000140521

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Journal Article] Scattering for the two-dimensional energy-critical wave equation2009

    • Author(s)
      S. Ibrahim, M. Mohamed, N. Masmoude and K. Nakanishi
    • Journal Title

      Duke Math. J.

      Volume: 150 Pages: 287-329

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204012
  • [Journal Article] Scattering for the two-dimensional energy-critical wave equation2009

    • Author(s)
      S.Ibrahim, M.Mohamed, N.Masmoudi, K.Nakanishi
    • Journal Title

      Duke Math. J. 150

      Pages: 287-329

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204012
  • [Journal Article] Energy scattering for singular limits of Zakharov type systems2008

    • Author(s)
      Nader Masmoudi, Kenji Nakanishi
    • Journal Title

      Inventiones Mathematicae (2008年掲載予定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Journal Article] Energy convergence for singular limits of Zakharov type systems2008

    • Author(s)
      Nader Masmoudi and Kenji Nakanishi
    • Journal Title

      Invent. Math. 172, no.3

      Pages: 535-583

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Journal Article] Energy convergence for singular limits of Zakharov type systems2008

    • Author(s)
      Nader Masmoudi and Kenji Nakanishi
    • Journal Title

      Invent Math 172

      Pages: 535-583

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Journal Article] Transfer of global wellposedness from nonlinear Klein-Gordon equation to nonlinear Schrodinger equation2008

    • Author(s)
      Kenji Nakanishi
    • Journal Title

      Hokkaido Math. J. 37, no.4

      Pages: 749-771

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Journal Article] Large time decay and scattering for wave maps.2008

    • Author(s)
      Joachim Krieger and Kenji Nakanishi
    • Journal Title

      Dyn. Partial Differ. Equ. 5, no.1

      Pages: 1-37

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Journal Article] Large time decay and scattering for wave maps2008

    • Author(s)
      Joachim Krieger and Kenji Nakanishi
    • Journal Title

      Dyn. Partial Differ. Equ. 5

      Pages: 1-37

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Journal Article] Transfer of global wellposedness from nonlinear Klein-Gordon equation to nonlinear Schrodinger equation2008

    • Author(s)
      Kenji Nakanishi
    • Journal Title

      Hokkaido Math. J. 37

      Pages: 749-771

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Journal Article] Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions.2007

    • Author(s)
      Stephen Gustafson, Kenji Nakanishi and Tai-Peng Tsai
    • Journal Title

      Ann. Henri Poincare 8, no.7

      Pages: 1303-1331

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Journal Article] Global dispersive solutions of the Gross-Pitaevskii equation in two and three dimensions2007

    • Author(s)
      S. Gustafson, K. Nakanishi and T.-P. Tsai
    • Journal Title

      Ann. Henri Poincare

      Volume: 8 Pages: 1303-1331

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204012
  • [Journal Article] Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions2007

    • Author(s)
      S. Gustafson, K. Nakanishi and T.-P. Tsai
    • Journal Title

      Ann. Henri Poincare 8

      Pages: 1303-1331

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204012
  • [Journal Article] Spectra of linearized operators for NLS solitary waves2007

    • Author(s)
      Shu-Ming Chang, Stephen Gustafson, Kenji Nakanishi, 〓
    • Journal Title

      SIAM Journal of Mathematical Analysis 39

      Pages: 1070-1111

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Journal Article] Spectra of linearized operators for NLS solitary waves2007

    • Author(s)
      Shu-Ming Chang, Stephen Gustafson, Kenji Nakanishi and Tai-Peng Tsai
    • Journal Title

      SIAM J. Math. Anal. 39, no.4

      Pages: 1070-1111

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Journal Article] Scattering for the Gross-Pitaevskii equation2006

    • Author(s)
      Stephen Gustafson, Kenji Nakanishi, Tai-Peng Tsai
    • Journal Title

      Mathematical Research Letters 13,no.2

      Pages: 273-285

    • Data Source
      KAKENHI-PROJECT-15740086
  • [Journal Article] Scattering for the Gross-Pitaevskii equation2006

    • Author(s)
      S.Gustafson, K.Nakanishi, T.Tsai
    • Journal Title

      Math. Res. Lett. 13・2-3

      Pages: 273-285

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15204008
  • [Journal Article] Scattering for the Gross-Pitaevskii equation2006

    • Author(s)
      S.Gustafson, K.Nakanishi, T.Tsai
    • Journal Title

      Math.Res.Lett. 13-2&3

      Pages: 273-285

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15204008
  • [Journal Article] From the Klein-Gordon-Zkharov system to the nonlinear Schrodinger equation2005

    • Author(s)
      Nader Masmoud1, Kenji Nakanishi
    • Journal Title

      Journal of Hyperbolic Differential Equations 2,no.4

      Pages: 975-1008

    • Data Source
      KAKENHI-PROJECT-15740086
  • [Journal Article] Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation2005

    • Author(s)
      Shuji Machihara, Makoto Nakamura, Kenji Nakanishi, Tohru Ozawa
    • Journal Title

      Journal of Functional Analysis 219・1

      Pages: 1-20

    • NAID

      120006456908

    • Data Source
      KAKENHI-PROJECT-15740086
  • [Journal Article] Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation2005

    • Author(s)
      S.Machihara, S.Nakamura, T.Ozawa, K.Nakanishi
    • Journal Title

      J.Funct.Anal. 219(1)

      Pages: 1-20

    • NAID

      120006456908

    • Data Source
      KAKENHI-PROJECT-15204008
  • [Journal Article] Asymptotic stability and completeness in the energy space for nonlinear Schrodinger2004

    • Author(s)
      S.Gustafson, K.Nakanishi, T.-P.Tsai
    • Journal Title

      Int.Math.Res.Not. 2004(66)

      Pages: 3559-3584

    • Data Source
      KAKENHI-PROJECT-15204008
  • [Journal Article] Asymptotic stability and completeness in the energy space for nonlinear schrodinger equations with small solitary waves2004

    • Author(s)
      Stephen Gustafson, Kenji Nakanishi, Tai-Peng Tsai
    • Journal Title

      International Mathematics Research Notices 66

      Pages: 3559-3584

    • Data Source
      KAKENHI-PROJECT-15740086
  • [Journal Article] From nonlinear Klein-Gordon equation to a system of coupled nonlinear Schrodinger equations2002

    • Author(s)
      K.Nakanishi
    • Journal Title

      Mathematische Annalen 324

      Pages: 359-389

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13304011
  • [Journal Article] Uniqueness of solutions for Zakharov systems

    • Author(s)
      Nader Masmoudi and Kenji Nakanishi
    • Journal Title

      Funkcial. Ekvac. (掲載決定)

    • NAID

      130000140521

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Journal Article] Scattering for the 2D energy critical wave equation

    • Author(s)
      Slim Ibrahim, Mohamed Majdoub, Nader Masmoudi and Kenji Nakanishi
    • Journal Title

      Duke Math. J. (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Journal Article] Scattering theory for the Gross-Pitaevskii equation in three dimensions

    • Author(s)
      Stephen Gustafson, Kenji Nakanishi and Tai-Peng Tsai
    • Journal Title

      Commun. Contemp. Math. (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Presentation] Wellposedness and scattering for the Zakharov system in four dimensions2016

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Nonlinear Waves 2016
    • Place of Presentation
      Institut des Hautes Etudes Scientifiques(フランス)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K13448
  • [Presentation] Global dynamics of the nonlinear Schrodinger equation with a potential2016

    • Author(s)
      K. Nakanishi
    • Organizer
      Workship 'Singularity Formation and Long Time Behavior in Dispersive PDEs'
    • Place of Presentation
      ボン(ドイツ)
    • Year and Date
      2016-03-14
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23224003
  • [Presentation] Maximizers of a Trudinger-Moser-type inequality with the critical growth on the whole plane2016

    • Author(s)
      Kenji Nakanishi
    • Organizer
      偏微分方程式の解の形状解析
    • Place of Presentation
      数理解析研究所(京都府・京都市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K13448
  • [Presentation] Scattering for the Gross-Pitaevskii equation in the 3D radial energy space2016

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Second Workshop on Evolution Equations in Valdivia
    • Place of Presentation
      Universidad Austral de Chile (チリ・Valdivia
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Presentation] Global dynamics of the nonlinear Schrodinger equation with a potential2016

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Singularity formation and long-time behavior in dispersive PDEs
    • Place of Presentation
      University of Bonn (ドイツ・ボン)
    • Year and Date
      2016-03-15
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Presentation] Wellposedness and scattering for the Zakharov system in four dimensions2016

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Nonlinear Waves 2016
    • Place of Presentation
      Institut des Hautes Etudes Scientifiques (フランス・Bures-sur-Yvette)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Presentation] Scattering for the Gross-Pitaevskii equation in the 3D radial energy space2016

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Second Workshop on Evolution Equations in Valdivia
    • Place of Presentation
      Universidad Austral de Chile(チリ)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K13448
  • [Presentation] Maximizers of a Trudinger-Moser-type inequality with the critical growth on the whole plane2016

    • Author(s)
      Kenji Nakanishi
    • Organizer
      偏微分方程式の 解の形状解析
    • Place of Presentation
      数理解析研究所(京都)
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Presentation] Global dynamics of nonlinear dispersive equations2015

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Introductory Workshop: Randomness and long time dynamics in nonlinear evolution differential equations
    • Place of Presentation
      Mathematical Sciences Research Institute (アメリカ・バークレイ)
    • Year and Date
      2015-08-27
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Presentation] Global dynamics beyond the first excited state of the nonlinear Schrodinger equation with a potential2015

    • Author(s)
      Kenji Nakanishi
    • Organizer
      2015 Annual Meeting of the Taiwan Mathematical Society
    • Place of Presentation
      National University of Kaohsiung (台湾・高雄)
    • Year and Date
      2015-12-20
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Presentation] Scattering and wellposedness for the Zakharov system in 4D2015

    • Author(s)
      Kenji Nakanishi
    • Organizer
      International Conference of Harmonic Analysis and Applications
    • Place of Presentation
      Central China Normal University (中国・武漢)
    • Year and Date
      2015-05-24
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Presentation] Scattering for the Gross-Pitaevskii equation in the energy space2015

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Fundamental Problems in Mathematical and Theoretical Physics
    • Place of Presentation
      早稲田大学 (東京都新宿区)
    • Year and Date
      2015-10-03
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Presentation] Multi-frequency NLS approximation for a water wave model equation2014

    • Author(s)
      中西賢次
    • Organizer
      第31回九州における偏微分方程式研究集会
    • Place of Presentation
      福岡大学メディカルホール
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Presentation] Multi-frequency NLS approximation for a water wave model equation2014

    • Author(s)
      K. Nakanishi
    • Organizer
      第31回九州における偏微分方程式研究集会
    • Place of Presentation
      福岡大学メディカルホール
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224003
  • [Presentation] Multi-frequency NLS approximation for a water wave model equation2014

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Kyoto University-Chung-Ang University Symposium On Nonlinear Partial Differential equations
    • Place of Presentation
      高山市民文化会館
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Presentation] Global dynamics of nonlinear dispersive equations above the ground state energy2014

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Differential Geometry-Mathematical Physics-PDE seminar
    • Place of Presentation
      University of British Columbia
    • Year and Date
      2014-11-04
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Presentation] Threshold manifold of global dynamics for the critical wave equation2013

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Nonlinear Waves and Dispersive Equations
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Presentation] Global dynamics of the3D Zakharov system2012

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Nonlinear PDE's @IMPA
    • Place of Presentation
      Instituto Naciaonal deMatematica Pura e Aplicada (ブラジル)
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Presentation] Global dynamics of the3D Zakharov system2012

    • Author(s)
      Kenji Nakanishi
    • Organizer
      NonlinearHamiltonian PDEs
    • Place of Presentation
      Centro StefanoFranscini (スイス)
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Presentation] Global dynamics of the 3D Zakharov system2012

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Nonlinear PDE's @ IMPA
    • Place of Presentation
      Instituto Naciaonal de Matematica Pura e Aplicada (ブラジル)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Presentation] Global dynamicsbeyond the ground state energy fornonlinear dispersive equations2012

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Journees EDP 2012
    • Place of Presentation
      Domaine de Francon(フランス)
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Presentation] Global dynamics of nonlinear dispersive equations2012

    • Author(s)
      Kenji Nakanishi
    • Organizer
      MSJ-KMS Joint Meeting 2012
    • Place of Presentation
      九州大学
    • Year and Date
      2012-09-17
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Presentation] Global dynamics beyond the ground state energy for nonlinear dispersive equations2012

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Journees EDP 2012
    • Place of Presentation
      Domaine de Francon (フランス)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Presentation] Scattering for the Zakharov system in the energy spaces2012

    • Author(s)
      中西 賢次
    • Organizer
      非線形分散型方程式における最近の進展
    • Place of Presentation
      京都大学数理解析研究所,京都
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224003
  • [Presentation] Global dynamics of the 3D Zakharov system2012

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Nonlinear Hamiltonian PDEs
    • Place of Presentation
      Centro Stefano Franscini (スイス)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Presentation] Global dynamics above the unstable ground state for nonlinear dispersive equations2011

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Asymptotic dynamics driven by solitons and trvaling fronts in nonlinear PDE
    • Place of Presentation
      Santiago, Chile(招待講演)
    • Year and Date
      2011-07-15
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Presentation] Global dynamicsabove the unstable ground state fornonlinear dispersive equations2011

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Asymptotic dynamics driven bysolitons and trvaling fronts innonlinear PDE
    • Place of Presentation
      Santiago(チリ)
    • Year and Date
      2011-07-15
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Presentation] Global dynamicsbeyond the ground energy for thefocusing nonlinear Klein-Gordonequation2011

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Global dynamicsbeyond the ground energy for thefocusing nonlinear Klein-Gordonequation
    • Place of Presentation
      National Cheng Kung University(台湾)
    • Year and Date
      2011-01-15
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Presentation] ソリトンの中心安定多様体2011

    • Author(s)
      中西 賢次
    • Organizer
      非線形双曲型および分散型方程式の研究
    • Place of Presentation
      京都大学数理解析研究所,京都
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224003
  • [Presentation] Global dynamics beyond the ground energy for the focusing nonlinear Klein-Gordon equation2011

    • Author(s)
      Kenji Nakanishi
    • Organizer
      The 19th Workshop on Differential Equations and Its Applications
    • Place of Presentation
      National Cheng Kung University台湾(招待講演)
    • Year and Date
      2011-01-15
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Presentation] Global dynamics beyond the ground state energy for nonlinear Klein-Gordon equation2010

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Harmonic analysis and PDE
    • Place of Presentation
      Seoul National University大韓民国(招待講演)
    • Year and Date
      2010-08-18
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Presentation] Global dynamicsbeyond the ground state energy fornonlinear Klein-Gordon equationGlobal dynamicsbeyond the ground state energy fornonlinear Klein-Gordon equation2010

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Harmonic analysis and PDE
    • Place of Presentation
      Seoul NationalUniversity(韓国)
    • Year and Date
      2010-08-18
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Presentation] Asymptotic stability and pulsation of harmonic maps for the Landau-Lifshitz-Gilbert equation2009

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Nonlinear Wave and Dispersive Equations
    • Place of Presentation
      京都大学
    • Year and Date
      2009-01-26
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Presentation] Exponential decayfor damped semilinear wave equationin the critical and the supercriticalcases2009

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Nonlinear waves anddispersion
    • Place of Presentation
      Institut Henri Poincare (フランス)
    • Year and Date
      2009-04-27
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Presentation] Scatteringthreshold for the focusing nonlinearKlein-Gordon equation2009

    • Author(s)
      Kenji Nakanishi
    • Organizer
      International Workshop onDifferential Equations and TheirApplications
    • Place of Presentation
      Tainan(台湾)
    • Year and Date
      2009-12-19
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Presentation] Scattering threshold for the focusing nonlinear Klein-Gordon equation2009

    • Author(s)
      Kenji Nakanishi
    • Organizer
      International Workshop on Differential Equations and Their Applications
    • Place of Presentation
      Tainan, Taiwan
    • Year and Date
      2009-12-19
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Presentation] Scattering and blow-up for nonlinear Klein-Gordon equations2009

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Nagoya Workshop on Differential Equations
    • Place of Presentation
      名古屋大学
    • Year and Date
      2009-02-03
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Presentation] Exponential decay for damped semilinear wave equation in the critical and the supercritical cases2009

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Nonlinear waves and dispersion
    • Place of Presentation
      Institut Henri Poincare, Paris
    • Year and Date
      2009-04-27
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Presentation] Asymptoticstability and eternal oscillation ofharmonic maps in Schrodinger and heatflows2009

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Nonlinear dispersive andgeometric evolution problems:singularities and asymptotics
    • Place of Presentation
      UBC(カナダ)
    • Year and Date
      2009-08-17
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Presentation] Asymptotic stability and eternal oscillation of harmonic maps in Schrodinger and heat flows.2009

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Nonlinear dispersive and geometric evolution problems : singularities and asymptotics
    • Place of Presentation
      UBC, Vancouver
    • Year and Date
      2009-08-17
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Presentation] Asymptotic stability and eternal oscillation of harmonic maps in Schrodinger and heat flows2009

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Nonlinear Partial Differential Equations
    • Place of Presentation
      Zhangjiajie, China
    • Year and Date
      2009-08-10
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Presentation] Asymptoticstability and eternal oscillation ofharmonic maps in Schrodinger and heatflows2009

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Nonlinear PartialDifferential Equations
    • Place of Presentation
      Zhangjiajie(中国)
    • Year and Date
      2009-08-10
    • Data Source
      KAKENHI-PROJECT-21740095
  • [Presentation] Scattering for the 3D Gross-Pitaevskii equation2008

    • Author(s)
      Kenji Nakanishi
    • Organizer
      The Gross-Pitaevskii equation and related topics
    • Place of Presentation
      Porquerolles
    • Year and Date
      2008-10-16
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Presentation] Asymptotic dynamics for nonlinear Schrodinger equations, I, II2008

    • Author(s)
      中西賢次
    • Organizer
      微分方程式の総合的研究
    • Place of Presentation
      京都大学
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Presentation] Uniqueness of weak solutions for Zakharov-type systems2008

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Young Asian Conference on Partial Differential Equations
    • Place of Presentation
      Postech, 韓国
    • Year and Date
      2008-01-28
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Presentation] Scattering for the Gross-Pitaevskii equation in three dimensions2008

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Conference on Partial Differential Equaionts and Applications
    • Place of Presentation
      Hammamet, チュニジア
    • Year and Date
      2008-03-28
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Presentation] Scattering for the 3D Gross-Pitaevskii equation2008

    • Author(s)
      Kenji Nakanishi
    • Organizer
      The Gross-Pitaevskii equation and related topics
    • Place of Presentation
      Porquerolles, フランス.
    • Year and Date
      2008-10-16
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Presentation] Asymptotic stability of plane waves for the nonlinear Schrodinger equation2008

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Linear and Nonlinear Waves, No.6
    • Place of Presentation
      ピアザ近江
    • Year and Date
      2008-12-09
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Presentation] Scattering for the Gross-Pitaevskii equation2007

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Nonlinear Waves and Dispersive Equations
    • Place of Presentation
      Oberwolfach, ドイツ
    • Year and Date
      2007-09-09
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Presentation] Scattering theory for the nonlinear Klein-Gordon equations in the Sobolev critical case in two dimensions2007

    • Author(s)
      中西賢次
    • Organizer
      Non-linear hyperbolic equations and related topics
    • Place of Presentation
      Sucuola Normale Superiore (Pisa)
    • Year and Date
      2007-09-07
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Presentation] Scattering theory for the nonlinear Klein-Gordon equations in the Sobolev critical case in two dimensions2007

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Non-linear hyperbolic equations and related topics
    • Place of Presentation
      Centro De Giorgi, イタリア
    • Year and Date
      2007-09-07
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Presentation] 非線形分散波動の漸近解析2007

    • Author(s)
      中西賢次
    • Organizer
      日本数学会年会(総合講演)
    • Place of Presentation
      埼玉大学
    • Year and Date
      2007-03-28
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Presentation] Global dispersive solutions for the Gross-Pitaevskii equation in two spatial dimensions2006

    • Author(s)
      Kenji Nakanishi
    • Organizer
      The Gross-Pitaevskii and related equations with non-zero boundary conditions at infinity
    • Place of Presentation
      Wolfgang Pauli Institute, オーストリア
    • Year and Date
      2006-06-14
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Presentation] Energy convergence in various singular limits of the Zakharov system2006

    • Author(s)
      中西賢次
    • Organizer
      Linear and Nonlinear Waves, No.4
    • Place of Presentation
      大阪大学
    • Year and Date
      2006-11-06
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Presentation] Global dispersive solutions for the Gross-Pitaevskii equation2006

    • Author(s)
      Kenji Nakanishi
    • Organizer
      AIMS' Sixth International Conference on Dynamical Sytems, Differential Equations and Applications
    • Place of Presentation
      Poitiers, フランス
    • Year and Date
      2006-06-25
    • Data Source
      KAKENHI-PROJECT-18740072
  • [Presentation] Classification of global dynamics for nonlinear dispersive equations

    • Author(s)
      Kenji Nakanishi
    • Organizer
      JAMI seminar
    • Place of Presentation
      Johns Hopkins University
    • Year and Date
      2015-02-06 – 2015-02-20
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Presentation] ポテンシャル付き非線形シュレディンガー方程式の大域ダイナミクス

    • Author(s)
      中西賢次
    • Organizer
      第4回弘前非線形方程式研究会
    • Place of Presentation
      弘前大学創立50周年記念会館、弘前
    • Year and Date
      2014-12-05 – 2014-12-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224003
  • [Presentation] Multi-frequency NLS limit for a model equation of water wave

    • Author(s)
      Kenji Nakanishi
    • Organizer
      Harmonic Analysis and Partial Differential Equations, closing workshop
    • Place of Presentation
      University of Bonn
    • Year and Date
      2014-08-04 – 2014-08-08
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400159
  • [Presentation] Threshold manifold for global dynamics of the critical wave equation

    • Author(s)
      Kenji Nakanishi
    • Organizer
      SEMINAIRE GEOMETRIE, EDP ET PHYSIQUE MATHEMATIQUE
    • Place of Presentation
      Universite de Cergy-Pontois
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400159
  • 1.  TSUTSUMI Yoshio (10180027)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 3 results
  • 2.  TAKAOKA Hideo (10322794)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 3 results
  • 3.  OHTA Masahito (00291394)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 4.  KOKUBU Hiroshi (50202057)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 5.  TSUGAWA Kotaro (70402451)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  OKAJI Takashi (20160426)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  SHIGEKAWA Ichiro (00127234)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  Sawano Yoshihiro (40532635)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  Mizoguchi Noriko (00251570)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  KOZONO Hideo (00195728)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  MIZUMACHI Tetsu (60315827)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  高木 泉 (40154744)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  NISHIWADA Kimimasa (60093291)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  Okamoto Hisashi (40143359)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  Kishimoto Nobu (90610072)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  Maeda Masaya (40615001)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  Kato Takamori (50620639)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  Miyaji Tomoyuki (20613342)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  Sasaki Youhei (70583459)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  ARISAWA Mariko (50312632)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  NAGASAWA Takeyuki (70202223)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  OZAWA Tohru (70204196)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  NAKAMURA Gen (50118535)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  HAYASHI Nakao (30173016)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  Suzuki Takashi (40114516)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  KUBO Hideo (50283346)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  宮川 鉄朗 (10033929)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  ROSSMAN Wayne (50284485)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  利根川 吉廣 (80296748)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  井川 満 (80028191)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  坪田 誠 (10197759)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  水谷 治哉 (10614985)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  眞崎 聡 (20580492)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  高田 了 (50713236)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  Schlag Wilhelm
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 2 results
  • 36.  Krieger Joachim
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 2 results
  • 37.  Gustafson Stephen
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  Tsai Tai-Peng
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  Masmoudi Nader
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 3 results
  • 40.  Ibrahim Slim
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 3 results
  • 41.  Guo Zihua
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 3 results

URL: 

Are you sure that you want to connect your ORCID iD to this researcher?
* This action can be performed only by the researcher themselves.

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi