Nakanishi Kenji 中西賢次

… Alternative Names

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
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 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

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

[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

Nakanishi Kenji 中西 賢次

NAKANISHI Kenji 中西 賢次

中西 賢次 ナカニシ ケンジ

Research Projects

Research Products

Co-Researchers

Blowup phenomena in chemotaxis systemOngoing

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非線形波動方程式の大域ダイナミクスPrincipal InvestigatorOngoing

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Global dynamics of nonlinear dispersive equationsPrincipal Investigator

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Global analysis of dispersion and resonance of nonlinear wavesPrincipal Investigator

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Global dispersion of nonlinear wavesPrincipal Investigator

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非線形波動方程式の対称性と解の大域構造Principal Investigator

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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

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Nakanishi Kenji 中西賢次

NAKANISHI Kenji 中西賢次

中西賢次ナカニシケンジ