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Takaoka Hideo  高岡 秀夫

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TAKAOKA Hideo  高岡 秀夫

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Researcher Number 10322794
Other IDs
Affiliation (Current) 2025: 神戸大学, 理学研究科, 教授
Affiliation (based on the past Project Information) *help 2025: 神戸大学, 理学研究科, 教授
2017 – 2023: 神戸大学, 理学研究科, 教授
2017: 神戸大学, 理学(系)研究科(研究院), 准教授
2012 – 2016: 北海道大学, 理学(系)研究科(研究院), 教授
2015: 北海道大学, 大学院理学研究院, 教授 … More
2008 – 2012: Hokkaido University, 大学院・理学研究院, 教授
2010: 北海道大学, 理学研究科, 教授
2010: 神戸大学, 大学院・理学研究科, 准教授
2008 – 2009: 北海道大学, 理学研究院, 教授
2008: Hokkaido University, 大学院理学研究院, 教授
2007: Kobe University, 理学研究科, 准教授
2006: Kobe University, Dep.of Mathematics, Associate Prof., 理学部, 助教授
2004: 神戸大, 理学部, 助教授
2002 – 2003: 神戸大学, 理学部, 助教授
2001: 北海道大学, 大学院・理学研究科, 助手 Less
Review Section/Research Field
Principal Investigator
Basic analysis / Basic Section 12020:Mathematical analysis-related / Mathematical analysis / Basic analysis
Except Principal Investigator
Basic analysis / Global analysis
Keywords
Principal Investigator
適切性 / 初期値問題 / 非線形分散型方程式 / 適切生 / 解析学 / 分散型方程式 / 非線形波動 / 非線形分散型 / 分散型 / 非線形 … More / 無限円柱領域 / 大域挙動 / 関数方程式論 / 非線形分散型方程 / 大域存在 / 関数解析 / 関数方程式 … More
Except Principal Investigator
初期値問題の適切性 / 非線形散乱理論 / 非相対論的極限 / 適切性 / 散乱理論 / 非線形シュレディンガー方程式 / 修正KdV方程式 / 定常解の分岐 / Lugiato-Lefever方程式 / 解の漸近挙動 / 無条件一意性 / 非線形波動・分散型方程式 / Morrey空間 / 一般化された分数べき積分作用素 / 指数安定性 / エネルギー減衰評価式 / Morawetz評価式 / 減衰項付きKlein-Gordon方程式 / Beal-Kato-Majda型爆発判定条件 / 重力-表面張力水面波 / ストークス・ドリフト / 解の大域挙動 / 不安定基底状態 / 不変測度 / Keller-Segel方程式(ドイツ) / Zakharov方程式 / 等温Falkモデル / 表面量直重力波方程式(米国) / 解の正則性・特異性 / Orlicz-Morrey空間 / 爆発解 / 精度保証付き数値計算 / 計算機支援証明法 / Strichartz評価式 / 非線形発展方程式 / 有限時間爆発 / 中心多様体 / グローバル・アトラクター / 大域挙動 / Stokesドリフト / Gibbs測度 / 解の時間大域挙動 / Keller-Segel方程式 / 解の特異性と凝縮現象 / 非圧縮性Navier-Stokes方程式 / Besov spaces / Fourier restriction norm method / Nonlinear Schrodinger equations / Unconditional uniqueness / Long range interaction / Nonlinear scattering theory / Modified KdV / Well-posedness / 初期層 / 非線形Dirac方程式 / 初期値に関する一様連続依存性 / 漸近安定性 / 孤立波解 / Benjamin-Bona-Mahony方程式 / エネルギー空間 / soliton-defect interaction / 安定性と不安定性 / 定在波解 / 漸近自由 / 強い意味での不安定性 / 基底定在波解 / 非線形Klein-Gordon方程式 / 変形Benjamin-Ono方程式 / 解の無条件一意性 / Besov空間 / Fourier制限ノルム法 / 非線形Schrodinger方程式 / 長距離相互作用 / 修正KdV / scattering theory / nonlinear Schrodinger equations / nonlinear Klein-Gordon equations / nonlinear Dirac equations / nonlinear wave equations / 非線型散乱問題 / 非線型散乱理論 / 非線型双曲型偏微分方程式 / 非線型分散型偏微分方程式 / 非線型シュレディンガー方程式 / 非線型クライン・ゴルドン方程式 / 非線型ディラック方程式 / 非線型波動方程式 / 電荷輸送モデル / 電荷移動モデル / 逆問題 / 波動作用素 / 時間大域的適切性 / 電磁場 / 漸近完全性 / スペクトル理論 / 多体問題 / スケール不変性 / 負の指数のソボレフ空間 / 斉次ベゾフ空間 / 超関数の積の評価式 / フーリエ制限ノルム / 安定性・不安定性 / 空洞ソリトン / 非線形相互作用の構造 / 非線形分散型方程式 / 数理物理学 / 実関数論 / 函数解析学 / 函数方程式論 / 中心多様体縮約 / 安定定常解 / 解の分岐 / 解の無限振動 / 調和写像の安定性 / 調和写像の熱流 / シュレディンガー写像方程式 / フーリエ制限法 / 初期値問題の適切性・不適切性 Less
  • Research Projects

    (12 results)
  • Research Products

    (101 results)
  • Co-Researchers

    (26 People)
  •  非線形分散型方程式の対称性と弱解の構造Principal Investigator

    • Principal Investigator
      高岡 秀夫
    • Project Period (FY)
      2025 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Kobe University
  •  Research on global analysis and concentration energy for nonlinear dispersive equationsPrincipal Investigator

    • Principal Investigator
      Takaoka Hideo
    • Project Period (FY)
      2018 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Kobe University
  •  An investigation of symmetries in the geometric structure and existence of global solutions to nonlinear dispersive wave equationsPrincipal Investigator

    • 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
  •  An Investigation of symmetries and structure of solutions for nonlinear dispersive equationPrincipal Investigator

    • Principal Investigator
      TAKAOKA Hideo
    • Project Period (FY)
      2009 – 2012
    • Research Category
      Grant-in-Aid for Young Scientists (A)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
  •  Scattering theory for linear and nonlinear Schrodinger equations

    • Principal Investigator
      ADACHI Tadayoshi
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kobe 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
  •  Investigation of symmetries and structure of solutions for nonlinear dispersive equationPrincipal Investigator

    • Principal Investigator
      TAKAOKA Hideo
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
      Kobe University
  •  非線形分散型方程式の初期値問題の適切性および大域挙動に関する解析的研究Principal Investigator

    • Principal Investigator
      高岡 秀夫
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kobe 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
  •  非線形分散型方程式の初期値問題の可解性とその解の性質についてPrincipal Investigator

    • Principal Investigator
      高岡 秀夫
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kobe University
      Hokkaido 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

All 2024 2023 2022 2021 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2004

All Journal Article Presentation

  • [Journal Article] On the growth of Sobolev norm for the cubic NLS on two dimensional product space2024

    • Author(s)
      Takaoka Hideo
    • Journal Title

      Journal of Differential Equations

      Volume: 394 Pages: 296-319

    • DOI

      10.1016/j.jde.2024.03.016

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18H01129
  • [Journal Article] Global well-posedness for Cauchy problems of Zakharov-Kuznetsov equations on cylindrical spaces2024

    • Author(s)
      Osawa Satoshi、Takaoka Hideo
    • Journal Title

      Electronic Journal of Differential Equations

      Volume: 2024 Issue: 01-?? Pages: 05-05

    • DOI

      10.58997/ejde.2024.05

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18H01129
  • [Journal Article] Remarks on blow-up criteria for the derivative nonlinear Schr?dinger equation under the optimal threshold setting2021

    • Author(s)
      Takaoka Hideo
    • Journal Title

      Journal of Differential Equations

      Volume: 291 Pages: 90-109

    • DOI

      10.1016/j.jde.2021.05.003

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18H01129
  • [Journal Article] Energy transfer model and large periodic boundary value problem for the quintic NLS2018

    • Author(s)
      Hideo Takaoka
    • Journal Title

      数理解析研究所講究緑

      Volume: 2093 Pages: 94-103

    • Data Source
      KAKENHI-PROJECT-18H01129
  • [Journal Article] Energy transfer model for the derivative nonlinear Schr?dinger equations on the torus2017

    • Author(s)
      Takaoka Hideo
    • Journal Title

      Discrete and continuous dynamical systems

      Volume: 37 Issue: 11 Pages: 5819-5841

    • DOI

      10.3934/dcds.2017253

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25287022
  • [Journal Article] A priori estimates and weak solutions for the derivative nonlinear Schrodinger equation on torus below H1/22016

    • Author(s)
      Hideo Takaoka
    • Journal Title

      J. Differential Equations

      Volume: 260 Issue: 4 Pages: 818-859

    • DOI

      10.1080/03605302.2015.1123274

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-25287022
  • [Journal Article] Local well-posedness of the nonlinear Schrodinger equations on the sphere for data in modulation spaces2016

    • Author(s)
      Hideo Takaoka
    • Journal Title

      Communications in Partial Differential Equations

      Volume: 41 Pages: 732-747

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-25287022
  • [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

      Discrete Contin. Dyn. Syst.

      Volume: 28 Pages: 1635-1654

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Journal Article] Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrodinger equation2010

    • Author(s)
      J. Colliander, M. Keel, G. Staffilani, H .Takaoka,T.Tao
    • Journal Title

      Invent. Math

      Volume: 181 Pages: 39-113

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21684003
  • [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

      Discrete Contin.Dyn.Syst.

      Volume: 28 Pages: 1635-1654

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Journal Article] Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrodinger equation2010

    • Author(s)
      J.Colliander, M.Keel, G.Staffilani, H.Takaoka, T.Tao
    • Journal Title

      Inventiones Mathematicae 181

      Pages: 39-113

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540169
  • [Journal Article] Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrodinger equation2010

    • Author(s)
      J.Colliander, M.Keel, G.Staffilani, H.Takaoka, T.Tao
    • Journal Title

      Inventiones Mathematicae

      Volume: 181 Pages: 39-113

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540169
  • [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)
      K.Nakanishi, H.Takaoka, Y.Tsutsumi
    • Journal Title

      Discrete and Continuous Dynamical Systems. Series A 28

      Pages: 1635-1654

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540169
  • [Journal Article] Transfer of energy to high frequencies in the cubic defocusing nonlinear Schr\"{o}dinger equation2010

    • Author(s)
      J.Colliander, M.Keel, G.Staffilani, H.Takaoka, T.Tao
    • Journal Title

      Invent.Math.

      Volume: 181 Pages: 39-113

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21684003
  • [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] Local well-posedness in low regularity of the mKdV equation with periodic boundary condition2010

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

      Discrete and Continuous Dynamical Systems. Series A

      Volume: 28 Pages: 1635-1654

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540169
  • [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] Unique local existence of solution in low regularity space of the Cauchy problem for the mKdV equation with periodic boundary condition2009

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

      Seminaire: Equations aux Derivees Partielles

      Volume: 2007-2008 Pages: 7-7

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Journal Article] Stability in H1/2 of the sum of K solitons for the Benjamin-Ono equation2009

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

      J. of Math. Phys 50

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740074
  • [Journal Article] Stability in H^<1/2> of the sum of K solitons for the Benjamin-Ono equation2009

    • Author(s)
      S.Gustafson, H.Takaoka, T.-P.Tsai
    • Journal Title

      Journal of Mathematical Physics 50

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540169
  • [Journal Article] Stability in H1/2 of the sum of K solitons for the Benjamin-Ono equation2009

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

      J. Math. Phys.

      Volume: 50 Pages: 14-14

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Journal Article] Unique local existence of solution in low regularity space of the Cauchy problem for the mKdV equation with periodic boundary condition2009

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

      Seminaire : Equations aux Derivees Partielles, 2007-2008 17

      Pages: 7-7

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Journal Article] Stability in H^<1/2> of the sum of K solitons for the Benjamin-Ono equation2009

    • Author(s)
      S.Gustafson, H.Takaoka, T.-P.Tsai
    • Journal Title

      J.Math.Phys. 50

      Pages: 14-14

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Journal Article] Bilinear Strichartz estimates and applications to the cubic nonlinear Schrodinger equation in two space dimensions2008

    • Author(s)
      H. Takaoka
    • Journal Title

      Hokkaido Math. J. 37

      Pages: 861-870

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740074
  • [Journal Article] Bilinear Strichartz estimates and applications to the cubic nonlinear Schrodinger equation in two space dimensions2008

    • Author(s)
      H.Takaoka
    • Journal Title

      Hokkaido Mathematical Journal 37

      Pages: 861-870

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540169
  • [Journal Article] Global well-posedness and scattering for the energy-critical nonlinear Schrodinger equation in R^32008

    • Author(s)
      J. Colliander, M. Keel, G. Staffilani, H. Takaoka and T. Tao
    • Journal Title

      Ann of Math 167

      Pages: 767-865

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740074
  • [Journal Article] Resonant decompositions and the I-method for the cubic nonlinear Schrodinger equation on R2 Discrete Contin2008

    • Author(s)
      J. Colliander, M. Keel, G. Staffilani, H. Takaoka and T. Tao
    • Journal Title

      Dyn. Syst 21

      Pages: 665-686

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740074
  • [Journal Article] Global well-posedness and scattering for the energy-critical nonlinear Schrodinger equation in R^32008

    • Author(s)
      H. Takaoka
    • Journal Title

      Ann. of Math 167

      Pages: 767-865

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740074
  • [Journal Article] Resonant decompositions and the I-method for the cubic nonlinear Schrodinger eauation on R^22008

    • Author(s)
      H. Takaoka
    • Journal Title

      Discrete Contin. Dyn. Syst 21

      Pages: 665-686

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740074
  • [Journal Article] Global well-posedness and scattering for the energy-critical nonlinear Schrodinger equation in R^32008

    • Author(s)
      J.Colliander, M.Keel, G.Staffilani, H.Takaoka, T.Tao
    • Journal Title

      Annales of Mathematics. Second Series 167

      Pages: 767-865

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540169
  • [Journal Article] Bilinear Strichartz estimates and applications to the cubic nonlinear Schrodinger equation in two space dimensions2008

    • Author(s)
      H. Takaoka
    • Journal Title

      Hokkaido Math. J. 37

      Pages: 861-870

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540169
  • [Journal Article] Bilinear Strichartz estimates and applications to the cubic nonlinear Schrodinger equation in two space dimensions2008

    • Author(s)
      H. Takaoka
    • Journal Title

      Hokkaido Math. J 37

      Pages: 861-870

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740074
  • [Journal Article] Resonant decompositions and the I-method for the cubic nonlinear Schrodinger equation on R^22008

    • Author(s)
      J.Colliander, M.Keel, G.Staffilani, H.Takaoka, T.Tao
    • Journal Title

      Discrete and Continuous Dynamical Systems. Series A 21

      Pages: 665-686

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540169
  • [Journal Article] Global analysis of nonlinear dispersive-type wave equations2008

    • Author(s)
      H. Takaoka
    • Journal Title

      Sugaku 60

      Pages: 337-351

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740074
  • [Journal Article] Resonant decompositions and the I-method for the cubic nonlinear Schrodinger equation on R^22008

    • Author(s)
      J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao
    • Journal Title

      Discrete Contin. Dyn. Syst. 21

      Pages: 665-686

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540169
  • [Journal Article] Global well-posedness and scattering for the energy-critical nonlinear Schrodinger equation in R^32008

    • Author(s)
      J. Colliander, M. Keel, G Staffilani, H. Takaoka, T. Tao
    • Journal Title

      Ann. of Math. 167

      Pages: 767-865

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540169
  • [Journal Article] The energy-critical nonlinear Schrodinger equation in R3 Contemp2007

    • Author(s)
      J. Colliander, M. Keel, G. Staffilani, H. Takaoka and T. Tao
    • Journal Title

      Math 439

      Pages: 69-80

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740074
  • [Journal Article] The energy-critical nonlinear Schrodinger equation in R^32007

    • Author(s)
      高岡 秀夫
    • Journal Title

      Contemp. Math. 439

      Pages: 69-80

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740074
  • [Journal Article] Global wellposedness of the modified Benjamin-Ono equation with initial data in H^<1/2>2006

    • Author(s)
      H.Takaoka
    • Journal Title

      Int. Math. Res. Not. ID 95702

      Pages: 44-44

    • Data Source
      KAKENHI-PROJECT-18740074
  • [Journal Article] Global wellposedness of the modified Benjamin-Ono equation with initial data in H1/22006

    • Author(s)
      C. E. Kenig and H. Takaoka
    • Journal Title

      Int. Math. Res. Not ID95702

      Pages: 44-44

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740074
  • [Journal Article] Well-posedness of the Cauchy problem for the modified KdV equation with periodic boundary condition2004

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

      Int.Math.Res.Not. 2004(56)

      Pages: 3009-3040

    • Data Source
      KAKENHI-PROJECT-15204008
  • [Journal Article] Well-posedness of the Cauchy problem for the modified KdV equation with periodic boundary condition2004

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

      Int. Math. Res. Not. 2004・56

      Pages: 3009-3040

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15204008
  • [Journal Article] Well-posedness of the Cauchy problem for the modified KdV equation with periodic boundary condition2004

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

      Int.Math.Res.Not. 2004-56

      Pages: 3009-3040

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15204008
  • [Presentation] Bilinear Strichartz estimates for dispersive equations on the torus2023

    • Author(s)
      Hideo Takaoka
    • Organizer
      Geometric Analysis in Har- monic Analysis and PDE
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18H01129
  • [Presentation] Bilinear Strichartz estimates for the KdV equation2022

    • Author(s)
      Hideo Takaoka
    • Organizer
      Mathematical Analysis of Nonlinear Dis- persive and Wave Equations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18H01129
  • [Presentation] Energy cascades for resonant nonlinear Schrodinger equations2019

    • Author(s)
      高岡秀夫
    • Organizer
      神楽坂解析セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-18H01129
  • [Presentation] Energy cascades for resonant nonlinear Schrodinger equations2019

    • Author(s)
      Hideo Takaoka
    • Organizer
      Nonlinear Dispersive Equations in Kumamoto, 2019
    • Invited
    • Data Source
      KAKENHI-PROJECT-18H01129
  • [Presentation] Energy cascades for resonant nonlinear Schrodinger equations2019

    • Author(s)
      Hideo Takaoka
    • Organizer
      九州関数方程式セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-18H01129
  • [Presentation] 非線形シュレディンガー方程式の非線形共鳴とエネルギー転移構造2018

    • Author(s)
      高岡秀夫
    • Organizer
      第4回量子渦と非線形波動
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287022
  • [Presentation] Energy transfer model for the resonant 1D quintic NLS2018

    • Author(s)
      Hideo Takaoka
    • Organizer
      IRTG Workshop 2018
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287022
  • [Presentation] Energy transfer model and large periodic boundary value problem for the quintic NLS2017

    • Author(s)
      Hideo Takaoka
    • Organizer
      Nonlinear Wave and Dispersive Equations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287022
  • [Presentation] Energy transfer for the resonant 1D quintic NLS with large periodic boundary condition2017

    • Author(s)
      高岡秀夫
    • Organizer
      神戸大学解析セミナー
    • Data Source
      KAKENHI-PROJECT-25287022
  • [Presentation] Energy transfer model and large periodic boundary value problem for the quintic NLS2017

    • Author(s)
      Hideo Takaoka
    • Organizer
      The 15th Linear and Nonlinear Waves
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287022
  • [Presentation] Energy transfer model and large periodic boundary value problem for the quintic NLS2017

    • Author(s)
      高岡秀夫
    • Organizer
      Okayama Workshop on Partial Differential Equations
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287022
  • [Presentation] Energy transfer model for the resonant nonlinear Schr\"odinger equations2017

    • Author(s)
      Hideo Takaoka
    • Organizer
      Workshop on linear and nonlinear dispersive equations and related topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287022
  • [Presentation] Energy transfer for the resonant derivative nonlinear Schrodinger equation on the torus2017

    • Author(s)
      Hideo Takaoka
    • Organizer
      The 34th Kyushu Symposium on Partial Differential equations
    • Place of Presentation
      九州大学(福岡県・博多市)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287022
  • [Presentation] On the resonance energy transfer for some nonlinear Schrodinger equation on the torus2017

    • Author(s)
      Hideo Takaoka
    • Organizer
      偏微分方程式セミナー
    • Place of Presentation
      北海道大学(北海道・札幌市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287022
  • [Presentation] 非線形シュレディンガー方程式に対する共鳴現象と解のダイナミクス2017

    • Author(s)
      高岡秀夫
    • Organizer
      神戸大学談話会
    • Data Source
      KAKENHI-PROJECT-25287022
  • [Presentation] Energy transfer model for the derivative nonlinear Schrodinger equations on the torus2016

    • Author(s)
      Hideo Takaoka
    • Organizer
      Workshop on Analysis in Kagurazaka 2016
    • Place of Presentation
      東京理科大学(東京都新宿区)
    • Year and Date
      2016-01-23
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287022
  • [Presentation] Well-posedness for the cubic NLS on surface S^22015

    • Author(s)
      高岡秀夫
    • Organizer
      The 23rd Annual Workshop of Differential Equations
    • Place of Presentation
      国立台東大学(台湾)
    • Year and Date
      2015-01-17
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287022
  • [Presentation] 非線形分散型方程式に対する不変測度の構成と初期値問題の大域可解性2015

    • Author(s)
      高岡秀夫
    • Organizer
      Saga Workshop on PDE
    • Place of Presentation
      佐賀大学(佐賀市)
    • Year and Date
      2015-03-04
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287022
  • [Presentation] Sharp well-posedness for the cubicnonlinear Schrodinger equation on S^22014

    • Author(s)
      高岡秀夫
    • Organizer
      Asymptotic Analysis for Nonlinear Dispersive and Wave Equations
    • Place of Presentation
      大阪大学(豊中市)
    • Year and Date
      2014-09-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287022
  • [Presentation] Well-posedness for the cubic NLS on surface S^22014

    • Author(s)
      高岡秀夫
    • Organizer
      The 10th HU and SNU Symposium on Mathematics
    • Place of Presentation
      北海道大学(札幌市)
    • Year and Date
      2014-11-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287022
  • [Presentation] Almost sure global well-posedness for the periodic derivative NLS2013

    • Author(s)
      高岡秀夫
    • Organizer
      名古屋微分方程式研究集会
    • Place of Presentation
      名古屋大学(名古屋市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] Almost sure global wellposedness for the periodic derivative NLS2013

    • Author(s)
      高岡秀夫
    • Organizer
      9th International ISAAC Congress
    • Place of Presentation
      クラクフ教育大学(ポーランド)
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287022
  • [Presentation] Almost sure global well-posedness for the periodic derivative NLS2013

    • Author(s)
      H. Takaoka
    • Organizer
      9th International ISAAC Congress
    • Place of Presentation
      Pedagogical University, Poland
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224003
  • [Presentation] Energy estimates and well-posedness for the cubic nonlinear Schrödinger equations in dimensions 1 and 22013

    • Author(s)
      高岡秀夫
    • Organizer
      応用解析研究会
    • Place of Presentation
      早稲田大学(東京都新宿区)
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287022
  • [Presentation] Almost sure global well-posedness for the periodic derivative NLS2013

    • Author(s)
      高岡秀夫
    • Organizer
      第5回名古屋微分方程式研究集会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2013-03-12
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] Almost sure global well-posedness for the periodic derivative NLS equation2012

    • Author(s)
      高岡秀夫
    • Organizer
      Nonlinear Dispersive Equations and Fluid Mechanics
    • Place of Presentation
      東北大学(仙台市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] Low regularity well-posedness and applications to almost sure global well-posedness of the periodic derivative NLS equation2012

    • Author(s)
      高岡秀夫
    • Organizer
      弘前非線形方程式研究会
    • Place of Presentation
      弘前大学(弘前市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] Low regularitywell-posedness and applications to almost sure global well-posedness of the periodic derivative NLS equation2012

    • Author(s)
      高岡秀夫
    • Organizer
      弘前非線形方程式研究
    • Place of Presentation
      弘前大学
    • Year and Date
      2012-11-03
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] Low regularitywell-posedness theory and applications to almost sure global well-posedness of theperiodic derivative NLS equation: Part 12012

    • Author(s)
      高岡秀夫
    • Organizer
      Topics on Nonlinear Partial Differential Equations
    • Place of Presentation
      浦項工科大学校(韓国)
    • Year and Date
      2012-09-26
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] On the derivative nonlinear Schrodinger equation with the periodic boundary condition2012

    • Author(s)
      高岡秀夫
    • Organizer
      Nonlinear Wave and Dispersive Equation
    • Place of Presentation
      京都大学(京都市)(招待講演)
    • Year and Date
      2012-03-07
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] Low regularitywell-posedness theory and applications to almost sure global well-posedness of theperiodic derivative NLS equation: Part 22012

    • Author(s)
      高岡秀夫
    • Organizer
      Topics on Nonlinear Partial Differential Equations
    • Place of Presentation
      浦項工科大学校(韓国)
    • Year and Date
      2012-09-27
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] On the derivative nonlinear Schrodinger equation with the periodic boundary2012

    • Author(s)
      高岡秀夫
    • Organizer
      Nonlinear Wave and Dispersive Equation
    • Place of Presentation
      京都大学
    • Year and Date
      2012-03-07
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] Almost sure globalwell-posedness for the periodic derivative NLS equation2012

    • Author(s)
      高岡秀夫
    • Organizer
      Nonlinear Dispersive Equations and Fluid Mechanics
    • Place of Presentation
      東北大学
    • Year and Date
      2012-12-12
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] Low regularity well-posedness theory and applications to almost sure global well-posedness of the periodic derivative NLS equation: Part 1, Part 22012

    • Author(s)
      高岡秀夫
    • Organizer
      Topics on Nonlinear Partial Differential Equations
    • Place of Presentation
      浦項工科大学校(韓国)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] Low regularity solutions to the derivative nonlinear Schrodinger equation2011

    • Author(s)
      高岡秀夫
    • Organizer
      熊本大学応用解析セミナー
    • Place of Presentation
      熊本大学
    • Year and Date
      2011-12-10
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] Low regularity solutions to the derivative nonlinear Schrodinger equation2011

    • Author(s)
      高岡秀夫
    • Organizer
      熊本大学応用解析セミナー
    • Place of Presentation
      熊本大学(熊本市)(招待講演)
    • Year and Date
      2011-12-10
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] Weak solutions for the derivative nonlinear Schrodinger equations2011

    • Author(s)
      高岡秀夫
    • Organizer
      The 7th HU and SNU symposium on Mathematics
    • Place of Presentation
      ソウル大学(韓国)
    • Year and Date
      2011-11-16
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] A priori estimates and weak solutions for the derivative nonlinear Schr¥"{o}dinger equations on torus2011

    • Author(s)
      H.Takaoka
    • Organizer
      Workshop on differential equations and its applications
    • Place of Presentation
      National Cheng Kung University, Taiwan(招待講演)
    • Year and Date
      2011-01-15
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] Weak solutions for the derivative nonlinear Schrodinger equations2011

    • Author(s)
      高岡秀夫
    • Organizer
      The 7th HU and SNU symposium on Mathematics
    • Place of Presentation
      ソウル大学(韓国)(招待講演)
    • Year and Date
      2011-11-16
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] A priori estimates and weak solutions for the derivative nonlinear Schrodinger equations on torus2011

    • Author(s)
      高岡秀夫
    • Organizer
      Workshop on differential equations and its applications
    • Place of Presentation
      National Cheng Kung University(台湾)
    • Year and Date
      2011-01-15
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] Well-posedness of the derivative nonlinear Schrodinger equation2010

    • Author(s)
      高岡秀夫
    • Organizer
      NLPDE seminar
    • Place of Presentation
      京都大学
    • Year and Date
      2010-11-26
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] Well-posedness of the derivative nonlinear Sch¥"{o}dinger equation2010

    • Author(s)
      H.Takaoka
    • Organizer
      NLPDE seminar
    • Place of Presentation
      京都大学(招待講演)
    • Year and Date
      2010-11-26
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] 非線形シュレディンガー方程式の大域解と解のソボレフノルム評価2010

    • Author(s)
      H.Takaoka
    • Organizer
      偏微分方程式セミナー
    • Place of Presentation
      北海道大学(招待講演)
    • Year and Date
      2010-04-19
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] 非線形シュレディンガー方程式に対するエネルギー転換と解のエネルギー評価2010

    • Author(s)
      高岡秀夫
    • Organizer
      解析セミナー
    • Place of Presentation
      神戸大学
    • Year and Date
      2010-02-15
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] 非線形シュレディンガー方程式の大域解と解のソボレフノルム評価2010

    • Author(s)
      高岡秀夫
    • Organizer
      偏微分方程式セミナー
    • Place of Presentation
      北海道大学
    • Year and Date
      2010-04-19
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] Growth of Sobolev norms of solutions for the cubic NLS on T22009

    • Author(s)
      高岡秀夫
    • Organizer
      第9回名古屋国際数学コンファレンス「Harmonic Analysis and Partial Differential Equations」
    • Place of Presentation
      名古屋大学
    • Year and Date
      2009-09-29
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] Growth of Sobolev norms of solutions for the cubic NLS on T^22009

    • Author(s)
      高岡秀夫
    • Organizer
      第9回名古屋国際数学コンファレンス「Harmonic Analysis and Partial Differential Equations」
    • Place of Presentation
      名古屋大学
    • Year and Date
      2009-09-29
    • Data Source
      KAKENHI-PROJECT-21684003
  • [Presentation] 非線形分散型波動方程式の大域解析2008

    • Author(s)
      H. Takaoka
    • Organizer
      日本数学会年会総合講演
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-24
    • Data Source
      KAKENHI-PROJECT-18740074
  • [Presentation] Morawetz評価式と非線形シュレディンガー方程式の散乱理論2008

    • Author(s)
      高岡秀夫
    • Organizer
      日本数学会北海道支部講演会
    • Place of Presentation
      北海道大学
    • Year and Date
      2008-11-28
    • Data Source
      KAKENHI-PROJECT-18740074
  • [Presentation] ベンジャミン・小野方程式に対するソリトン解の安定性について2008

    • Author(s)
      H. Takaoka
    • Organizer
      解析セミナー
    • Place of Presentation
      神戸大学
    • Year and Date
      2008-12-11
    • Data Source
      KAKENHI-PROJECT-18740074
  • [Presentation] Morawetz評価式と非線形シュレデインガー方程式の散乱理論2008

    • Author(s)
      高岡 秀夫
    • Organizer
      日本数学会北海道支部講演会
    • Place of Presentation
      北海道大学
    • Year and Date
      2008-11-28
    • Data Source
      KAKENHI-PROJECT-20540169
  • [Presentation] M0orawetz評価式と非線形シュレディンガー方程式の散乱理論2008

    • Author(s)
      高岡秀夫
    • Organizer
      日本数学会北海道支部講演会
    • Place of Presentation
      北海道大学.
    • Year and Date
      2008-11-28
    • Data Source
      KAKENHI-PROJECT-20540169
  • [Presentation] Morawetz 評価式と非線形シュレディンガー方程式の散乱理論2008

    • Author(s)
      H. Takaoka
    • Organizer
      日本数学会北海道支部講演会
    • Place of Presentation
      北海道大学
    • Year and Date
      2008-11-28
    • Data Source
      KAKENHI-PROJECT-18740074
  • [Presentation] Bilinear Strichartz estimates and applications to 2D NLS2007

    • Author(s)
      H. Takaoka
    • Organizer
      Nonlinear Wave Equations
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-08-29
    • Data Source
      KAKENHI-PROJECT-18740074
  • [Presentation] Nonsqueezing result of KdV on the torus2006

    • Author(s)
      H. Takaoka
    • Organizer
      解析セミナー
    • Place of Presentation
      神戸大学
    • Year and Date
      2006-04-20
    • Data Source
      KAKENHI-PROJECT-18740074
  • [Presentation] On the finite dimensional approximation of solution for the KdV equation on the torus2006

    • Author(s)
      H. Takaoka
    • Organizer
      調和解析と非線形偏微分方程式
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2006-07-05
    • Data Source
      KAKENHI-PROJECT-18740074
  • [Presentation] 非線形波動方程式の波数間相互作用と解の正則性2006

    • Author(s)
      H. Takaoka
    • Organizer
      数学教室談話会
    • Place of Presentation
      神戸大学
    • Year and Date
      2006-05-26
    • Data Source
      KAKENHI-PROJECT-18740074
  • 1.  NAKANISHI Kenji (40322200)
    # of Collaborated Projects: 5 results
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  • 2.  TSUTSUMI Yoshio (10180027)
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  • 3.  OHTA Masahito (00291394)
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  • 4.  TSUGAWA Kotaro (70402451)
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  • 5.  KOKUBU Hiroshi (50202057)
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  • 6.  SHIGEKAWA Ichiro (00127234)
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  • 7.  NISHIWADA Kimimasa (60093291)
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  • 8.  OKAJI Takashi (20160426)
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  • 12.  NAKAMURA Gen (50118535)
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  • 13.  HAYASHI Nakao (30173016)
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  • 14.  MIZUMACHI Tetsu (60315827)
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  • 20.  Kato Takamori (50620639)
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  • 21.  Miyaji Tomoyuki (20613342)
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  • 22.  Sasaki Youhei (70583459)
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  • 23.  利根川 吉廣 (80296748)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  井川 満 (80028191)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  高木 泉 (40154744)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  小薗 英雄 (00195728)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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