Hidano Kunio 肥田野久二男

… Alternative Names

HIDANO KUNIO 肥田野久二男

HIDANO Kunio 肥田野久二男

肥田野久二雄ヒダノクニオ

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Researcher Number	00285090
Other IDs
Affiliation (Current)	2025: 東京都市大学, 共通教育部, 教授
Affiliation (based on the past Project Information) *help	2015 – 2024: 三重大学, 教育学部, 教授 2007 – 2013: Mie University, 教育学部, 准教授 2003 – 2006: Chuo University, Faculty of Education, Assiociate, Professor, 教育学部, 助教授 2002: 東京都立大学, 理学部, 助手 2000 – 2002: 東京都立大学, 理学研究科, 助手 … More 2001: Graduate School of Science, Assistant Professor, 大学院・理学(系)研究科(研究院), 助手 1997 – 2001: 東京都立大学, 大学院・理学研究科, 助手 1998: 東京都立大学, 理学研究科・数学専攻, 助手 1997: 東京都立大学, 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 / 解析学 / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator 初期値問題 / 非線形波動方程式 / 時間大域解 / 波動方程式 / null condition / Strichartz型評価式 / 半線形波動方程式 / wave equation / weak null condition / 最大存在時間 … More / 適切性 / 半線型波動方程式 / 零条件 / blow up / global existence / nonlinear wave equations / 退化条件 / 準線形波動方程式 / 局所平滑化評価式 / 藤田・加藤の原理 / 球対称解 / 準線型波動方程式 / 解の爆発 / 弱零条件 / nonlinear scattering / 準線形波動方程式系 / 非線形波動方程式系 / Strichartz estimate / critical regularity / Cauchy problem / semilinear wave equation / combined effect / global solution / lifespan / chain rule / 分数階微分 / half wave equation / ストリッカーツ型評価式 / 局所平滑化効果 / 国外情報交換、中国 / 非線形偏微分方程式 / 時間大域解の存在 / 解の最大存在時間 / 解の初期値への連続依存性 / 外部領域 / 初期・境界値問題 / Abstract Strichartz型評価式 / 時間空間評価式 / Low-regularity solution / 非線形シュレディンガー方程式 / ストリッカーツ評価 / low-regularity solution / 重みつき評価式 / 解の存在時間 / なめらかさの低い解 / 時空評価式 / 非線型波動方程式 / 局所エネルギーの可積分性 / Low-regularity solutions / Morawetz型評価式 / 球対称関数 / Hardy-Littlewood-Sobolev / 時空L^2評価式 / 半線形発展方程式 / 自己相似解 / 散乱 / 非線形波動 … More Except Principal Investigator Inverse spectral problem / スペクトル逆問題 / 変分問題 / Hele-Shaw flow / Quadrature domain / Free boundary problem / Potential theory / ヘレショウ流れ / 求積領域 / 自由境界問題 / ポテンシャル論 / harmonic map / differntial equation / 偏微分方程式 / 非線形問題 / 調和写像 / 微分方程式 / 漸近挙動 / Ginzburg-Landau方程式 / Sturm-Liouville作用素 / KPP方程式 / Schrodinger作用素 / Dirac operator / Sturm-Liouville operator / large time asymptotics / scattering amplitude / dissipative wave equation / semilinear wave equation / generalized KPP equation / Low energy resolvent estimate / Porous media equation / Nonlinea scattering theory / Cahn-Hillard / Hele-Shaw fleid / Non-conservative wave equation / Inverse scattering problem / 散乱と逆散乱 / 極限吸収の原理 / スペクトル表現 / Schr\"odinger作用素 / Dirac作用素 / シュレディンガー方程式 / 解の漸近挙動 / 逆散乱問題 / 散乱振幅 / シュレディンカー方程式 / 半線形波動方程式 / 摩擦項を伴う波動方程式 / Hale-Shaw flow / inverse spectrum problem / Martin boundary / Ginzburg-Landau equation / first Dirichlet eigenvalue / optimization problem / Chern-Simons-Higgs theory / Cahn-Hilliard energy / 非線型波動方程式 / 放物型方程式の解の一意性 / Allen-Cahn方程式 / ギンツブルグ-ランダウ方程式 / Cahn-Hilliardエネルギー / 非線形散乱理論 / Martin境界 / 非線形Schrodinger方程式 / 楕円型境界値問題 / ヘレ-ショウの流れ / 逆スペクトル問題 / マルチン境界 / ギンツブルグ・ランダウ方程式 / ディリクレ第1固有値 / 最適化問題 / チャーンサイモン・ヒッグス理論 / カーン・ヒリアード・エネルギー / fundamental solution / Cauchy problem / dynamical system / scattering theory / variational problem / asymptotic behavior / Cauchy問題 / 基本解 / コーシー問題 / 力学系 / 散乱理論 / ヘレンショウ流れ / spline approximation / numerical scheme / Hamiltonian dynamics / semi-discretization / collocation method / Toda equation / partial differential equation / wavelet / 雑音除去 / 運動ロボット / ルンゲークッタ / シュレーディンガー方程式 / エルゴード制御 / ランダム行列 / 差分スキーム / 数値解析 / 双曲型偏微分方程式 / 弱l^Pノルム / 分散なし戸田方程式 / ハミルトン力学系 / ウェイヴレット展開 / エネルギー保存差分スキーム / スプライン近似 / 数値計算スキーム / ハミルトン力学 / 半離散化 / 選点法 / 戸田方程式 / ウェイヴレット / convergence theorem / nonlinear problem / gauge theory / singular point of solution / 大域解析学 / 非線形微分方程式 / 収束定理 / ゲージ理論 / 解の特異点 / bifurcation phenomena / Hele-Shaw fluid / Hamilton-Jacobi equation / Schrodinger operator / Sturm-Liouvill operator / Kirchhoff equation / Degenerate parabolic equation / localized dissipation near infinity / 爆発問題 / 追化放物型方程式 / KcrichhoH方程式 / 波動方程式 / Life-span / エネルギー減衰 / 反応拡散方程式 / 解の爆発 / 非線形散乱 / Fefferman-Phong不等式 / Hale-Shaw流 / 分岐現象 / Hele-Shaw流 / Hamilton-Jacobi方程式 / Sturm-Liouirlle作用素 / Kirchhoff方程式 / 退化放物型方程式 / 局在する摩擦項 Less

Weak null condition and (non) existence of global solutions to systems of wave equationsPrincipal Investigator
- Principal Investigator
  
  肥田野久二男
- Project Period (FY)
  2024 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Mie University
Global solutions to the Cauchy problem for systems of quasi-linear wave equations satisfying the weak null conditionPrincipal Investigator
- Principal Investigator
  
  Hidano Kunio
- Project Period (FY)
  2021 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Mie University
Challenges to unexplored fields of research on the Cauchy problem for systems of quasi-linear wave equations--large-time behavior and regularity of solutions--Principal Investigator
- Principal Investigator
  
  Hidano Kunio
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Mie University
On the lifespan and asymptotic behavior of solutions to systems of wave equations with nonlinear terms of long range effectsPrincipal Investigator
- Principal Investigator
  
  HIDANO KUNIO
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Mie University
Local smoothing estimates and applications to nonlinear hyperbolic equationsPrincipal Investigator
- Principal Investigator
  
  HIDANO Kunio
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Mie University
Local smoothing estimates for hyperbolic and dispersive equations and applicationsPrincipal Investigator
- Principal Investigator
  
  HIDANO Kunio
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Mie University
波動方程式の様々な局所平滑化評価式の拡張と統合に関する研究Principal Investigator
- Principal Investigator
  
  肥田野久二男
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Mie University
双曲型方程式の幾何学的対称性と非線型方程式の時間大域解の存在及び散乱問題の研究Principal Investigator
- Principal Investigator
  
  肥田野久二男
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Mie University
半線形波動方程式の解の漸近挙動と非線型弾性体方程式の時間大域解の存在の研究Principal Investigator
- Principal Investigator
  
  肥田野久二男
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo Metropolitan University
Study of Solutions to Partial Differential Equations, Variational Problems and Inverse Problems
- Principal Investigator
  
  KURATA Kazuhiro
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  TOKYO METROPOLITAN UNIVERSITY
Analysis of linear and nonlinear wave phenomena and the inverse problem
- Principal Investigator
  
  MOCHIZUKI Kiyoshi
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  CHUO UNIVERSITY
  Tokyo Metropolitan University
Numerical Analysis for Inverse Problems and Applications of Wavelet Analysis
- Principal Investigator
  
  OKADA Masami
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Metropolitan University
  Tohoku University
Changes of configuration in free boundary problems
- Principal Investigator
  
  SAKAI Makoto
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  TOKYO METROPOLITAN UNIVERSITY
Study of asymptotic behavior of solutions of differential equations
- Principal Investigator
  
  TAKAKUWA Shoichiro
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tokyo Metropolitan University
Free boundary problems in potential theory
- Principal Investigator
  
  SAKAI Makoto
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  TOKYO METOROPOLITAN UNIVERSITY
Analysis of Nonlinear Waves and Nonlinear Diffusions
- Principal Investigator
  
  MOCHIZUKI Kiyoshi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  TOKYO METOROPOLITAN UNIVERSITY
Study of singular solutions of nonlinear differential equations
- Principal Investigator
  
  TAKAKUWA Shoichiro
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  TOKYO METROPOLITAN UNIVERSITY

[Journal Article] Proceedings of 48th Sapporo Symposium on Partial Differential Equations2023
- Author(s)
  Kunio Hidano
- Journal Title
  
  Hokkaido University technical report series in Mathematics
  
  Volume: 185 Pages: 1-130
- DOI
  10.14943/108104
- Year and Date
  2023-08-08
- Language
  English
- Open Access
- Data Source
  KAKENHI-PROJECT-21K03324
[Journal Article] Global existence and blow up for systems of nonlinear wave equations related to the weak null condition2022
- Author(s)
  Kunio Hidano and Kazuyoshi Yokoyama
- Journal Title
  
  Discrete and Continuous Dynamical Systems
  
  Volume: - Issue: 9 Pages: 4385-4385
- DOI
  10.3934/dcds.2022058
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03365
[Journal Article] Global existence for a system of multiple-speed wave equations violating the null condition2022
- Author(s)
  Kunio Hidano, Kazuyoshi Yokoyama, Dongbing Zha
- Journal Title
  
  Tohoku Mathematical Journal
  
  Volume: -
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03365
[Journal Article] Global existence for null-form wave equations with data in a Sobolev space of lower regularity and weight2022
- Author(s)
  Kunio Hidano and Kazuyoshi Yokoyama
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume: -
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03365
[Journal Article] Global solutions to systems of quasilinear wave equations with low regularity data and applications2020
- Author(s)
  Dongbing Zha and Kunio Hidano
- Journal Title
  
  Journal de Mathematiques Pures et Appliquees
  
  Volume: 142 Pages: 146-183
- DOI
  10.1016/j.matpur.2020.05.006
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03365
[Journal Article] Remarks on a system of quasi-linear wave equations in 3 D satisfying the weak null condition2019
- Author(s)
  Kunio Hidano and Dongbing Zha
- Journal Title
  
  Communications on Pure and Applied Analysis
  
  Volume: 18 Issue: 4 Pages: 1735-1767
- DOI
  10.3934/cpaa.2019082
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03365
[Journal Article] Fractional derivatives of composite functions and the Cauchy problem for the nonlinear half wave equation2019
- Author(s)
  Kunio Hidano and Chengbo Wang
- Journal Title
  
  Selecta Mathematica, New Series
  
  Volume: 25 Issue: 1
- DOI
  10.1007/s00029-019-0460-4
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03365
[Journal Article] Global existence for a system of quasi-linear wave equations in 3D satisfying the weak null condition 【掲載確定】2018
- Author(s)
  Kunio Hidano and Kazuyoshi Yokoyama
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: - Issue: 1 Pages: 39-70
- DOI
  10.1093/imrn/rny024
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K04955, KAKENHI-PROJECT-18K03365
[Journal Article] Space-time L^2 estimates, regularity and almost global existence for elastic waves2018
- Author(s)
  Kunio Hidano and Dongbing Zha
- Journal Title
  
  Forum Mathematicum
  
  Volume: 30 Issue: 5 Pages: 1291-1307
- DOI
  10.1515/forum-2018-0050
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03365
[Journal Article] Regularity and lifespan of small solutions to systems of quasi-linear wave equations with multiple speeds,I: almost global existence2017
- Author(s)
  Kunio Hidano
- Journal Title
  
  京都大学数理解析研究所講究録別冊
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-15K04955
[Journal Article] Life span of small solutions to a system of wave equations2016
- Author(s)
  Kunio Hidano and Kazuyoshi Yokoyama
- Journal Title
  
  Nonlinear Analysis Series A: Theory, Methods & Applications
  
  Volume: 139 Pages: 106-130
- DOI
  10.1016/j.na.2016.02.020
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-15K04955
[Journal Article] Combined effects of two nonlinearities in lifespan of small solutions to semi-linear wave equations2016
- Author(s)
  Kunio Hidano, Chengbo Wang and Kazuyoshi Yokoyama
- Journal Title
  
  Mathematische Annalen
  
  Volume: 366 Issue: 1-2 Pages: 667-694
- DOI
  10.1007/s00208-015-1346-1
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04955
[Journal Article] The Glassey conjecture with radially symmetric data2012
- Author(s)
  Kunio Hidano, Chengbo Wang, and Kazuyoshi Yokoyama
- Journal Title
  
  Journal des Math é matiques Pures et Appliqu é es
  
  Volume: Vol.98, No.5 Issue: 5 Pages: 518-541
- DOI
  10.1016/j.matpur.2012.01.007
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540198
[Journal Article] On almost global existence and local well-posedness for some 3-D quasi-linear wave equations2012
- Author(s)
  Kunio Hidano, Chengbo Wang and Kazuyoshi Yokoyama
- Journal Title
  
  Advances in Differential Equations
  
  Volume: 17 Pages: 267-306
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540198
[Journal Article] On almost global existence and local well-posedness for some 3-D quasi-linear wave equations2012
- Author(s)
  Kunio Hidano, Chengbo Wang, and Kazuyoshi Yokoyama
- Journal Title
  
  Advances in Differential Equations
  
  Volume: Vol.17, No.3-4 Pages: 267-306
- URL
  http://projecteuclid.org/euclid.ade/1355703087
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540198
[Journal Article] On weighted Strichartz estimates and NLS for radial data in Sobolev spaces of negative indices2010
- Author(s)
  Kunio Hidano
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: 22 Pages: 1-12
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540165
[Journal Article] On abstract Strichartz estimates and the Strauss conjecture for nontrapping obstacles2010
- Author(s)
  Kunio Hidano, Jason Metcalfe, Hart F.Smith, Christopher D.Sogge, Yi Zhou
- Journal Title
  
  Transactions of the American Mathematical Society Vol.362, No.5
  
  Pages: 2789-2809
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540165
[Journal Article] On abstract Strichartz estimates and the Strauss conjecture for nontrapping obstacles2010
- Author(s)
  Kunio Hidano, 他4名
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 362 Pages: 2789-2809
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540165
[Journal Article] On weighted Strichartz estimates and NLS for radial data in Sobolev spaces of negative indices2010
- Author(s)
  Kunio Hidano
- Journal Title
  
  RIMS Kokyuroku Bessatsu Vol.22
  
  Pages: 1-12
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540165
[Journal Article] Small solutions to semi-linear wave equations with radial data of critical regularity2009
- Author(s)
  Kunio Hidano
- Journal Title
  
  Revista Matematica Iberoamericana Vol.25, No.2
  
  Pages: 693-708
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540165
[Journal Article] Small solutions to semi-linear wave equations with radial data of critical regularity2009
- Author(s)
  Kunio Hidano
- Journal Title
  
  Revista Matematica Iberoamericana 25
  
  Pages: 693-708
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540165
[Journal Article] Nonlinear Schrodinger equations with radially symmetric data of critical regularity2008
- Author(s)
  Kunio Hidano
- Journal Title
  
  Funkcialaj Ekvacioj 51巻1号
  
  Pages: 135-147
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540165
[Journal Article] Nonlinear Schrodinger equations with radially symmetric data of critical regularity2008
- Author(s)
  Kunio Hidano
- Journal Title
  
  Funkcialaj Ekvacioj 51巻1号(印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740069
[Journal Article] Weighted HLS inequalities for radial functions and Strichartz estimates for wave and Schrodinger equations2008
- Author(s)
  Kunio Hidano, Yuki Kurokawa
- Journal Title
  
  Illinois Journal of Mathematics Vol.52, No.2
  
  Pages: 365-388
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540165
[Journal Article] Nonlinear Schrodinger equations with radially symmetric data of critical regularity2008
- Author(s)
  Kunio Hidano
- Journal Title
  
  Funkcialaj Ekvacioj Vol.51, No.1
  
  Pages: 135-147
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540165
[Journal Article] Morawetz-Strichartz estimates for spherically symmetric solutions to wave equations and applications to semi-linear Cauchy problems2007
- Author(s)
  Kunio Hidano
- Journal Title
  
  Differential and Integral Equations 20巻7号
  
  Pages: 735-754
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740069
[Journal Article] A new proof of the global existence theorem of Klainerman for quasi-linear wave equations2006
- Author(s)
  Kunio Hidano
- Journal Title
  
  Bulletin of the Faculty of Education, Mie University 57巻
  
  Pages: 1-13
- NAID
  120006459371
- Data Source
  KAKENHI-PROJECT-18740069
[Journal Article] Space-time L 2-estimates and life-span of the Klainerman-Machedon radial solutions to some semi-linear wave equations2006
- Author(s)
  Kunio Hidano
- Journal Title
  
  Differential and Integral Equations 19巻・9号
  
  Pages: 961-980
- NAID
  120006459367
- Data Source
  KAKENHI-PROJECT-18740069
[Journal Article] A remark on the almost global existence theorems of Keel, Smith and Sogge2005
- Author(s)
  Kunio Hidano
- Journal Title
  
  Funkcialaj Ekvacioj 48・1
  
  Pages: 34-34
- NAID
  130000141241
- Data Source
  KAKENHI-PROJECT-15740092
[Journal Article] A remark on the almost global existence theorems of Keel, Smith and Sogge2005
- Author(s)
  Kunio Hidano
- Journal Title
  
  Funkcialaj Ekvacioj 48・1(発表予定)
- NAID
  130000141241
- Data Source
  KAKENHI-PROJECT-15740092
[Journal Article] On weighted Strichartz estimates and NLS for radialdata in Sobolev spaces of negative indices
- Author(s)
  Kunio Hidano
- Journal Title
  
  RIMS Kokyuroku Bessatsu (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540165
[Journal Article] Weighted HLS inequalities for radial functions and Strichartz estimates for wave and Schrodinger equations
- Author(s)
  Kunio Hidano, 他1名
- Journal Title
  
  Illinois Journal of Mathematics (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540165
[Journal Article] Weighted HLS inequalities for radial functions and Strichartz estimates for wave and Schrodinger equations
- Author(s)
  Kunio Hidano, 他1名
- Journal Title
  
  Illinois Journal of Mathematics (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740069
[Journal Article] Small solutions to semi-linear wave equations with radialdata of critical regularity
- Author(s)
  Kunio Hidano
- Journal Title
  
  Revista Matematica Iberoamericana (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540165
[Presentation] Global existence for a 2-speed and 3-component semilinear system of wave equations in 3D2024
- Author(s)
  肥田野久二男, 横山和義
- Organizer
  日本数学会 2024年度年会
- Data Source
  KAKENHI-PROJECT-21K03324
[Presentation] Global existence for 1-d semi-linear, multiple-speed systems of wave equations with the null condition2023
- Author(s)
  肥田野久二男
- Organizer
  松本偏微分方程式研究集会
- Data Source
  KAKENHI-PROJECT-21K03324
[Presentation] Point-wise estimation approach to the 1-d semi-linear wave equation with the null condition2022
- Author(s)
  肥田野　久二男
- Organizer
  駿河台偏微分方程式研究集会
- Data Source
  KAKENHI-PROJECT-21K03324
[Presentation] Global existence for a system of multiple-speed wave equations violating the null condition2021
- Author(s)
  肥田野　久二男
- Organizer
  半田山偏微分方程式研究集会
- Data Source
  KAKENHI-PROJECT-18K03365
[Presentation] Keel-Smith-Sogge estimates and nonlinear wave equations with minimal regularity2020
- Author(s)
  肥田野　久二男
- Organizer
  東北大学大学院理学研究科数学専攻談話会
- Invited
- Data Source
  KAKENHI-PROJECT-18K03365
[Presentation] Global existence for null-form wave equations with data in a Sobolev space of lower regularity and weight2020
- Author(s)
  肥田野久二男、横山和義
- Organizer
  日本数学会2020年度年会（中止になったが講演は成立している）
- Data Source
  KAKENHI-PROJECT-18K03365
[Presentation] Space-time L^2 estimates, regularity and (almost) global existence for quasi-linear wave equations, after Keel-Smith-Sogge and Rodnianski. I, II2018
- Author(s)
  肥田野　久二男
- Organizer
  名古屋偏微分方程式研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-18K03365
[Presentation] Space-time L^2 estimates, regularity and almost global existence for elastic waves2018
- Author(s)
  肥田野　久二男
- Organizer
  東京理科大学理工学部数学科談話会
- Invited
- Data Source
  KAKENHI-PROJECT-18K03365
[Presentation] Global existence and regularity of solutions to systems of quasi-linear wave equations satisfying the null condition2018
- Author(s)
  肥田野　久二男
- Organizer
  東北大学応用数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K03365
[Presentation] Global existence for a system of quasi-linear wave equations in 3-D satisfying the weak null condition2017
- Author(s)
  肥田野　久二男
- Organizer
  函館偏微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-15K04955
[Presentation] Global existence for a system of quasi-linear wave equations in 3D satisfying the weak null condition2017
- Author(s)
  肥田野　久二男
- Organizer
  『応用解析』研究会
- Invited
- Data Source
  KAKENHI-PROJECT-15K04955
[Presentation] On the local well-posedness for the nonlinear half wave equation2017
- Author(s)
  肥田野　久二男
- Organizer
  新発田偏微分方程式研究集会
- Place of Presentation
  市島株式会社（新潟県・新発田市）
- Invited
- Data Source
  KAKENHI-PROJECT-15K04955
[Presentation] Global existence for a system of quasi-linear wave equations in 3 D satisfying the weak null condition2017
- Author(s)
  Kunio Hidano
- Organizer
  Nonlinear Partial Differential Equations for Future Applications--Hyperbolic and Dispersive PDE--
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04955
[Presentation] Global existence for a system of quasi-linear wave equations in 3 D satisfying the weak null condition2017
- Author(s)
  肥田野　久二男，横山　和義
- Organizer
  日本数学会2017年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-15K04955
[Presentation] Global existence for a system of quasi-linear wave equations in 3D satisfying the weak null condition2017
- Author(s)
  肥田野　久二男
- Organizer
  函館偏微分方程式研究集会
- Data Source
  KAKENHI-PROJECT-15K04955
[Presentation] Space-time L^2 estimates, regularity and almost global existence for elastic waves2017
- Author(s)
  Kunio Hidano
- Organizer
  Analysis and the general relativity
- Invited
- Data Source
  KAKENHI-PROJECT-15K04955
[Presentation] Lindblad-Rodnianski の時空L^2評価式と異なる伝播速度を持つ空間2次元準線形波動方程式系のnull conditionの下での時間大域解の存在について2016
- Author(s)
  肥田野　久二男
- Organizer
  三大学偏微分方程式セミナー
- Place of Presentation
  中央大学理工学部（東京都・文京区）
- Invited
- Data Source
  KAKENHI-PROJECT-15K04955
[Presentation] Existence of global solutions to a 3D null-form nonlinear wave equation: A note on a theorem of Alinhac2016
- Author(s)
  肥田野　久二男
- Organizer
  彦根偏微分方程式研究集会
- Place of Presentation
  滋賀県立大学サテライト（滋賀県・彦根市）
- Data Source
  KAKENHI-PROJECT-15K04955
[Presentation] Regularity and global existence of small solutions to systems of quasi-linear wave equations in 2D with multiple speeds2016
- Author(s)
  肥田野　久二男
- Organizer
  日本数学会2016年度秋季総合分科会
- Place of Presentation
  関西大学（大阪府・吹田市）
- Data Source
  KAKENHI-PROJECT-15K04955
[Presentation] Existence of global solutions to a 3D null-form nonlinear wave equation: A note on a theorem of Alinhac2016
- Author(s)
  Kunio Hidano
- Organizer
  第14回 Linear and Nonlinear Waves
- Place of Presentation
  ピアザ淡海（滋賀県・大津市）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04955
[Presentation] Regularity and lifespan of small solutions to systems of quasi-linear wave equations in 2D with multiple speeds2016
- Author(s)
  Kunio Hidano
- 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（京都府・京都市）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04955
[Presentation] εの-6乗のオーダーのライフスパンをもつ空間3次元における非線形波動方程式系に関して2015
- Author(s)
  肥田野久二男
- Organizer
  三大学偏微分方程式セミナー
- Place of Presentation
  中央大学（東京都文京区）
- Year and Date
  2015-05-27
- Invited
- Data Source
  KAKENHI-PROJECT-15K04955
[Presentation] 小さな初期値に対する非線形波動方程式の初期値問題の時間大域解の存在～null conditionとcombined effectの競合の観点から～2015
- Author(s)
  肥田野久二男
- Organizer
  武蔵野偏微分方程式研究集会
- Place of Presentation
  日本獣医生命科学大学（東京都武蔵野市）
- Year and Date
  2015-10-11
- Data Source
  KAKENHI-PROJECT-15K04955
[Presentation] ある2次の非線形項をもつ半線形波動方程式系に対する初期値問題の小さな解のライフスパンについて2015
- Author(s)
  肥田野久二男
- Organizer
  北海道大学偏微分方程式セミナー
- Place of Presentation
  北海道大学（札幌市北区）
- Year and Date
  2015-06-29
- Invited
- Data Source
  KAKENHI-PROJECT-15K04955
[Presentation] 空間2次元で3次の非線形項と相異なる伝播速度をもつ波動方程式系の小さな時間大域解の存在の証明方法に関して2015
- Author(s)
  肥田野久二男
- Organizer
  日本数学会2015年度秋季総合分科会
- Place of Presentation
  京都産業大学（京都市北区）
- Year and Date
  2015-09-15
- Data Source
  KAKENHI-PROJECT-15K04955
[Presentation] ある 2 つの非線形項の和が半線形波動方程式の解の最大存在時間に与える影響に関して2014
- Author(s)
  肥田野久二男
- Organizer
  第6回名古屋微分方程式研究集会
- Place of Presentation
  名古屋大学(名古屋市千種区)
- Year and Date
  2014-03-11
- Data Source
  KAKENHI-PROJECT-23540198
[Presentation] ある二つの非線形項の和が半線形波動方程式の解の最大存在時間に与える影響に関して2013
- Author(s)
  肥田野久二男
- Organizer
  三大学偏微分方程式セミナー
- Place of Presentation
  中央大学(東京都文京区)
- Year and Date
  2013-05-29
- Data Source
  KAKENHI-PROJECT-23540198
[Presentation] 複数の伝播速度をもつ準線形波動方程式系の時間大域解の存在(再訪)2013
- Author(s)
  肥田野久二男
- Organizer
  偏微分方程式に関連した最近の話題
- Place of Presentation
  山形大学(山形市)
- Year and Date
  2013-09-19
- Data Source
  KAKENHI-PROJECT-23540198
[Presentation] 時空 L^2 評価式と半線形波動方程式の小さな時間大域解の存在に関する Glassey の予想に関して2012
- Author(s)
  肥田野久二男
- Organizer
  熊本大学応用解析セミナー
- Place of Presentation
  熊本大学(熊本市中央区)
- Year and Date
  2012-07-21
- Data Source
  KAKENHI-PROJECT-23540198
[Presentation] 空間2次元における半線形波動方程式の解の最大存在時間について（中間報告として）2012
- Author(s)
  肥田野　久二男
- Organizer
  函館偏微分方程式研究集会
- Place of Presentation
  公立はこだて未来大学
- Data Source
  KAKENHI-PROJECT-23540198
[Presentation] 空間 2 次元における半線形波動方程式の解の最大存在時間について(中間報告として)2012
- Author(s)
  肥田野久二男
- Organizer
  函館偏微分方程式研究集会
- Place of Presentation
  公立はこだて未来大学(函館市)
- Year and Date
  2012-10-08
- Data Source
  KAKENHI-PROJECT-23540198
[Presentation] 時空L2評価式と半線形波動方程式の小さな時間大域解の存在に関するGlasseyの予想に関して2012
- Author(s)
  肥田野　久二男
- Organizer
  熊本大学応用解析セミナー
- Place of Presentation
  熊本大学
- Invited
- Data Source
  KAKENHI-PROJECT-23540198
[Presentation] Space-time L^2 estimates and the Glassey conjecture on global existence of small solutions to semilinear wave equations2011
- Author(s)
  肥田野　久二男
- Organizer
  三大学偏微分方程式セミナー(招待講演)
- Place of Presentation
  中央大学理工学部
- Data Source
  KAKENHI-PROJECT-23540198
[Presentation] 時空 L^2 評価式と半線形波動方程式の小さな時間大域解の存在に関する Glassey の予想に関して2011
- Author(s)
  肥田野久二男
- Organizer
  三大学偏微分方程式セミナー
- Place of Presentation
  中央大学(東京都文京区)
- Year and Date
  2011-12-21
- Data Source
  KAKENHI-PROJECT-23540198
[Presentation] On almost global wellposedness for quasilinear wave equations with radial symmetry2010
- Author(s)
  Kunio Hidano, Chengbo Wang, Kazuyoshi Yokoyama
- Organizer
  AMS 2010 Spring Western Section Meeting (Special Session on Harmonic Analysis and Partial Differential Equations)
- Place of Presentation
  University of New Mexico(米国ニューメキシコ州)
- Year and Date
  2010-04-17
- Data Source
  KAKENHI-PROJECT-20540165
[Presentation] 3次元準線形波動方程式のH^2\times H^1-初期値に対する球対称解について2010
- Author(s)
  肥田野久二男, Chengbo Wang, 横山和義
- Organizer
  日本数学会年会(関数方程式分科会)
- Place of Presentation
  慶応義塾大学矢上キャンパス
- Year and Date
  2010-03-27
- Data Source
  KAKENHI-PROJECT-20540165
[Presentation] 変数係数の波動方程式に対する重みつき時空L^2評価式と準線型方程式の時間局所適切性2008
- Author(s)
  肥田野久二男
- 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
- Year and Date
  2008-05-26
- Data Source
  KAKENHI-PROJECT-20540165
[Presentation] Weighted Strichartz estimates and well-posedness for nonlinear wave equations with low-regularity data2008
- Author(s)
  肥田野久二男
- Organizer
  7th AIMS International Conference on Dynamical Systems, Differential Equations and Applications (Session on Qualitative Behavior of Solutions to Evolutionary PDE's)
- Place of Presentation
  University of Texas at Arlington(米国テキサス州)
- Year and Date
  2008-05-19
- Data Source
  KAKENHI-PROJECT-20540165
[Presentation] 変数係数の波動方程式に対する重みっき時空L^2評式と準線型方程式の時間局所適切性2008
- Author(s)
  肥田野, 久二男
- Organizer
  非線形双曲型および分散型方程式の研究
- Place of Presentation
  京都府京都市
- Year and Date
  2008-06-19
- Data Source
  KAKENHI-PROJECT-20540165
[Presentation] Weighted Strichartz estimates and well-posedness for nonlinear wave equations with low-regularity data2008
- Author(s)
  肥田野, 久二男
- Organizer
  7th AIMS International Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  アメリカ合衆国テキサス州
- Year and Date
  2008-05-19
- Data Source
  KAKENHI-PROJECT-20540165
[Presentation] Local existence of minimal-regularity radial solutions to semi-linear wave equations2007
- Author(s)
  肥田野久二男
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  宮城県仙台市
- Year and Date
  2007-09-22
- Data Source
  KAKENHI-PROJECT-18740069
[Presentation] On weighted Strichartz estimates and NLS for radial data in Sobolev spaces of negative indices2007
- Author(s)
  肥田野久二男
- Organizer
  RIMS研究集会「調和解析学と非線形偏微分方程式」
- Place of Presentation
  京都府京都市
- Year and Date
  2007-07-09
- Data Source
  KAKENHI-PROJECT-18740069
[Presentation] The global existence theorem for quasi-linear wave equations with multiple speeds, revisited
- Author(s)
  肥田野　久二男
- Organizer
  Recent topics related to partial differential equations
- Place of Presentation
  山形大学
- Invited
- Data Source
  KAKENHI-PROJECT-23540198
[Presentation] On combined effects of some two nonlinear terms in the lifespan of small solutions to semilinear wave equations
- Author(s)
  肥田野　久二男
- Organizer
  第6回名古屋微分方程式研究集会
- Place of Presentation
  名古屋大学
- Invited
- Data Source
  KAKENHI-PROJECT-23540198

1. KURATA Kazuhiro (10186489)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
2. MOCHIZUKI Kiyoshi (80026773)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
3. SAKAI Makoto (70016129)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
4. TAKAKUWA Shoichiro (10183435)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
5. ISHII Hitoshi (70102887)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. 横山和義 (20316243)

# of Collaborated Projects: 3 results

# of Collaborated Products: 5 results
7. OKADA Masami (00152314)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. SUZUKI Ryuichi (00226573)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. HIRATA Masaki (70254141)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. TODA Masahito (80291566)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. NISHIOKA Kunio (60101078)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. OHNITA Yoshihiro (90183764)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. ISOZAKI Hiroshi (90111913)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. SUMI Naoya (50301411)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. NAKAUCHI Nobumitsu (50180237)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. MURATA Minoru (50087079)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. TANAKA Kazunaga (20188288)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. JIMBO Shuichi (80201565)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. OHARU Shinnnosuke (40063721)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. MURAMATSU Toshinobu (60027365)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. KADOWAKI Mitsuteru (70300548)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. 中村誠 (70312634)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. 森本宏明 (80166438)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. 日合文雄 (30092571)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. 林朗 (60240909)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. 小澤一文 (20100753)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. 星賀彰 (60261400)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. KAWANAGO Tadashi

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Hidano Kunio 肥田野 久二男

HIDANO KUNIO 肥田野 久二男

HIDANO Kunio 肥田野 久二男

肥田野 久二雄 ヒダノ クニオ

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Co-Researchers

Weak null condition and (non) existence of global solutions to systems of wave equationsPrincipal Investigator

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Global solutions to the Cauchy problem for systems of quasi-linear wave equations satisfying the weak null conditionPrincipal Investigator

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Challenges to unexplored fields of research on the Cauchy problem for systems of quasi-linear wave equations--large-time behavior and regularity of solutions--Principal Investigator

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On the lifespan and asymptotic behavior of solutions to systems of wave equations with nonlinear terms of long range effectsPrincipal Investigator

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Local smoothing estimates and applications to nonlinear hyperbolic equationsPrincipal Investigator

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Local smoothing estimates for hyperbolic and dispersive equations and applicationsPrincipal Investigator

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波動方程式の様々な局所平滑化評価式の拡張と統合に関する研究Principal Investigator

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双曲型方程式の幾何学的対称性と非線型方程式の時間大域解の存在及び散乱問題の研究Principal Investigator

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半線形波動方程式の解の漸近挙動と非線型弾性体方程式の時間大域解の存在の研究Principal Investigator

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Hidano Kunio 肥田野久二男

HIDANO KUNIO 肥田野久二男

HIDANO Kunio 肥田野久二男

肥田野久二雄ヒダノクニオ