Katayama Soichiro 片山聡一郎

… Alternative Names

KATAYAMA Soichiro 片山聡一郎

片山聡一郎カタヤマソウイチロウ

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Researcher Number	70283942
Other IDs
External Links
Affiliation (Current)	2025: 大阪大学, 大学院理学研究科, 教授
Affiliation (based on the past Project Information) *help	2024: 大阪大学, 大学院理学研究科, 教授 2022: 大阪大学, 大学院理学研究科, 教授 2016 – 2021: 大阪大学, 理学研究科, 教授 2009 – 2015: Wakayama University, 教育学部, 教授 2008: Wakayama University, 教育学部, 准教授 2004 – 2006: 和歌山大学, 教育学部, 助教授 1996 – 1998: 和歌山大学, 教育学部, 講師
Review Section/Research Field	Principal Investigator Global analysis / Basic Section 12020:Mathematical analysis-related / Mathematical analysis / 解析学 Except Principal Investigator Broad Section B / Mathematical analysis / Basic analysis / Global analysis / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator 非線形波動方程式 / 漸近挙動 / 大域解 / 零条件 / 初期値問題 / 弱零条件 / 非線形波動 / クライン・ゴルドン方程式 / 非線形 / 波動方程式 … More / 非線形シュレディンガー方程式 / 非線形クライン=ゴルドン方程式系 / 非線形シュレディンガー方程式系 / 非線形波動方程式系 / エネルギー減衰 / 初期値境界値問題 / null条件 / クライン-ゴルドン方程式 / 双曲型方程式 / クラインーゴルドン方程式 / 外部問題 / null condition / 時間大域解 / 解の存在時間 / 伝播速度の異なる連立波動方程式系 … More Except Principal Investigator 変分解析 / 函数解析 / 漸近解析 / 調和解析 / 函数空間論 / 函数方程式 / 実解析 / 関数空間論 / 関数方程式 / 数学解析 / 関数方程式の大域理論 / 国際研究者交流(アメリカ） / 遠方場 / 解の爆発 / 時間大域解 / 漸近的に平坦な計量 / 非線型波動方程式 / 非共鳴相互作用 / Ghost weightエネルギー / 伝播速度 / Null-form / 非共鳴作用 / Null-condition / ライフスパン / 零条件 / 波動方程式 Less

Analysis of critical interactions in wave fields
- Principal Investigator
  
  小澤徹
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Review Section
  
  Broad Section B
- Research Institution
  Waseda University
Structural conditions for global existence of solutions and the asymptotic behavior of global solutions for systems of nonlinear partial differential equations related to nonlinear wavesPrincipal Investigator
- Principal Investigator
  
  Katayama Soichiro
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Osaka University
Global existence and the asymptotic behavior for partial diffierential equations concerning nonlinear wavesPrincipal Investigator
- Principal Investigator
  
  Katayama Soichiro
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Osaka University
  Wakayama University
Study on oscillation and singularity in mass resonance
- Principal Investigator
  
  Tohru Ozawa
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Mathematical analysis
- Research Institution
  Waseda University
Global behavior for nonlinear wave
- Principal Investigator
  
  Kubo Hideo
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
Global existence and asymptotic behavior for systems of nonlinear hyperbolic equationsPrincipal Investigator
- Principal Investigator
  
  KATAYAMA Soichiro
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Wakayama University
Research of global behavior of classical solutions for quasilinear Wave equations
- Principal Investigator
  
  HOSHIGA Akira
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Shizuoka University
Studies on the sufficient conditions for the global existence of solutions to the exterior problems for nonlinear hyperbolic equationsPrincipal Investigator
- Principal Investigator
  
  KATAYAMA Soichiro
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Wakayama University
非線形波動方程式系の初期値問題に対する解の存在時間と大域解の存在条件Principal Investigator
- Principal Investigator
  
  片山聡一郎
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Wakayama University
非線形波動に関連する偏微分方程式の初期値問題Principal Investigator
- Principal Investigator
  
  片山聡一郎
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Wakayama University
マルコフ決定過程における分散および期待効用に関する最適化の研究
- Principal Investigator
  
  門田良信
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Wakayama University

[Book] Global Solutions and the Asymptotic Behavior for Nonlinear Wave Equations with Small Initial Data (MSJ Memoirs Volume 36)2017
- Author(s)
  Soichiro Katayama
- Total Pages
  298
- Publisher
  Mathematical Society of Japan (日本数学会)
- ISBN
  9784864970549
- Data Source
  KAKENHI-PROJECT-26400168
[Journal Article] Remarks on weaker null conditions for two kinds od systems of semilinear wave equations in three space dimensions2023
- Author(s)
  Minggang CHeng and Soichiro Katayama
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01128
[Journal Article] Systems of semilinear wave equations with multiple speeds in two space dimensions and a weaker null condition2022
- Author(s)
  Minggang Cheng and Soichiro Katayama
- Journal Title
  
  Communications on Pure and Applied Analysis
  
  Volume: 21 Issue: 9 Pages: 3117-3139
- DOI
  10.3934/cpaa.2022092
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01128
[Journal Article] 非線形波動方程式系に対する零条件とその周辺2021
- Author(s)
  片山聡一郎
- Journal Title
  
  数学
  
  Volume: 73 Pages: 380-404
- NAID
  40022736271
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01128
[Journal Article] Global existence and the asymptotic behavior for systems of nonlinear wave equations violating the null condition2020
- Author(s)
  Soichiro Katayama
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01128
[Journal Article] Asymptotic behavior for a class of derivative nonlinear Schroedinger systems2020
- Author(s)
  Soichiro Katayama and Daisuke Sakoda
- Journal Title
  
  SN Partial Differential Equations and Applications
  
  Volume: 1 Issue: 3 Pages: 12-12
- DOI
  10.1007/s42985-020-00012-4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01128
[Journal Article] Global existence for systems of nonlinear wave and Klein-Gordon equations with compactly supported initial data2018
- Author(s)
  Soichiro Katayama
- Journal Title
  
  Communications on Pure and Applied Analysis
  
  Volume: 17 Issue: 4 Pages: 1479-1497
- DOI
  10.3934/cpaa.2018071
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400168
[Journal Article] Remarks on the asymptotic behavior of global solutions to systems of semilinear wave equations2018
- Author(s)
  Soichiro Katayama
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: －
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400168
[Journal Article] Global existence for a class of system of nonlinear wave and Klein-Gordon equations2018
- Author(s)
  Soichiro Katayama
- Journal Title
  
  RIMS Kokyuroku Bessatsu (数理解析研究所講究録別冊)
  
  Volume: －
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400168
[Journal Article] Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions2015
- Author(s)
  Soichiro Katayama, Akitaka Matsumura, Hideaki Sunagawa
- Journal Title
  
  Nonlinear Differential Equations and Applications NoDEA
  
  Volume: 未定 Issue: 4 Pages: 601-628
- DOI
  10.1007/s00030-014-0297-7
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-23340036, KAKENHI-PROJECT-25400161, KAKENHI-PROJECT-22340027, KAKENHI-PROJECT-24340024
[Journal Article] Semilinear hyperbolic systems violating the null condition2015
- Author(s)
  Soichiro Katayama, Toshiaki Matoba and Hideaki Sunagawa
- Journal Title
  
  Mathematische Annalen
  
  Volume: 361 (1-2) Issue: 1-2 Pages: 275-312
- DOI
  10.1007/s00208-014-1071-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340024, KAKENHI-PROJECT-25400161
[Journal Article] Global existence for quadratically perturbed massless Dirac equations under the null condition2014
- Author(s)
  Soichiro Katayama and Hideo Kubo
- Journal Title
  
  Fourier Analysis: Pseudo-Differential Operators, Time-Frequency Analysis and Partial Differential Equations (M. Ruzhansky and V. Turunen, eds.), Birkhäuser
  
  Pages: 253-262
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540241
[Journal Article] Null structure in a system of quadratic derivative Schroedinger equations2014
- Author(s)
  Masahiro Ikeda, Soichiro Katayama and Hideaki Sunagawa
- Journal Title
  
  Annales Henri Poincare
  
  Volume: 印刷中(電子出版済) Issue: 2 Pages: 535-567
- DOI
  10.1007/s00023-014-0316-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540241, KAKENHI-PROJECT-25400161
[Journal Article] A remark on decay rates of solutions for a system of quadratic nonlinear Schroedinger equations in 2D2014
- Author(s)
  Soichiro Katayama, Chunhua Li and Hideaki Sunagawa
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 27 (3-4) Pages: 301-312
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540241
[Journal Article] Global existence for quadratically perturbed massless Dirac equations under the null condition2014
- Author(s)
  Soichiro Katayama and Hideo Kubo
- Journal Title
  
  Fourier Analysis: Pseudo-Differential Operators, Time-Frequency Analysis and Partial Differential Equations, M. Ruzhansky, V Turunen 編, Birkhaeuser 刊
  
  Volume: なし (プロシーディング) Pages: 253-262
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540241
[Journal Article] A remark on decay rates of solutions for a system of quadratic nonlinear Schrödinger equations in 2D2014
- Author(s)
  Soichiro Katayama, Chunhua Li and Hideaki Sunagawa
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 27, No.3-4 Pages: 301-312
- URL
  http://projecteuclid.org/euclid.die/1391091368
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540241
[Journal Article] Almost global existence for exterior Neumann problems of semilinear wave equations in 2D2013
- Author(s)
  Soichiro Katayama, Hideo Kubo, and Sandra Lucente
- Journal Title
  
  Commun. Pure Appl. Anal.
  
  Volume: 12 Pages: 2331-2360
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340024
[Journal Article] Lower bound of the lifespan of solutions to semilinear wave equations in an exterior domain2013
- Author(s)
  Soichiro Katayama and Hideo Kubo
- Journal Title
  
  Journal of Hyperbolic Differential Equations
  
  Volume: 10, No.2 Issue: 02 Pages: 199-234
- DOI
  10.1142/s0219891613500094
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540241
[Journal Article] Lower bound of the lifespan of solutions to semilinear wave equations in an exterior domain2013
- Author(s)
  Soichiro Katayama, Hideo Kubo
- Journal Title
  
  J. Hyper. Differential Equations (掲載確定)
  
  Volume: (掲載確定)(印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340024
[Journal Article] Lower bound of the lifespan of solutions to semilinear wave equations in an exterior domain2013
- Author(s)
  Soichiro Katayama and Hideo Kubo
- Journal Title
  
  J. Hyper. Differential Equations
  
  Volume: 10 Pages: 1-36
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340024
[Journal Article] Almost global existence for exterior Neumann problems of semilinear wave equations in 2D2013
- Author(s)
  Soichiro Katayama, Hideo Kubo and Sandra Lucente
- Journal Title
  
  Communications on Pure and Applied Analysis
  
  Volume: 12, No.6 Issue: 6 Pages: 2331-2360
- DOI
  10.3934/cpaa.2013.12.2331
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540241
[Journal Article] Asymptotic behavior for systems of nonlinear wave equations with multiple propagation speeds in three space dimensions2013
- Author(s)
  Soichiro Katayama
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 255 Pages: 120-150
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340024
[Journal Article] Almost global existence for exterior Neumann problems of semilinear wave equations in 2D2013
- Author(s)
  Soichiro Katayama, Hideo Kubo, Sandra Lucente
- Journal Title
  
  Commun. Pure Appl. Anal. (掲載確定)
  
  Volume: (掲載確定)(印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340024
[Journal Article] Asymptotic behavior for systems of nonlinear wave equations with multiple propagation speeds in three space dimensions2013
- Author(s)
  Soichiro Katayama
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 255, No.1 Issue: 1 Pages: 120-150
- DOI
  10.1016/j.jde.2013.04.003
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540241
[Journal Article] Asymptotic pointwise behavior for systems of semilinear wave equations in three space dimensions2012
- Author(s)
  Soichiro Katayama
- Journal Title
  
  Journal of Hyperbolic Differential Equations
  
  Volume: 9 Issue: 02 Pages: 263-323
- DOI
  10.1142/s0219891612500099
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340024
[Journal Article] The energy decay and asymptotics for a class of semilinear wave equations in two space dimensions2012
- Author(s)
  Soichiro Katayama, Daisuke Murotani, Hideaki Sunagawa
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: 12 Issue: 4 Pages: 891-916
- DOI
  10.1007/s00028-012-0160-4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740089, KAKENHI-PROJECT-23540241
[Journal Article] Global existence for coupled systems of nonlinear wave and Klein-Gordon equations in three space dimensions2011
- Author(s)
  Soichiro Katayama
- Journal Title
  
  Mathematische Zeitschrift
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540211
[Journal Article] Global existence for coupled systems of nonlinear wave and Klein-Gordon equations in three space dimensions2011
- Author(s)
  Soichiro Katayama
- Journal Title
  
  Mathematische Zeitschrift (D0I:10.1007/s2009-010-0808-0)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540211
[Journal Article] The rate of convergence to the asymptotics for the wave equation in an exterior domain2010
- Author(s)
  Soichiro Katayama, Hideo Kubo
- Journal Title
  
  Funkcialaj Ekvacioj
  
  Volume: 53 Pages: 331-358
- NAID
  130000419148
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540211
[Journal Article] The rate of convergence to the asymptotics for the wave equation in an exterior domain2010
- Author(s)
  Soichiro Katayama, Hideo Kubo
- Journal Title
  
  Funkcialaj Ekvacioj Vol.53
  
  Pages: 331-358
- NAID
  130000419148
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540211
[Journal Article] On the large time behavior of solutions to semilinear system of the wave equation2009
- Author(s)
  Soichiro Katayama, Hideo Kubo
- Journal Title
  
  Proceedings of the 5th International ISAAC congress vol. 1
  
  Pages: 581-589
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540206
[Journal Article] An alternative proof of global existence for nonlinear wave equations in an exterior domain2008
- Author(s)
  Soichiro Katayama, Hideo Kubo
- Journal Title
  
  Journal of the Mathematical Society of Japan 60
  
  Pages: 1135-1170
- NAID
  10024905348
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540206
[Journal Article] Global existence and asymptotic behavior of solutions to systems of semilinear wave equations in two space dimensions2008
- Author(s)
  Soichiro Katayama
- Journal Title
  
  Hokkaido Mathematical Journal 37
  
  Pages: 689-714
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540206
[Journal Article] Global small amplitude solutions to systems of nonlinear wave equations with multiple speeds2006
- Author(s)
  Soichiro Katayama, Kazuyoshi Yokoyama
- Journal Title
  
  Osaka Journal of Mathematics 43巻 2号
  
  Pages: 283-326
- NAID
  120006459399
- Data Source
  KAKENHI-PROJECT-16740094
[Journal Article] Asymptotic behavior of solutions to semilinear systems of wave equations
- Author(s)
  Soichiro Katayama, Hideo Kubo
- Journal Title
  
  Indiana University Mathematics Journal (掲載決定済)
- Data Source
  KAKENHI-PROJECT-16740094
[Presentation] 臨界次数をもつ非線形波動・シュレディンガー方程式系の大域解の漸近挙動 I, II2020
- Author(s)
  片山聡一郎
- Organizer
  PDE Workshop in Miyazaki
- Invited
- Data Source
  KAKENHI-PROJECT-18H01128
[Presentation] 零条件を満たさない準線形波動方程式系の大域解の漸近挙動2019
- Author(s)
  片山聡一郎
- Organizer
  Nonlinear Dispersive Equations in Kumamoto, 2019
- Invited
- Data Source
  KAKENHI-PROJECT-18H01128
[Presentation] Asymptotic behavior for a class of derivative nonlinear Schroedinger systems2019
- Author(s)
  片山　聡一郎
- Organizer
  九州関数方程式論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18H01128
[Presentation] Global existence and the asymptotic behavior for systems of nonlinear wave equations violating the null condition2018
- Author(s)
  Soichiro Katayama
- Organizer
  The Role of Metrics in the Theory of Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01128
[Presentation] Global existence and the asymptotic behavior for systems of semilinear wave equations2017
- Author(s)
  Soichiro Katayama
- Organizer
  Workshop on Nonlinear Wave Equations, Fudan University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400168
[Presentation] Global existence for a class of system of nonlinear wave and Klein-Gorodn equations2017
- Author(s)
  片山聡一郎
- Organizer
  第13回非線型の諸問題 (於: 鹿児島市町村自治会館)
- Invited
- Data Source
  KAKENHI-PROJECT-26400168
[Presentation] Decay of solutions of wave equations with nonlinear dissipative terms2017
- Author(s)
  Soichiro Katayama
- Organizer
  研究集会「Critical Exponents and Nonlinear Evolution Equation」
- Place of Presentation
  東京理科大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400168
[Presentation] Decay of solutions to nonlinear dissipative wave equations in one space dimension2017
- Author(s)
  片山聡一郎
- Organizer
  広島微分方程式研究会 (於: 広島大学)
- Invited
- Data Source
  KAKENHI-PROJECT-26400168
[Presentation] Global existence for a class of system of nonlinear wave and Klein-Gordon equations in 3D2017
- Author(s)
  Soichiro Katayama
- Organizer
  調和解析と非線形偏微分方程式 (於: 京都大学数理解析研究所)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400168
[Presentation] Global existence for systems of nonlinear wave and Klein-Gordon equations with compactly supported data2017
- Author(s)
  Soichiro Katayama
- Organizer
  Zhejiang-Tohoku International Workshop "Nonlinear Partial Differential Equations 2017"
- Place of Presentation
  東北大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400168
[Presentation] 非線形波動方程式系の大域解の存在と漸近挙動2017
- Author(s)
  片山聡一郎
- Organizer
  日本数学会2017年度年会(函数方程式論分科会特別講演)
- Place of Presentation
  首都大学東京
- Invited
- Data Source
  KAKENHI-PROJECT-26400168
[Presentation] Asymptotic behavior of solutions for systems of semilinear wave equations2016
- Author(s)
  Soichiro Katayama
- Organizer
  The 23rd Machikaneyama Seminar on PDEs
- Place of Presentation
  大阪大学理学部
- Year and Date
  2016-03-08
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400168
[Presentation] Asymptotic behavior of solutions for systems of semilinear wave equations2016
- Author(s)
  片山聡一郎
- Organizer
  第33回九州における偏微分方程式研究集会
- Place of Presentation
  九州大学西新プラザ
- Year and Date
  2016-01-29
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400168
[Presentation] Asymptotic behavior for systems of semilinear wave equations violating the null condition2015
- Author(s)
  Soichiro Katayama
- Organizer
  Workshop on Partial Differential Equations and Numerical Analysis
- Place of Presentation
  延吉市（中国）
- Year and Date
  2015-07-07
- Invited
- Data Source
  KAKENHI-PROJECT-24340024
[Presentation] Asymptotic behavior for systems of semilinear wave equations violating the null condition2015
- Author(s)
  Soichiro Katayama
- Organizer
  Workshop on Partial Differential Equations and Numerical Analysis
- Place of Presentation
  延辺大学 (中国)
- Year and Date
  2015-07-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400168
[Presentation] Asymptotic behavior for small solutions to systems of semilinear wave equations2014
- Author(s)
  Soichiro Katayama
- Organizer
  International Conference: Asymptotic Analysis for Nonlinear Dispersive and Wave Equations
- Place of Presentation
  大阪大学
- Year and Date
  2014-09-11
- Invited
- Data Source
  KAKENHI-PROJECT-26400168
[Presentation] Asymptotic behavior for small solutions to systems of semilinear wave equations2014
- Author(s)
  Soichiro Katayama
- Organizer
  International Conference: Asymptotic Analysis for Nonlinear Dispersive and Wave Equations
- Place of Presentation
  大阪大学（大阪府・吹田市）
- Year and Date
  2014-09-11
- Invited
- Data Source
  KAKENHI-PROJECT-24340024
[Presentation] Semilinear hyperbolic systems violating the null condition2013
- Author(s)
  Soichiro Katayama
- Organizer
  Mexico-Japan Joint Meeting on PDE at Morelia
- Place of Presentation
  メキシコ自治大学モレリアキャンパス
- Year and Date
  2013-09-05
- Data Source
  KAKENHI-PROJECT-23540241
[Presentation] A semilinear hyperbolic system violating the null condition2013
- Author(s)
  片山聡一郎
- Organizer
  第30回九州における偏微分方程式研究集会
- Place of Presentation
  福岡大学 (福岡市)(招待講演)
- Year and Date
  2013-01-31
- Data Source
  KAKENHI-PROJECT-24340024
[Presentation] Semilinear hyperbolic systems violating the null condition2013
- Author(s)
  片山聡一郎
- Organizer
  Mexico-Japan Joint Meeting on PDE at Morelia
- Place of Presentation
  メキシコ自治大学モレリア・キャンパス (メキシコ）
- Invited
- Data Source
  KAKENHI-PROJECT-24340024
[Presentation] Semilinear Hyperbolic Systems Violating the Null Condition2013
- Author(s)
  Soichiro Katayama
- Organizer
  Mexico-Japan Joint Meeting on PDE at Morelia
- Place of Presentation
  メキシコ自治大学モレリアキャンパス
- Data Source
  KAKENHI-PROJECT-23540241
[Presentation] A semilinear hyperbolic system violating the null condition2013
- Author(s)
  片山聡一郎
- Organizer
  第30回九州における偏微分方程式研究集会
- Place of Presentation
  福岡大学
- Year and Date
  2013-01-31
- Invited
- Data Source
  KAKENHI-PROJECT-23540241
[Presentation] 異なる伝播速度を持つ非線形波動方程式系の解の漸近挙動2012
- Author(s)
  片山聡一郎
- Organizer
  函館偏微分方程式研究会(招待講演)
- Place of Presentation
  公立はこだて未来大学
- Data Source
  KAKENHI-PROJECT-23540241
[Presentation] A semilinear hyperbolic system violating the null condition2012
- Author(s)
  Soichiro Katayama
- Organizer
  China-Japan Joint Meeting on PDE at Yanji
- Place of Presentation
  延辺大学 (Yanbian University)
- Data Source
  KAKENHI-PROJECT-23540241
[Presentation] 異なる伝播速度を持つ非線形波動方程式系の解の漸近挙動2012
- Author(s)
  片山聡一郎
- Organizer
  函館偏微分方程式研究会
- Place of Presentation
  公立はこだて未来大学
- Year and Date
  2012-01-28
- Invited
- Data Source
  KAKENHI-PROJECT-23540241
[Presentation] A semilinear hyperbolic system violating the null condition2012
- Author(s)
  Soichiro Katayama
- Organizer
  China-Japan Joint Meeting on PDE at Yanji
- Place of Presentation
  延辺大学
- Year and Date
  2012-09-10
- Data Source
  KAKENHI-PROJECT-23540241
[Presentation] Asymptotic behavior for systems of semilinear wave equations in 3D2010
- Author(s)
  片山聡一郎
- Organizer
  Joint workshop on PDE at Jinhua
- Place of Presentation
  浙江師範大学(Zhejiang Normal University),中華人民共和国
- Year and Date
  2010-09-27
- Data Source
  KAKENHI-PROJECT-20540211
[Presentation] Asymptotic pointwise behavior for systems of semilinear wave equations in three space dimensions2010
- Author(s)
  片山聡一郎
- Organizer
  偏微分方程式姫路研究集会
- Place of Presentation
  イーグレ姫路
- Year and Date
  2010-02-23
- Data Source
  KAKENHI-PROJECT-20540206
[Presentation] Asymptotic behavior for systems of nonlinear wave equations with multiple speeds in 3D2010
- Author(s)
  片山聡一郎
- Organizer
  RIMS研究集会"保存則と幾何学的偏微分方程式とその応用"
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-06-10
- Data Source
  KAKENHI-PROJECT-20540211
[Presentation] Asymptotic behavior for systems of semilinear wave equations in 3D2010
- Author(s)
  片山聡一郎
- Organizer
  Joint workshop on PDE at Jinhua
- Place of Presentation
  浙江師範大学(Zhejiang Normal University,中華人民共和国)
- Year and Date
  2010-09-27
- Data Source
  KAKENHI-PROJECT-20540211
[Presentation] Asymptotic pointwise behavior for systems of semilinear wave equations in three space dimensions2010
- Author(s)
  片山聡一郎
- Organizer
  偏微分方程式姫路研究集会
- Place of Presentation
  イーグレ姫路
- Year and Date
  2010-02-23
- Data Source
  KAKENHI-PROJECT-20540211
[Presentation] Global existence for systems of the nonlinear wave and Klein-Gordon equations in 3D2009
- Author(s)
  片山聡一郎
- Organizer
  7^<th> International ISAAC Congress
- Place of Presentation
  Imperial College London (英国)
- Year and Date
  2009-07-16
- Data Source
  KAKENHI-PROJECT-20540211
[Presentation] 非線型波動方程式とKlein-Gordon方程式の連立系に対する大域解の存在2009
- Author(s)
  片山聡一郎
- Organizer
  第5回非線型の諸問題
- Place of Presentation
  長崎商工会議所
- Year and Date
  2009-09-17
- Data Source
  KAKENHI-PROJECT-20540211
[Presentation] Global existence for systems of the-nonlinear wave and Klein-Gordon equations in 3D2009
- Author(s)
  片山聡一郎
- Organizer
  7^<th> International ISAAC Congress
- Place of Presentation
  Imperial College London
- Year and Date
  2009-07-16
- Data Source
  KAKENHI-PROJECT-20540211
[Presentation] Asymptotic pointwise behavior for systems of semilinear wave equations in three space dimensions2009
- Author(s)
  片山聡一郎
- Organizer
  Linear and Nonlinear Waves, No.7
- Place of Presentation
  ピアザ淡海
- Year and Date
  2009-11-14
- Data Source
  KAKENHI-PROJECT-20540211
[Presentation] 非線形波動方程式系の大域解の存在とnull条件について2008
- Author(s)
  片山聡一郎
- Organizer
  日本数学会2008年度秋季総合分科会函数方程式論分科会特別講演
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-27
- Data Source
  KAKENHI-PROJECT-20540211
[Presentation] 非線形波動方程式系の大域解の存在とnull条件について2008
- Author(s)
  片山聡一郎
- Organizer
  日本数学会2008年度秋季総合分科会(特別講演)
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-27
- Data Source
  KAKENHI-PROJECT-20540206
[Presentation] Asymptotic behavior of global solutions to some systems of semilinear wave equations2008
- Author(s)
  片山聡一郎
- Organizer
  第33回偏微分方程式論札幌シンポジウム
- Place of Presentation
  北海道大学
- Year and Date
  2008-08-27
- Data Source
  KAKENHI-PROJECT-20540211
[Presentation] 非線形波動方程式系の大域解の存在と null条件について2008
- Author(s)
  片山聡一郎
- Organizer
  日本数学会2008年度秋季総合分科会函数方程式論分科会特別講演
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-27
- Data Source
  KAKENHI-PROJECT-20540211

1. HOSHIGA Akira (60261400)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. KUBO Hideo (50283346)

# of Collaborated Projects: 2 results

# of Collaborated Products: 6 results
3. Tohru Ozawa (70204196)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. SUNAGAWA Hideaki (80375394)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
6. KUROKAWA Yuki (50375375)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. TAKAMURA Hiroyuki (40241781)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. NAKAMURA Makoto (70312634)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. DOI Kazuyuki (80608331)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. MACHIHARA Shuji (20346373)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. 門田良信 (90116294)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 森杉馨 (00031807)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. BEZ NEAL (30729843)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 藤原和将 (40868262)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. 杉本充 (60196756)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. 林雅行 (60967850)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 松村昭孝

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Katayama Soichiro 片山 聡一郎

KATAYAMA Soichiro 片山 聡一郎

片山 聡一郎 カタヤマ ソウイチロウ

Research Projects

Research Products

Co-Researchers

Analysis of critical interactions in wave fields

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Structural conditions for global existence of solutions and the asymptotic behavior of global solutions for systems of nonlinear partial differential equations related to nonlinear wavesPrincipal Investigator

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Global existence and the asymptotic behavior for partial diffierential equations concerning nonlinear wavesPrincipal Investigator

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Study on oscillation and singularity in mass resonance

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Global behavior for nonlinear wave

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Global existence and asymptotic behavior for systems of nonlinear hyperbolic equationsPrincipal Investigator

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Research of global behavior of classical solutions for quasilinear Wave equations

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Studies on the sufficient conditions for the global existence of solutions to the exterior problems for nonlinear hyperbolic equationsPrincipal Investigator

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非線形波動方程式系の初期値問題に対する解の存在時間と大域解の存在条件Principal Investigator

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非線形波動に関連する偏微分方程式の初期値問題Principal Investigator

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マルコフ決定過程における分散および期待効用に関する最適化の研究

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[Book] Global Solutions and the Asymptotic Behavior for Nonlinear Wave Equations with Small Initial Data (MSJ Memoirs Volume 36)2017

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Total Pages

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Data Source

[Journal Article] Remarks on weaker null conditions for two kinds od systems of semilinear wave equations in three space dimensions2023

Author(s)

Katayama Soichiro 片山聡一郎

KATAYAMA Soichiro 片山聡一郎

片山聡一郎カタヤマソウイチロウ