Sunagawa Hideaki 砂川秀明

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SUNAGAWA Hideaki 砂川秀明

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Researcher Number	80375394
Other IDs
Affiliation (Current)	2026: 大阪公立大学, 大学院理学研究科, 教授
Affiliation (based on the past Project Information) *help	2022 – 2026: 大阪公立大学, 大学院理学研究科, 教授 2020 – 2021: 大阪市立大学, 大学院理学研究科, 教授 2016 – 2019: 大阪大学, 理学研究科, 准教授 2012 – 2015: 大阪大学, 理学(系)研究科(研究院), 准教授 2014: 大阪大学, 大学院理学研究科, 准教授 … More 2012: 大阪大学, 大学院・理学研究科, 准教授 2010 – 2011: 大阪大学, 理学研究科, 准教授 2010: 大阪大学, 大学院・理学研究科, 准教授 2008: Osaka University, 大学院・理学研究科, 准教授 2008: Osaka University, 大学院理学研究科, 准教授 2007: Osaka University, 大学院・理学研究科, 講師 2006: 筑波大学, 大学院数理物質科学研究科, 助手 Less
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related / Mathematical analysis / Basic analysis Except Principal Investigator Basic analysis / Broad Section B / Mathematical analysis
Keywords	Principal Investigator 非線形シュレディンガー方程式 / 分散型方程式 / 双曲型方程式 / 非線形 / 漸近解析 / シュレディンガー方程式 / 微分型非線形シュレディンガー方程式 / 弱消散構造 / 零構造 / 高周波漸近解析 … More / 波動方程式 / クライン・ゴルドン方程式 / 弱零構造 / 弱い消散構造 / 非線形波動方程式 / 非線形消散 / 非線形消散構造 / ライフスパン / 非線形波動 / 消散構造 / 非線型シュレディンガー方程式 / 零条件 / 関数方程式 … 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 / 時間減衰評価 / 共鳴現象 / 分散型波動方程式 / 双線形形式 / 散乱問題 / クラインーゴルドン方程式系 / シュレデンガー方程式系 / 非線形分散型方程式系 / 散乱状態 / 波動作用素 / スケール不変 / Klein-Gordon / Schredinger / 臨界冪非線形項 / Klein-Gordon方程式系 / Schroedinger方程式系 / 修正波動作用素 / 臨界べき非線形項 / 漸近的振舞い / 分散型波動方程式系 / レゾナンス / 双曲型不動点 / シュレディンガー方程式 / 正跡 / 複素相関数 / 陪特性帯 / 非実効果的双曲型 / 零陪特性帯 / Gevrey空間 / 適切性 / ハミルトン流 / 強双曲型作用素 / 複素数値相関数 / Gevrey適切性 / 零特性帯 / 初期値問題 / lifespan / 平滑化作用 / Fourier積分作用素 / ハミルトン写像 / 非線形波動 / 分散型方程式 / 超局所解析 Less

高周波漸近解析に基づいた非線形双曲型・分散型方程式の研究Principal Investigator
- Principal Investigator
  
  砂川秀明
- Project Period (FY)
  2026 – 2030
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Osaka Metropolitan University
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
高周波漸近解析に基づいた非線形偏微分方程式の研究Principal Investigator
- Principal Investigator
  
  砂川秀明
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Osaka Metropolitan University
  Osaka City University
Null structure and high frequency asymptotic analysis for nonlinear hyperbolic and dispersive equationsPrincipal Investigator
- Principal Investigator
  
  Sunagawa Hideaki
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Osaka City University
  Osaka University
High frequency asymptotic analysis for nonlinear partial differential equationsPrincipal Investigator
- Principal Investigator
  
  Sunagawa Hideaki
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Osaka 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
Asymptotic analysis for systems of dispersive equations
- Principal Investigator
  
  HAYASHI Nakao
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
High frequency asymptotic analysis for nonlinear PDEs of hyperbolic and dispersive typePrincipal Investigator
- Principal Investigator
  
  SUNAGAWA Hideaki
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
Phase Space Analysis of Partial Differential Equations
- Principal Investigator
  
  NISHITANI Tatsuo
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
Studies on the null condition for nonlinear hyperbolic and dispersive equationsPrincipal Investigator
- Principal Investigator
  
  SUNAGAWA Hideaki
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Osaka University
  University of Tsukuba

[Journal Article] Weak dissipativity in derivative nonlinear Schrodinger equations2024
- Author(s)
  砂川秀明
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 2299 Pages: 1-7
- Open Access
- Data Source
  KAKENHI-PROJECT-21K03314
[Journal Article] Recent advances on Schrodinger equations with dissipative nonlinearities2024
- Author(s)
  Chunhua Li, Yoshinori Nishii, Yuji Sagawa, Hideaki Sunagawa
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 未定
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03314
[Journal Article] Large time asymptotics for a cubic nonlinear Schrodinger system in one space dimension, II2021
- Author(s)
  Chunhua Li, Yoshinori Nishii, Yuji Sagawa, Hideaki Sunagawa
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: - Issue: 2
- DOI
  10.3836/tjm/1502179340
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05322
[Journal Article] On the derivative nonlinear Schrodinger equation with weakly dissipative structure2021
- Author(s)
  Chunhua Li, Yoshinori Nishii, Yuji Sagawa, Hideaki Sunagawa
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: - Issue: 2 Pages: 1541-1550
- DOI
  10.1007/s00028-020-00634-6
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05322
[Journal Article] Energy decay for small solutions to semilinear wave equations with weakly dissipative structure2021
- Author(s)
  Yoshinori Nishii, Hideaki Sunagawa, Hiroki Terashita
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 73 Issue: 3 Pages: 767-779
- DOI
  10.2969/jmsj/84148414
- NAID
  130008067986
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05322
[Journal Article] On Agemi-type structural conditions for a system of semilinear wave equations2020
- Author(s)
  Yoshinori Nishii, Hideaki Sunagawa
- Journal Title
  
  Journal of Hyperbolic Differential Equations
  
  Volume: 17 Issue: 03 Pages: 459-473
- DOI
  10.1142/s0219891620500125
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05322
[Journal Article] Large time asymptotics for a cubic nonlinear Schrodinger system in one space dimension2020
- Author(s)
  C.Li, Y.Nishii, Y.Sagawa, H.Sunagawa
- Journal Title
  
  Funkcialaj Ekvacioj
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05322
[Journal Article] Small data global existence for a class of quadratic derivative nonlinear Schrodinger systems in two space dimensions2020
- Author(s)
  Sakoda Daisuke、Sunagawa Hideaki
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 268 Issue: 4 Pages: 1722-1749
- DOI
  10.1016/j.jde.2019.09.032
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05322
[Journal Article] A sharp lower bound for the lifespan of small solutions to the Schrodinger equation with a subcritical power nonlinearity2018
- Author(s)
  Yuji Sagawa, Hideaki Sunagawa, Shunsuke Yasuda
- Journal Title
  
  Differential and Integral Equations
  
  Volume: ー
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05322
[Journal Article] Remarks on derivative nonlinear Schodinger systems with multiple masses2017
- Author(s)
  Chunhua Li, Hideaki Sunagawa
- Journal Title
  
  Proceedings of the conference "Asymptotic Analysis for Nonlinear Dispersive and Wave Equations"
  
  Volume: 未定
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400161
[Journal Article] On Schrodinger systems with cubic dissipative nonlinearities of derivative type2016
- Author(s)
  Chunhua Li, Hideaki Sunagawa
- Journal Title
  
  Nonlinearity
  
  Volume: 29 Issue: 5 Pages: 1537-1563
- DOI
  10.1088/0951-7715/29/5/1537
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400161
[Journal Article] The lifespan of small solutions to cubic derivative nonlinear Schrodinger equations in one space dimension2016
- Author(s)
  Yuji Sagawa, Hideaki Sunagawa
- Journal Title
  
  Discrete and Continuous Dynamical Systems Ser.A
  
  Volume: 未定
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400161
[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] Remarks on decay of small solutions to systems of Klein-Gordon equations with dissipative nonlinearities2014
- Author(s)
  Donghyun Kim, Hideaki Sunagawa
- Journal Title
  
  Nonlinear Analysis: Theory, Methods & Applications
  
  Volume: 97 Pages: 94-105
- DOI
  10.1016/j.na.2013.11.025
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400161
[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 Schrodinger equations in 2D2014
- Author(s)
  Soichiro Katayama, Chunhua Li, Hideaki Sunagawa
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 27 Pages: 301-312
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400161
[Journal Article] Small data blow-up for a system of nonlinear Schrodinger equations2013
- Author(s)
  T. Ozawa, H. Sunagawa
- Journal Title
  
  J. Math. Anal. Appl.
  
  Volume: 399 Pages: 147-155
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25610027
[Journal Article] Small data blow-up for a system of nonlinear Schrodinger equations2013
- Author(s)
  T. Ozawa and H. Sunagawa
- Journal Title
  
  Journal of Mathematical Analysis and Application s
  
  Volume: vol.399 Pages: 147-155
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740089
[Journal Article] Small data blow-up for a system of nonlinear Schrodinger equations2013
- Author(s)
  Tohru Ozawa, Hideaki Sunagawa
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: ３９９ Issue: 1 Pages: 147-155
- DOI
  10.1016/j.jmaa.2012.10.003
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740089, KAKENHI-PROJECT-24224004
[Journal Article] A note on the null condition for quadratic nonlinear Klein-Gord on systems in two space dimensions2012
- Author(s)
  片山聡一郎、小澤徹、砂川秀明
- Journal Title
  
  Communications on Pure and Applied Mathematics
  
  Volume: 65 Issue: 9 Pages: 1285-1302
- DOI
  10.1002/cpa.21392
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740089, KAKENHI-PROJECT-24224004
[Journal Article] The energy decay and asymptotics for a class of semilinear wave equations in twospace dimensions2012
- Author(s)
  S. Katayama,D. Murotani and H.Sunagawa
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: vol.12 Pages: 891-916
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740089
[Journal Article] A note on the null condition for quadratic nonlinear Klein-Gordon systems in twospace dimensions2012
- Author(s)
  S. Katayama, T. Ozawa and H. Sunagawa
- Journal Title
  
  Communications on Pure and Applied Mathematics
  
  Volume: vol.65 Pages: 1285-1302
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740089
[Journal Article] A remark on the algebraic normal form method applied tothe Dirac-Klein- Gordon system in twospace dimensions2012
- Author(s)
  M. Ikeda, A. Shimomura and H.Sunagawa
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: vol.B33 Pages: 87-96
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740089
[Journal Article] A remark on the algebraic normal form method applied to the Dirac-Klein-Gordon system in two space dimensions2012
- Author(s)
  池田正弘、下村明洋、砂川秀明
- Journal Title
  
  数理解析研究所講究録別冊
  
  Volume: (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740089
[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 small amplitude solutions for twodimensional nonlinear Klein-Gordon systems in the presence of mass resonance2011
- Author(s)
  Y. Kawahara and H. Sunagawa
- Journal Title
  
  Journal of Differential Equations
  
  Volume: vol.251 Pages: 2549-2567
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740089
[Journal Article] Global small amplitude solutions for two-dimensional nonlinear Klein-Gordon systems in the presence of mass resonance2011
- Author(s)
  川原雄一朗、砂川秀明
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 251 Issue: 9 Pages: 2549-2567
- DOI
  10.1016/j.jde.2011.04.001
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740089
[Journal Article] On the Schrodinger equation with dissipative nonlinearities of derivative type2008
- Author(s)
  N. Hayashi, P. I. Naumkin, H. Sunagawa
- Journal Title
  
  SIAM J. Math. Anal 40
  
  Pages: 278-291
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740066
[Journal Article] On the Schrodinger equation with dissipative nonlinearities of derivative type2008
- Author(s)
  N.Hayshi, P.I.Naumkin, H.Sunagawa
- Journal Title
  
  SIAM J.Math.Anal. vol 40
  
  Pages: 278-291
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] The lifespan of solutions to nonlinear Schrodinger and Klein-Gordon equations2008
- Author(s)
  H. Sunagawa
- Journal Title
  
  Hokkaido Math. J. vol.37, no.4
  
  Pages: 825-838
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740066
[Journal Article] On the Schrodinger equation with dissipative nonlinearities of derivative type2008
- Author(s)
  N. Hayashi, P. I. Naumkin, H. Sunagawa
- Journal Title
  
  SIAM J. Math. Anal. vol.40, no.1
  
  Pages: 278-291
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740066
[Journal Article] The lifespan of solutions to nonlinear Schrodinger and Klein-Gordon equations2008
- Author(s)
  H. Sunagawa
- Journal Title
  
  Hokkaido Math. J 37
  
  Pages: 825-838
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740066
[Journal Article] The lifespan of solutions to nonlinear Schrodinger and Klein-Gordon equation2008
- Author(s)
  H.Sunagawa
- Journal Title
  
  Hokkaido Math.J. vol 37
  
  Pages: 825-838
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] 非線形Klein-Gordon方程式の解の長時間挙動について2007
- Author(s)
  H. Sunagawa
- Journal Title
  
  数学 59
  
  Pages: 367-379
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204013
[Journal Article] 非線型Klein-Gordon方程式の解の長時間挙動について2007
- Author(s)
  砂川秀明
- Journal Title
  
  日本数学会「数学」第59巻4号
  
  Pages: 367-379
- NAID
  10019989612
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740066
[Journal Article] 非線型Klein-Gordon方程式の解の長時間挙動について2007
- Author(s)
  砂川秀明
- Journal Title
  
  数学 59
  
  Pages: 367-379
- NAID
  10019989612
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740066
[Journal Article] Remarks on global behavior of solutions to nonlinear Schrodinger equations2006
- Author(s)
  Y. Kawahara, H. Sunagawa
- Journal Title
  
  Proc. Japan Acad. Ser. A vol.82, no.8
  
  Pages: 117-122
- NAID
  40015182012
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740066
[Journal Article] Remarks on global behavior of solutions to nonlinear Schrodinger equations2006
- Author(s)
  Y.Kawahara, H.Sunagawa
- Journal Title
  
  Proceedings of the Japan Academy, Series A 82巻8号
  
  Pages: 117-122
- NAID
  40015182012
- Data Source
  KAKENHI-PROJECT-18740066
[Presentation] Nonlinear Schr\"odinger equation with weakly dissipative structure2025
- Author(s)
  砂川秀明
- Organizer
  The Conference on Mathematical Modeling and Theoretical Analysis
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24H00024
[Presentation] Nonlinear Schrodinger equation with weakly dissipative structure2025
- Author(s)
  Hideaki Sunagawa
- Organizer
  The Conference on Mathematical Modeling and Theoretical Analysis
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03314
[Presentation] 弱消散構造を伴う微分型非線形シュレディンガー方程式の解のL^2減衰に関するいくつかの注意2024
- Author(s)
  砂川秀明
- Organizer
  One Day Workshop on PDE in Hirosaki
- Invited
- Data Source
  KAKENHI-PROJECT-21K03314
[Presentation] Remarks on $L^2$-decay of small solutions to derivative nonlinear Schr\"odinger equations with weakly dissipative structure2024
- Author(s)
  砂川秀明
- Organizer
  第8回神楽坂非線形波動研究会
- Invited
- Data Source
  KAKENHI-PROJECT-24H00024
[Presentation] Nonlinear Schrodinger equation with weakly dissipative structure2024
- Author(s)
  Hideaki Sunagawa
- Organizer
  IMVAST-OCAMI Joint Conference on Selected Areas in Mathematics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03314
[Presentation] Nonlinear Schr\"odinger equation with weakly dissipative structure2024
- Author(s)
  砂川秀明
- Organizer
  IMVAST-OCAMI Joint Conference on Selected Areas in Mathematics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24H00024
[Presentation] 弱消散構造を伴う微分型非線形シュレディンガー方程式の解の$L^2$減衰に関するいくつかの注意2024
- Author(s)
  砂川秀明
- Organizer
  One Day Workshop on PDE in Hirosaki
- Invited
- Data Source
  KAKENHI-PROJECT-24H00024
[Presentation] Remarks on L^2-decay of small solutions to derivative nonlinear Schrodinger equations with weakly dissipative structure2024
- Author(s)
  砂川秀明
- Organizer
  第8回神楽坂非線形波動研究会
- Invited
- Data Source
  KAKENHI-PROJECT-21K03314
[Presentation] Upper and lower L^2-decay bounds for a class of derivative nonlinear Schrodinger equations2022
- Author(s)
  Hideaki Sunagawa
- Organizer
  RIMS研究集会「流体と気体の数学解析」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03314
[Presentation] Upper and lower L^2-decay bounds for a class of derivative nonlinear Schrodinger equations2022
- Author(s)
  Hideaki Sunagawa
- Organizer
  Mathematical Analysis of Nonlinear Dispersive and Wave Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03314
[Presentation] On the derivative nonlinear Schrodinger equation with weakly dissipative structure2021
- Author(s)
  Chunhua Li, 西井良徳、佐川侑司、砂川秀明
- Organizer
  日本数学会2021年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-21K03314
[Presentation] On the derivative nonlinear Schrodinger equation with weakly dissipative structure2021
- Author(s)
  Chunhua Li, 西井良徳、佐川侑司、砂川秀明
- Organizer
  日本数学会2021年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K05322
[Presentation] Energy decay for small solutions to semilinear wave equations with weakly dissipative structure2020
- Author(s)
  西井良徳、砂川秀明、寺下拓貴
- Organizer
  日本数学会2020年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K05322
[Presentation] Large time asymptotics for a cubic nonlinear Schrodinger system in one space dimension, II2020
- Author(s)
  Chunhua Li、西井良徳、佐川侑司、砂川秀明
- Organizer
  日本数学会2020年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K05322
[Presentation] Large time asymptotics for a cubic nonlinear Schrodinger system in one space dimension2020
- Author(s)
  Chunhua Li　西井良徳、佐川侑司、砂川秀明
- Organizer
  日本数学会2020年度年会
- Data Source
  KAKENHI-PROJECT-17K05322
[Presentation] 半線形波動方程式系に対するAgemi型の構造条件について2019
- Author(s)
  西井良徳、砂川秀明
- Organizer
  日本数学会2019年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K05322
[Presentation] Small data global existence for a quadratic derivative nonlinear Schrodinger system in two space dimensions2018
- Author(s)
  迫田大輔、砂川秀明
- Organizer
  日本数学会2018年度年会
- Data Source
  KAKENHI-PROJECT-17K05322
[Presentation] Small data global existence for a class of quadratic derivative nonlinear Schrodinger systems in two space dimensions2018
- Author(s)
  Hideaki Sunagawa
- Organizer
  Seminar on PDE with Dissipative Structure 2018
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05322
[Presentation] Small data global existence for a class of quadratic derivative nonlinear Schrodinger systems in two space dimensions2018
- Author(s)
  Hideaki Sunagawa
- Organizer
  RIMS workshop "Harmonic analysis and nonlinear partial differential equations"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05322
[Presentation] A sharp lower bound for the lifespan of small solutions to the Schrodinger equation with a subcritical power nonlinearity2017
- Author(s)
  佐川侑司、砂川秀明、保田舜介
- Organizer
  日本数学会2017年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K05322
[Presentation] On derivative nonlinear Schrodinger systems with multiple masses2017
- Author(s)
  Hideaki Sunagawa
- Organizer
  RIMS workshop "Nonlinear Wave and Dispersive Equations"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05322
[Presentation] Remarks on derivative nonlinear Schrodinger systems with multiple masses2017
- Author(s)
  Chunhua Li, Hideaki Sunagawa
- Organizer
  日本数学会2016年度年会
- Place of Presentation
  首都大学東京
- Year and Date
  2017-03-27
- Data Source
  KAKENHI-PROJECT-25400161
[Presentation] The lifespan of small solutions to cubic derivative nonlinear Schrodinger equations in one space dimension2016
- Author(s)
  Hideaki Sunagawa
- Organizer
  Nonlinear Wave and Dispersive Equations, Kyoto 2016
- Place of Presentation
  京都大学
- Year and Date
  2016-09-06
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400161
[Presentation] The lifespan of small solutions to cubic derivative nonlinear Schrodinger equations in one space dimension2016
- Author(s)
  佐川侑司、砂川秀明
- Organizer
  日本数学会2016年度年会
- Place of Presentation
  筑波大学（茨城県つくば市）
- Year and Date
  2016-03-19
- Data Source
  KAKENHI-PROJECT-25400161
[Presentation] Agemi-type structural condition for systems of nonlinear wave equations2015
- Author(s)
  Hideaki Sunagawa
- Organizer
  第32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　（福岡市早良区）
- Year and Date
  2015-01-30
- Invited
- Data Source
  KAKENHI-PROJECT-25400161
[Presentation] 微分型の非線形消散項を伴うシュレディンガー方程式系について2015
- Author(s)
  砂川秀明、Chunhua Li
- 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（京都市左京区）
- Year and Date
  2015-09-15
- Data Source
  KAKENHI-PROJECT-25400161
[Presentation] On Schrodinger systems with cubic dissipative nonlinearities of derivative type2015
- Author(s)
  Hideaki Sunagawa
- Organizer
  Workshop on partial differential equations and numerical analysis
- Place of Presentation
  延辺大学（中国、延吉）
- Year and Date
  2015-07-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400161
[Presentation] Null structure in derivative nonlinear Schrodinger systems2014
- Author(s)
  Hideaki Sunagawa
- Organizer
  1st Partial Differential Equations Seminar in Yanbian University
- Place of Presentation
  延辺大学　（中国、延吉市）
- Year and Date
  2014-09-17
- Invited
- Data Source
  KAKENHI-PROJECT-25400161
[Presentation] 微分型非線形シュレディンガー方程式系の零構造について2012
- Author(s)
  砂川秀明
- Organizer
  第10回浜松編微分方程式研究集会
- Place of Presentation
  静岡大学
- Year and Date
  2012-12-19
- Data Source
  KAKENHI-PROJECT-22740089
[Presentation] Small data blow-up for NLS systems2012
- Author(s)
  H.Sunagawa
- Organizer
  China-Japan Joint Meeting on PDE at Yanji
- Place of Presentation
  延辺大学(中国)
- Year and Date
  2012-09-10
- Data Source
  KAKENHI-PROJECT-22740089
[Presentation] Quadratic nonlinear Schrodinger systems in the presence of mass resonance2012
- Author(s)
  砂川秀明
- Organizer
  微分方程式の総合的研究
- Place of Presentation
  京都大学
- Year and Date
  2012-12-15
- Data Source
  KAKENHI-PROJECT-22740089
[Presentation] On quadratic nonlinear Klein-Gordon systems in two space dimensions2011
- Author(s)
  砂川秀明
- 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(招待講演)
- Year and Date
  2011-07-04
- Data Source
  KAKENHI-PROJECT-22740089
[Presentation] On quadratic nonlinear Klein-Gordon systems in two space dimensions2011
- Author(s)
  砂川秀明
- Organizer
  The 4th MSJ-SI "Nonlinear Dynamics in Partial Differential Equations"
- Place of Presentation
  九州大学医学部百年講堂(招待講演)
- Year and Date
  2011-09-18
- Data Source
  KAKENHI-PROJECT-22740089
[Presentation] On quadratic nonlinear Klein-Gordon systems in twospace dimensions2011
- Author(s)
  H.Sunagawa
- Organizer
  4th MSJ-SI: Nonlinear dynamics in partial differential equations
- Place of Presentation
  九州大学
- Year and Date
  2011-09-18
- Data Source
  KAKENHI-PROJECT-22740089
[Presentation] 「On quadratic nonlinear Klein-Gordon systems in twospace dimensions2011
- Author(s)
  H.Sunagawa
- 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
  2011-07-04
- Data Source
  KAKENHI-PROJECT-22740089
[Presentation] Global small amplitude solutions for two-dimensional nonlinear Klein-Gordon systems in the presence of mass resonance2010
- Author(s)
  H.Sunagawa
- Organizer
  Joint workshop on PDE at Jinhua
- Place of Presentation
  浙江師範大学(中国)
- Year and Date
  2010-09-27
- Data Source
  KAKENHI-PROJECT-22740089
[Presentation] Global small amplitude solutions for two dimensionlal nonlinear Klein-Gordon systems in the presence of mass resonance2010
- Author(s)
  砂川秀明
- Organizer
  Joint Workshop on PDE at Jinhua
- Place of Presentation
  浙江師範大学(中国)
- Year and Date
  2010-09-27
- Data Source
  KAKENHI-PROJECT-22740089
[Presentation] 双曲型および分散型方程式の非線型摂動について2008
- Author(s)
  砂川秀明
- Organizer
  奈良偏微分方程式研究会
- Place of Presentation
  奈良女子大学
- Year and Date
  2008-03-20
- Data Source
  KAKENHI-PROJECT-18740066
[Presentation] On the Schrodinger equation with dissipative nonlinearities of derivative type2007
- Author(s)
  H. Sunagawa
- Organizer
  International conference on nonlinear wave equations
- Place of Presentation
  北海道大学
- Year and Date
  2007-08-27
- Data Source
  KAKENHI-PROJECT-18740066
[Presentation] On the Schroedinger equation with dissipative nonlinearities of derivative type2007
- Author(s)
  砂川秀明
- Organizer
  Nonlinear Wave Equations
- Place of Presentation
  北海道大学
- Year and Date
  2007-08-27
- Data Source
  KAKENHI-PROJECT-18740066
[Presentation] On cubic NLS and NLKG with dissipative structure2007
- Author(s)
  H. Sunagawa
- Organizer
  JAMI conference on nonlinear dispersive equations
- Place of Presentation
  ジョンズホプキンス大学
- Year and Date
  2007-03-17
- Data Source
  KAKENHI-PROJECT-18740066
[Presentation] Lifespanの漸近評価から見た非線型Schrodinger方程式とその周辺2006
- Author(s)
  砂川秀明
- Organizer
  日本数学会2006 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
  大阪市立大学
- Year and Date
  2006-09-22
- Data Source
  KAKENHI-PROJECT-18740066
[Presentation] Null structure in a system of quadratic derivative nonlinear Schrodinger equations
- Author(s)
  Hideaki Sunagawa
- Organizer
  Mexico-Japan joint meeting on PDE at Morelia
- Place of Presentation
  メキシコ国立自治大学
- Invited
- Data Source
  KAKENHI-PROJECT-25400161
[Presentation] Null structure in a system of quadratic derivative nonlinear Schrodinger equations
- Author(s)
  Hideaki Sunagawa
- Organizer
  第3回弘前非線形方程式研究会
- Place of Presentation
  弘前大学
- Invited
- Data Source
  KAKENHI-PROJECT-25400161
[Presentation] Small data blow-up for NLS systems
- Author(s)
  Hideaki Sunagawa
- Organizer
  China-Japan Joint Meeting on PDE at Yanji
- Place of Presentation
  Yanbian University
- Invited
- Data Source
  KAKENHI-PROJECT-22740089

1. HAYASHI Nakao (30173016)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. SUGIMOTO Mitsuru (60196756)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. Tohru Ozawa (70204196)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
4. TANAKA Kazunaga (20188288)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. KATAYAMA Soichiro (70283942)

# of Collaborated Projects: 2 results

# of Collaborated Products: 2 results
6. NISHITANI Tatsuo (80127117)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. DOI Shinichi (00243006)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. TAKUWA Hideki (80403111)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. UMEDA Tomio (20160319)

# of Collaborated Projects: 1 results

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11. IWASAKI Chisato (30028261)

# of Collaborated Projects: 1 results

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12. HOSHIRO Toshihiko (40211544)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. FUJIIE SETSURO (00238536)

# of Collaborated Projects: 1 results

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14. TOMITA Naohito (10437337)

# of Collaborated Projects: 1 results

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15. MACHIHARA Shuji (20346373)

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16. BEZ NEAL (30729843)

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17. 藤原和将 (40868262)

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18. 林雅行 (60967850)

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19. 松村昭孝

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Sunagawa Hideaki 砂川 秀明

SUNAGAWA Hideaki 砂川 秀明

Research Projects

Research Products

Co-Researchers

高周波漸近解析に基づいた非線形双曲型・分散型方程式の研究Principal Investigator

Principal Investigator

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Review Section

Research Institution

Analysis of critical interactions in wave fields

Principal Investigator

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Review Section

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高周波漸近解析に基づいた非線形偏微分方程式の研究Principal Investigator

Principal Investigator

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Review Section

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Null structure and high frequency asymptotic analysis for nonlinear hyperbolic and dispersive equationsPrincipal Investigator

Principal Investigator

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High frequency asymptotic analysis for nonlinear partial differential equationsPrincipal Investigator

Principal Investigator

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Study on oscillation and singularity in mass resonance

Principal Investigator

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Asymptotic analysis for systems of dispersive equations

Principal Investigator

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High frequency asymptotic analysis for nonlinear PDEs of hyperbolic and dispersive typePrincipal Investigator

Principal Investigator

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Phase Space Analysis of Partial Differential Equations

Principal Investigator

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Studies on the null condition for nonlinear hyperbolic and dispersive equationsPrincipal Investigator

Principal Investigator

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Research Institution

[Journal Article] Weak dissipativity in derivative nonlinear Schrodinger equations2024

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[Journal Article] Recent advances on Schrodinger equations with dissipative nonlinearities2024

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[Journal Article] Large time asymptotics for a cubic nonlinear Schrodinger system in one space dimension, II2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the derivative nonlinear Schrodinger equation with weakly dissipative structure2021

Author(s)

Sunagawa Hideaki 砂川秀明

SUNAGAWA Hideaki 砂川秀明