Sato Takuya 佐藤拓也

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佐藤拓也サトウタクヤ

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Researcher Number	80910835
Other IDs
Affiliation (Current)	2025: 愛媛大学, 理工学研究科(理学系), 助教
Affiliation (based on the past Project Information) *help	2023: 熊本大学, 大学院先端科学研究部(工), 特別研究員(PD) 2022: 東北大学, 理学研究科, 特任研究員
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related
Keywords	Principal Investigator 大域挙動 / 非線形消散型偏微分方程式 / 終端値問題 / 適切性 / 時間大域挙動 / 初期値境界値問題 / 実解析性 / 時間大域解 / 非線形シュレディンガー方程式 / 減衰評価 / 解析性 / 長時間挙動 / 消散型非線形シュレディンガー方程式

非線形消散型偏微分方程式に対する解の解析性と大域挙動の解明Principal Investigator
- Principal Investigator
  
  佐藤拓也
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Kumamoto University
  Tohoku University

All 2024 2023 2022

All Journal Article Presentation

[Journal Article] L2-Decay of Solutions to Dissipative Nonlinear Schr?dinger Equation with Large Initial Data2024
- Author(s)
  Gerelmaa Jadamba、Kita Naoyasu、Sato Takuya
- Journal Title
  
  Journal of Mathematical Sciences
  
  Volume: 279 Issue: 6 Pages: 814-823
- DOI
  10.1007/s10958-024-07062-8
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13937, KAKENHI-PROJECT-23KJ1765
[Journal Article] Critical exponent for global existence of solutions to the Schredinger equation with a nonlinear boundary condition2023
- Author(s)
  Hayashi Nakao、Li Chunhua、Ogawa Takayoshi、Sato Takuya
- Journal Title
  
  Nonlinear Analysis
  
  Volume: 230 Pages: 113229-113229
- DOI
  10.1016/j.na.2023.113229
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03680, KAKENHI-PROJECT-20K20284, KAKENHI-PROJECT-22K13937, KAKENHI-PROJECT-19H05597
[Journal Article] Asymptotic behavior of solutions to a dissipative nonlinear Schr?dinger equation with time-dependent harmonic potentials2023
- Author(s)
  Kawamoto Masaki、Sato Takuya
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 345 Pages: 418-446
- DOI
  10.1016/j.jde.2022.11.034
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14328, KAKENHI-PROJECT-22K13937
[Journal Article] $$L^2$$-Decay Rate for Special Solutions to Critical Dissipative Nonlinear Schr?dinger Equations2023
- Author(s)
  Sato Takuya
- Journal Title
  
  Annales Henri Poincar?
  
  Volume: 25 Issue: 2 Pages: 1693-1709
- DOI
  10.1007/s00023-023-01403-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K13937, KAKENHI-PROJECT-23KJ1765
[Journal Article] Optimal L 2 -decay of solutions to a cubic dissipative nonlinear Schrodinger equation2022
- Author(s)
  Naoyasu Kita、Takuya Sato
- Journal Title
  
  Asymptotic Analysis
  
  Volume: 129 Issue: 3-4 Pages: 505-517
- DOI
  10.3233/asy-211738
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K13937
[Journal Article] Optimal $$L^2$$-decay of solutions to a nonlinear Schrodinger equation with sub-critical dissipative nonlinearity2022
- Author(s)
  Kita Naoyasu、Sato Takuya
- Journal Title
  
  Nonlinear Differential Equations and Applications NoDEA
  
  Volume: 29 Issue: 4 Pages: 41-41
- DOI
  10.1007/s00030-022-00772-5
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K13937, KAKENHI-PROJECT-17K05305, KAKENHI-PROJECT-18K03370
[Journal Article] Large time behavior of solutions to the critical dissipative nonlinear Schrodinger equation with large data2022
- Author(s)
  Sato Takuya
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: 22 Issue: 3
- DOI
  10.1007/s00028-022-00815-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K13937
[Presentation] 非線形消散型シュレディンガー方程式に対する解析的な解の長時間挙動2024
- Author(s)
  佐藤拓也
- Organizer
  第74回南大阪応用数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K13937
[Presentation] Long time behavior of solutions to dissipative nonlinear Schr"odinger equations in the analytic class2024
- Author(s)
  佐藤拓也
- Organizer
  松山解析セミナー 2024
- Invited
- Data Source
  KAKENHI-PROJECT-22K13937
[Presentation] 非線形消散型シュレディンガー方程式に対する実解析的な解の質量減衰オーダー2024
- Author(s)
  佐藤拓也
- Organizer
  第7回 PDE Workshop in Miyazaki
- Invited
- Data Source
  KAKENHI-PROJECT-22K13937
[Presentation] Optimal $L^2$-decay rate of solutions to dissipative nonlinear Schr"odinger equations in the analytic class2024
- Author(s)
  佐藤拓也
- Organizer
  日本数学会2024年度年会
- Data Source
  KAKENHI-PROJECT-22K13937
[Presentation] $L^2$-decay rate for solutions to critical dissipative nonlinear Schr"odinger equations2024
- Author(s)
  佐藤拓也
- Organizer
  Japan-Mongolia Joint Workshop 2024
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13937
[Presentation] Lower decay estimate of solutions to critical dissipative nonlinear Schr"odinger equations2023
- Author(s)
  佐藤拓也
- Organizer
  合宿型研究集会「非線型分散型・双曲型偏微分方程式の解の長時間挙動」
- Invited
- Data Source
  KAKENHI-PROJECT-22K13937
[Presentation] The initial boundary value problem of nonlinear Schrodinger equations with a nonlinear Neumann boundary condition2023
- Author(s)
  佐藤拓也
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-22K13937
[Presentation] Optimal mass decay of solutions to nonlinear dissipative Schr"odigner equations in the analytic class2023
- Author(s)
  佐藤拓也
- Organizer
  信州若里偏微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K13937
[Presentation] Long time behavior of large solutions to dissipative nonlinear Schr"odinger equations with critical power nonlinearity2023
- Author(s)
  佐藤拓也
- Organizer
  熊本大学応用解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K13937
[Presentation] The initial boundary value problem for the nonlinear Schrodinger equation with the nonlinear Neumann boundary condition in one space dimension2023
- Author(s)
  Takuya Sato
- Organizer
  第24回北東数学解析研究会
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13937
[Presentation] $L^2$-lower decay estimate of special solutions to dissipative nonlinear Schr"odinger equations2023
- Author(s)
  佐藤拓也
- Organizer
  山形発展方程式討論会2023
- Invited
- Data Source
  KAKENHI-PROJECT-22K13937
[Presentation] Asymptotic behavior of large solutions to dissipative nonlinear Schr"odinger equations in the analytic class2023
- Author(s)
  佐藤拓也
- Organizer
  日本数学会2023年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-22K13937
[Presentation] Optimal $L^2$-decay of solutions to nonlinear Schr"odinger equations with a long-range dissipative nonlinearity2023
- Author(s)
  佐藤拓也
- Organizer
  International conference on applied science and engineering 2023 (ICASE 2023)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13937
[Presentation] Mass decay rate of solutions to dissipative nonlinear Schr"odinger equations with large data2023
- Author(s)
  佐藤拓也
- Organizer
  第7回神楽坂非線形波動研究会
- Invited
- Data Source
  KAKENHI-PROJECT-22K13937
[Presentation] On the mass decay of solutions to dissipative nonlinear Schrodinger equations2022
- Author(s)
  佐藤拓也
- Organizer
  京都大学NLPDEセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K13937
[Presentation] Initial boundary value problem for the nonlinear Schrodinger equation in the half-line with a nonlinear boundary condition2022
- Author(s)
  佐藤拓也
- Organizer
  RIMS共同研究 (公開型) 偏微分方程式の臨界現象と正則性理論及び漸近解析
- Invited
- Data Source
  KAKENHI-PROJECT-22K13937
[Presentation] Optimal mass decay of solutions to nonlinear Schrodinger equations with a critical dissipative nonlinearity2022
- Author(s)
  Takuya Sato
- Organizer
  Fundamental Problems in Mathematical and Theoretical Physics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13937
[Presentation] Optimal mass decay of solutions to dissipative nonlinear Schrodinger equations with a sub-critical nonlinearity2022
- Author(s)
  佐藤拓也
- Organizer
  解析学研究セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K13937
[Presentation] Optimal $L^2$-decay of solutions to dissipative nonlinear Schrodinger equations with a critical cubic nonlinearity2022
- Author(s)
  佐藤拓也
- Organizer
  日本数学会2022年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-22K13937
[Presentation] Optimal mass decay of solutions to dissipative nonlinear Schrodinger equations2022
- Author(s)
  佐藤拓也
- Organizer
  RIMS共同研究 (グループ型A) 線形及び非線形分散型方程式に関する多角的研究
- Invited
- Data Source
  KAKENHI-PROJECT-22K13937
[Presentation] Asymptotic behavior of solutions to dissipative nonlinear Schrodinger equations2022
- Author(s)
  佐藤拓也
- Organizer
  津田塾大学 PDE Workshop
- Invited
- Data Source
  KAKENHI-PROJECT-22K13937

1. 林仲夫

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
2. 川本昌紀

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Sato Takuya 佐藤 拓也

佐藤 拓也 サトウ タクヤ

Research Projects

Research Products

Co-Researchers

非線形消散型偏微分方程式に対する解の解析性と大域挙動の解明Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] L2-Decay of Solutions to Dissipative Nonlinear Schr?dinger Equation with Large Initial Data2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Critical exponent for global existence of solutions to the Schredinger equation with a nonlinear boundary condition2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Asymptotic behavior of solutions to a dissipative nonlinear Schr?dinger equation with time-dependent harmonic potentials2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] $$L^2$$-Decay Rate for Special Solutions to Critical Dissipative Nonlinear Schr?dinger Equations2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Optimal L 2 -decay of solutions to a cubic dissipative nonlinear Schrodinger equation2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Optimal $$L^2$$-decay of solutions to a nonlinear Schrodinger equation with sub-critical dissipative nonlinearity2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Large time behavior of solutions to the critical dissipative nonlinear Schrodinger equation with large data2022

Author(s)

Journal Title

DOI

Data Source

[Presentation] 非線形消散型シュレディンガー方程式に対する解析的な解の長時間挙動2024

Author(s)

Organizer

Data Source

[Presentation] Long time behavior of solutions to dissipative nonlinear Schr"odinger equations in the analytic class2024

Author(s)

Organizer

Data Source

[Presentation] 非線形消散型シュレディンガー方程式に対する実解析的な解の質量減衰オーダー2024

Author(s)

Organizer

Data Source

[Presentation] Optimal $L^2$-decay rate of solutions to dissipative nonlinear Schr"odinger equations in the analytic class2024

Author(s)

Organizer

Data Source

[Presentation] $L^2$-decay rate for solutions to critical dissipative nonlinear Schr"odinger equations2024

Author(s)

Organizer

Data Source

[Presentation] Lower decay estimate of solutions to critical dissipative nonlinear Schr"odinger equations2023

Author(s)

Organizer

Data Source

[Presentation] The initial boundary value problem of nonlinear Schrodinger equations with a nonlinear Neumann boundary condition2023

Author(s)

Organizer

Data Source

[Presentation] Optimal mass decay of solutions to nonlinear dissipative Schr"odigner equations in the analytic class2023

Author(s)

Organizer

Data Source

[Presentation] Long time behavior of large solutions to dissipative nonlinear Schr"odinger equations with critical power nonlinearity2023

Author(s)

Sato Takuya 佐藤拓也

佐藤拓也サトウタクヤ