Hirayama Hiroyuki 平山浩之

Researcher Number	90748328
Other IDs
Affiliation (Current)	2025: 宮崎大学, 教育学部, 准教授
Affiliation (based on the past Project Information) *help	2025: 宮崎大学, 教育学部, 准教授 2020 – 2023: 宮崎大学, 教育学部, 准教授 2019: 宮崎大学, キャリアマネジメント推進機構, 講師 2017 – 2018: 宮崎大学, テニュアトラック推進機構, 講師
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related / Mathematical analysis Except Principal Investigator Transformative Research Areas, Section (IV) / Basic Section 12020:Mathematical analysis-related
Keywords	Principal Investigator 適切性 / 安定性 / 非線形シュレディンガー方程式 / 共鳴 / 初期値問題 / 孤立波解 / 非線形シュレディンガー方程式系 / 保存則 / 基底状態 / 孤立波 … More / 定常問題 / 分散型 / KdV方程式 / 散逸項 / Schrodinger方程式 / 漸近挙動 / Burgers方程式 / Zakharov-Kuznetsov方程式 / 4階シュレディンガー方程式 / 非線型シュレディンガー方程式 / エネルギー法 / 散逸性 / 分散性 / 共鳴構造 / 非線形偏微分方程式 / 非線形分散型方程式 … More Except Principal Investigator データ駆動 / クープマン作用素 / 力学系 / 適切性 / 非線形偏微分方程式 / 局所可解性 / 非線形発展方程式 / 非線形熱方程式 / 一意存在性 / ソボレフ空間 / 小さな初期値 / 時間大域解 / stratified Lie 群 / minimal regularity / 初期値問題 / 半線形熱方程式 / stratified Lie groups Less

Development of Global Well-Posedness Theory for Nonlinear Partial Differential Equations and Its Application to Data-Driven Research
- Principal Investigator
  
  池田正弘
- Project Period (FY)
  2025 – 2027
- Research Category
  
  Grant-in-Aid for Transformative Research Areas (B)
- Review Section
  
  Transformative Research Areas, Section (IV)
- Research Institution
  The University of Osaka
Research on behavior of solution to system of nonlinear Schr"odinger equations by focusing on resonance structurePrincipal Investigator
- Principal Investigator
  
  平山浩之
- Project Period (FY)
  2025 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  University of Miyazaki
Lie 群構造をもつ非線形発展方程式の可解性の解明
- Principal Investigator
  
  岡康之
- Project Period (FY)
  2021 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Daido University
パラメーターを含む非線形分散型方程式の連立系に対する時間大域的可解性についてPrincipal Investigator
- Principal Investigator
  
  平山浩之
- Project Period (FY)
  2021 – 2024
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  University of Miyazaki
Solvability of nonlinear dispersive equations with complicated resonance structurePrincipal Investigator
- Principal Investigator
  
  Hirayama Hiroyuki
- Project Period (FY)
  2017 – 2022
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  University of Miyazaki

All 2024 2023 2022 2021 2020 2019 2018 2017

All Journal Article Presentation

[Journal Article] A remark on the well-posedness for a system of quadratic derivative nonlinear Schr?dinger equations2022
- Author(s)
  Hirayama Hiroyuki、Kinoshita Shinya、Okamoto Mamoru
- Journal Title
  
  Communications on Pure and Applied Analysis
  
  Volume: 21 Issue: 10 Pages: 3309-3334
- DOI
  10.3934/cpaa.2022101
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K14342, KAKENHI-PROJECT-22KJ0446, KAKENHI-PROJECT-17K14220
[Journal Article] Well-posedness for a system of quadratic derivative nonlinear Schr"odinger equations in almost critical spaces2021
- Author(s)
  Hirayama Hiroyuki、Kinoshita Shinya、Okamoto Mamoru
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 499 Issue: 2 Pages: 125028-125028
- DOI
  10.1016/j.jmaa.2021.125028
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14220, KAKENHI-PROJECT-20K14342
[Journal Article] Well-posedness for the fourth-order Schr\"odinger equation with third order derivative nonlinearities2021
- Author(s)
  Hirayama Hiroyuki、Ikeda Masahiro、Tanaka Tomoyuki
- Journal Title
  
  Nonlinear Differential Equations and Applications NoDEA
  
  Volume: 28 Issue: 5
- DOI
  10.1007/s00030-021-00707-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20J12750, KAKENHI-PROJECT-17K14220, KAKENHI-PROJECT-19K14581
[Journal Article] Well-Posedness for a system of quadratic derivative nonlinear schr¨odinger equations with radial initial data2020
- Author(s)
  Hirayama Hiroyuki、Kinoshita Shinya、Okamoto Mamoru
- Journal Title
  
  Annales Henri Poincare
  
  Volume: 21 Issue: 8 Pages: 2611-2636
- DOI
  10.1007/s00023-020-00931-3
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14220, KAKENHI-PROJECT-20K14342
[Journal Article] Local and global well-posedness for the 2D Zakharov-Kuznetsov-Burgers equation in low regularity Sobolev space2019
- Author(s)
  Hirayama Hiroyuki
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 印刷中 Issue: 7 Pages: 4089-4116
- DOI
  10.1016/j.jde.2019.04.030
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14220
[Journal Article] Sharp bilinear estimates and its application to a system of quadratic derivative nonlinear Schrodinger equations2019
- Author(s)
  Hirayama Hiroyuki、Kinoshita Shinya
- Journal Title
  
  Nonlinear Analysis
  
  Volume: 178 Pages: 205-226
- DOI
  10.1016/j.na.2018.07.013
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14220
[Presentation] Variational problems for the system of nonlinear Schroedinger equations with quadratic derivative nonlinearities2024
- Author(s)
  平山浩之
- Organizer
  Takamatsu workshop in differential equations and related topics
- Invited
- Data Source
  KAKENHI-PROJECT-21K13825
[Presentation] Existence and stability of the ground states to the system of nonlinear Schroedinger equations with derivative nonlinearity2023
- Author(s)
  平山浩之
- Organizer
  九州関数方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13825
[Presentation] xistence and stability of the ground state of the system of nonlinear Schroedinger equations with derivative nonlinearity2023
- Author(s)
  Hiroyuki Hirayama
- Organizer
  Workshop on Variational Methods and Dispersive Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13825
[Presentation] 一般化KP-Burgers方程式の解の長時間挙動および時間減衰評価の最良性について2023
- Author(s)
  平山浩之
- Organizer
  Critical Exponent and Nonlinear Partial Differential Equations 2023
- Invited
- Data Source
  KAKENHI-PROJECT-17K14220
[Presentation] 一般化KP-Burgers方程式の初期値問題の解の長時間挙動と最良な減衰評価について2023
- Author(s)
  福田一貴, 平山浩之
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-17K14220
[Presentation] Existence and stability of the ground states to the system of nonlinear Schroedinger equations with derivative nonlinearity2023
- Author(s)
  平山浩之
- Organizer
  応用解析研究会
- Invited
- Data Source
  KAKENHI-PROJECT-21K13825
[Presentation] 微分型の非線形項を持つ非線形シュレディンガー方程式系の基底状態の存在と安定性について2023
- Author(s)
  平山浩之
- Organizer
  大阪大学微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13825
[Presentation] 微分型の非線形項を持つ非線形シュレディンガー方程式系の基底状態の存在と安定性について2023
- Author(s)
  平山浩之、池田正弘
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-21K13825
[Presentation] 微分型非線形シュレディンガー方程式系の基底状態の存在と安定性について2022
- Author(s)
  平山浩之
- Organizer
  第3回大同大学若手微分方程式セミナー
- Data Source
  KAKENHI-PROJECT-21K13825
[Presentation] 微分型非線形シュレディンガー方程式系の基底状態の存在と安定性について2022
- Author(s)
  平山浩之
- Organizer
  第181回神楽坂解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13825
[Presentation] 微分型非線形シュレディンガー方程式系のほとんど最良なソボレフにおける適切性について2021
- Author(s)
  平山浩之
- Organizer
  第60回実函数論・函数解析学合同シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-17K14220
[Presentation] 微分型非線形シュレディンガー方程式系の適切性に対する最良ソボレフ指数について2021
- Author(s)
  平山浩之, 木下真也, 岡本葵
- Organizer
  日本数学会2021年度年会
- Data Source
  KAKENHI-PROJECT-17K14220
[Presentation] Well-posedness for the nonlinear fourth order Schr"odinger equation with third order derivative nonlinearities2021
- Author(s)
  平山浩之
- Organizer
  研究集会「微分方程式の総合的研究」
- Invited
- Data Source
  KAKENHI-PROJECT-17K14220
[Presentation] Well-posedness for the fourth-order Schr¨odinger equation with third order derivative nonlinearities2020
- Author(s)
  田中智之, 平山浩之, 池田正弘
- Organizer
  日本数学会2020年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K14220
[Presentation] 非線形シュレディンガー方程式系の適切性に関する種々の結果について2019
- Author(s)
  平山浩之
- Organizer
  第141回日本数学会九州支部例会
- Invited
- Data Source
  KAKENHI-PROJECT-17K14220
[Presentation] Well-posedness for a system of quadratic derivative nonlinear Schrodinger equations with radial initial data2019
- Author(s)
  平山浩之
- Organizer
  Nonlinear Dispersive Equations in Kumamoto, 2019
- Invited
- Data Source
  KAKENHI-PROJECT-17K14220
[Presentation] Well-posedness for a system of quadratic derivative nonlinear Schrodinger equations with radial initial data2019
- Author(s)
  平山浩之
- Organizer
  北海道大学偏微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K14220
[Presentation] Well-posedness for a system of quadratic derivative nonlinear Schrodinger equations with radial initial data2019
- Author(s)
  Hiroyuki Hirayama
- Organizer
  International Workshop on “Fundamental Problems in Mathematical and Theoretical Physics”
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14220
[Presentation] Well-posedness results for a system of quadratic derivative nonlinear Schrodinger equations2019
- Author(s)
  平山浩之
- Organizer
  上智大学数学談話会
- Invited
- Data Source
  KAKENHI-PROJECT-17K14220
[Presentation] 球対称な初期値に対する非線形シュレディンガー方程式系の適切性について2019
- Author(s)
  平山浩之、木下真也、岡本葵
- Organizer
  日本数学会2019年度年会
- Data Source
  KAKENHI-PROJECT-17K14220
[Presentation] Well-posedness for the Zakharov-Kuznetsov-Burgers equation in two space dimensions2018
- Author(s)
  Hiroyuki Hirayama
- Organizer
  The Ninth International Couference on Information
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14220
[Presentation] 非線形シュレディンガー方程式系に対する双線形評価とその適切性への応用2018
- Author(s)
  木下真也、平山浩之
- Organizer
  日本数学会2018年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K14220
[Presentation] Sharp well-posedness for system of quadratic derivative nonlinear Schrodinger equations2018
- Author(s)
  平山浩之
- Organizer
  RIMS共同研究非線形波動及び分散型方程式の研究
- Invited
- Data Source
  KAKENHI-PROJECT-17K14220
[Presentation] Well-posedness for the Zakharov-Kuznetsov-Burgers equation in two space dimensions2018
- Author(s)
  平山浩之
- Organizer
  名古屋大学微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K14220
[Presentation] Well-posedness for the Zakharov-Kuznetsov-Burgers equation in two space dimensions2018
- Author(s)
  平山浩之
- Organizer
  大阪大学微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K14220
[Presentation] 空間2次元上のZakharov-Kuznetsov-Burgers方程式の適切性について2018
- Author(s)
  平山浩之
- Organizer
  日本数学会2018年度年会
- Data Source
  KAKENHI-PROJECT-17K14220
[Presentation] Well-posedness for the Zakharov-Kuznetsov-Burgers equation in two space dimensions2017
- Author(s)
  Hiroyuki Hirayama
- Organizer
  Ito Workshop in Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14220

1. 岡康之 (70625079)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
2. 池田正弘 (00749690)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. 町原秀二 (20346373)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. 菊池弘明 (00612277)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 若杉勇太 (20771140)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 千頭昇 (60789006)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 内田俊 (60777986)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 古屋貴士 (00883696)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. 磯部伸 (20998512)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. 岡本葵

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Hirayama Hiroyuki 平山 浩之

Research Projects

Research Products

Co-Researchers

Development of Global Well-Posedness Theory for Nonlinear Partial Differential Equations and Its Application to Data-Driven Research

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Research on behavior of solution to system of nonlinear Schr"odinger equations by focusing on resonance structurePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Lie 群構造をもつ非線形発展方程式の可解性の解明

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

パラメーターを含む非線形分散型方程式の連立系に対する時間大域的可解性についてPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Solvability of nonlinear dispersive equations with complicated resonance structurePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] A remark on the well-posedness for a system of quadratic derivative nonlinear Schr?dinger equations2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Well-posedness for a system of quadratic derivative nonlinear Schr"odinger equations in almost critical spaces2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Well-posedness for the fourth-order Schr\"odinger equation with third order derivative nonlinearities2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Well-Posedness for a system of quadratic derivative nonlinear schr¨odinger equations with radial initial data2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Local and global well-posedness for the 2D Zakharov-Kuznetsov-Burgers equation in low regularity Sobolev space2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Sharp bilinear estimates and its application to a system of quadratic derivative nonlinear Schrodinger equations2019

Author(s)

Journal Title

DOI

Data Source

[Presentation] Variational problems for the system of nonlinear Schroedinger equations with quadratic derivative nonlinearities2024

Author(s)

Organizer

Data Source

[Presentation] Existence and stability of the ground states to the system of nonlinear Schroedinger equations with derivative nonlinearity2023

Author(s)

Organizer

Data Source

[Presentation] xistence and stability of the ground state of the system of nonlinear Schroedinger equations with derivative nonlinearity2023

Author(s)

Organizer

Data Source

[Presentation] 一般化KP-Burgers方程式の解の長時間挙動および時間減衰評価の最良性について2023

Author(s)

Organizer

Data Source

Hirayama Hiroyuki 平山浩之