Wakasa Kyouhei 若狭恭平

Researcher Number	60783404
Other IDs
Affiliation (Current)	2025: 室蘭工業大学, 大学院工学研究科, 准教授
Affiliation (based on the past Project Information) *help	2019 – 2025: 釧路工業高等専門学校, 創造工学科, 講師 2018: 室蘭工業大学, 大学院工学研究科, 研究員
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related Except Principal Investigator Basic Section 12020:Mathematical analysis-related / Medium-sized Section 12:Analysis, applied mathematics, and related fields
Keywords	Principal Investigator 非線型波動方程式 / ライフスパン / 双曲空間 / 時間大域解 / 解の最大存在時刻 / 解の爆発 / 臨界指数 / 非線形波動方程式 Except Principal Investigator 非線形波動方程式 / 初期値問題 … More / 空間１次元 / lifespan / 半線形消散波動方程式 / 半線形波動方程式 / ライフスパン / 古典解 / エネルギー解 / 非線形消散波動方程式 / ド・ジッター時空 / combined effect / 空間低次元 / lifespan評価 / モーメント / 解の存在と爆発 / 双曲方程式 / 漸近解析 / 大域挙動 / 弱零条件 / 非線型摂動 / 双曲型方程式 / 臨界指数 / 消散項 / 半線形 / 有限時間爆発 / 時間大域存在 / ライフスパン評価 / べき型半線形項 / 消散波動方程式 / 藤田指数 / Strauss指数 / スケール不変消散項 / 冪型非線形項 / リュービル変換 / スケール不変 / 時間減衰消散項 / 非線消散形波動方程式 Less

時間依存型の消散性をもつ非線形波動方程式の統一的な理解の構築Principal Investigator
- Principal Investigator
  
  若狭恭平
- Project Period (FY)
  2025 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Kushiro National College of Technology
非線形消散波動方程式の一般論の構築と宇宙論および流体力学への応用
- Principal Investigator
  
  高村博之
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Tohoku University
New development of the blow-up theorem for nonlinear wave equationsPrincipal Investigator
- Principal Investigator
  
  若狭恭平
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Kushiro National College of Technology
Elucidation of weak null structure of strongly hyperbolic systems
- Principal Investigator
  
  Kubo Hideo
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Hokkaido University
Breakthrough on the wave-like property of solutions of nonlinear damped wave equations
- Principal Investigator
  
  Hiroyuki Takamura
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tohoku University

All 2023 2022 2021 2020 2019 2018

All Journal Article Presentation

[Journal Article] The lifespan estimates of classical solutions of one dimensional semilinear wave equations with characteristic weights2023
- Author(s)
  Kitamura Shunsuke、Takamura Hiroyuki、Wakasa Kyouhei
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 528 Issue: 2 Pages: 127516-127516
- DOI
  10.1016/j.jmaa.2023.127516
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K14351
[Journal Article] On the critical decay for the wave equation with a cubic convolution in 3D2021
- Author(s)
  Tanaka Tomoyuki、Wakasa Kyouhei
- Journal Title
  
  Discrete and Continuous Dynamical Systems
  
  Volume: 41 Issue: 10 Pages: 4545-4566
- DOI
  10.3934/dcds.2021048
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20J12750, KAKENHI-PROJECT-20K14351, KAKENHI-PROJECT-18H01132, KAKENHI-PROJECT-19H01795
[Journal Article] Critical exponent for the wave equation with a time-dependent scale invariant damping and a cubic convolution2021
- Author(s)
  Masahiro Ikeda, Tomoyuki Tanaka and Kyohei Wakasa
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 270 Pages: 916-946
- DOI
  10.1016/j.jde.2020.08.047
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-20K14351, KAKENHI-PROJECT-20J12750, KAKENHI-PROJECT-18H01132, KAKENHI-PROJECT-19H01795
[Journal Article] Lifespan estimates for 2-dimensional semilinear wave equations in asymptotically Euclidean exterior domains2021
- Author(s)
  Lai Ning-An、Liu Mengyun、Wakasa Kyouhei、Wang Chengbo
- Journal Title
  
  Journal of Functional Analysis
  
  Volume: 281 Issue: 12 Pages: 109253-109253
- DOI
  10.1016/j.jfa.2021.109253
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14351, KAKENHI-PROJECT-18H01132
[Journal Article] Small data blow-up for the wave equation with a time-dependent scale invariant damping and a cubic convolution for slowly decaying initial data2020
- Author(s)
  Masahiro Ikeda, Tomoyuki Tanaka and Kyohei Wakasa
- Journal Title
  
  Nonlinear Analysis
  
  Volume: 200 Pages: 112057-112057
- DOI
  10.1016/j.na.2020.112057
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-20K14351, KAKENHI-PROJECT-20J12750, KAKENHI-PROJECT-18H01132, KAKENHI-PROJECT-19H01795
[Journal Article] Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass2020
- Author(s)
  Masahiro Ikeda, Ziheng Tu and Kyohei Wakasa
- Journal Title
  
  Evolution Equations and Control Theory
  
  Volume: 未定 Issue: 2 Pages: 515-515
- DOI
  10.3934/eect.2021011
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-20K14351, KAKENHI-PROJECT-22H00097
[Journal Article] The lifespan of solutions of semilinear wave equations with the scale-invariant damping in two space dimensions2020
- Author(s)
  Takuto Imai, Masakazu Kato, Hiroyuki Takamura, Kyouhei Wakasa
- Journal Title
  
  J. Differential Equations
  
  Volume: 269 Issue: 10 Pages: 8387-8424
- DOI
  10.1016/j.jde.2020.06.019
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Finite time blowup of solutions to semilinear wave equation in an exterior domain2020
- Author(s)
  Motohiro Sobajima, Kyouhei Wakasa
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 484 Issue: 1 Pages: 123667-123667
- DOI
  10.1016/j.jmaa.2019.123667
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13445, KAKENHI-PROJECT-18H01132
[Journal Article] On the nonexistence of global solutions for critical semilinear wave equations with damping in the scattering case2019
- Author(s)
  K.Wakasa and B.Yordanov
- Journal Title
  
  Nonlinear Analysis, TMA
  
  Volume: 180 Pages: 67-74
- DOI
  10.1016/j.na.2018.09.012
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] The lifespan of solutions of semilinear wave equations with the scale-invariant damping in one space dimension2019
- Author(s)
  Masakazu Kato, Hiroyuki Takamura, Kyouhei Wakasa
- Journal Title
  
  Differential Integral Equations
  
  Volume: 32(11-12) Pages: 659-678
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Blow-up of solutions to critical semilinear wave equations with variable coefficients2019
- Author(s)
  Kyouhei Wakasa, Borislav Yordanov
- Journal Title
  
  J. Differential Equations
  
  Volume: 266(9) Issue: 9 Pages: 5360-5376
- DOI
  10.1016/j.jde.2018.10.028
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Critical exponent for nonlinear damped wave equations with non-negative potential in 3D2019
- Author(s)
  Vladimir Georgiev, Hideo Kubo, Kyouhei Wakasa
- Journal Title
  
  J. Differential Equations
  
  Volume: 267(5) Issue: 5 Pages: 3271-3288
- DOI
  10.1016/j.jde.2019.04.004
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions2019
- Author(s)
  Takuto Imai, Masakazu Kato, Hiroyuki Takamura, Kyouhei Wakasa
- Journal Title
  
  K.Kato & T.Ogawa & T.Ozawa ed. "Asymptotic Analysis for Nonlinear Dispersive and Wave Equations", Advanced Studies in Pure Mathematics
  
  Volume: 81 Pages: 31-53
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Blow-up phenomena of semilinear wave equations and their weakly coupled systems2019
- Author(s)
  Masahiro Ikeda, Motohiro Sobajima, Kyohei Wakasa
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 267 Issue: 9 Pages: 5165-5201
- DOI
  10.1016/j.jde.2019.05.029
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-18H01132
[Presentation] The lifespan estimates of classical solutions of one dimensional semilinear wave equations with characteristic weights2023
- Author(s)
  若狭恭平
- Organizer
  第795回早稲田大学応用解析研究会
- Invited
- Data Source
  KAKENHI-PROJECT-20K14351
[Presentation] The lifespan estimates of classical solutions of one dimensional semilinear wave equations with characteristic weights2023
- Author(s)
  若狭恭平
- Organizer
  大同大学若手微分方程式セミナー
- Data Source
  KAKENHI-PROJECT-20K14351
[Presentation] On the critical decay for the wave equation with a cubic convolution in three space dimensions2023
- Author(s)
  若狭恭平
- Organizer
  Workshop on Nonlinear Hyperbolic PDEs -- On the occasion of 60th birthday of Professor Yi Zhou --
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14351
[Presentation] On the critical decay for the wave equation with a cubic convolution in three space dimensions2023
- Author(s)
  若狭恭平
- Organizer
  Workshop on Nonlinear Hyperbolic PDEs
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19H01795
[Presentation] Decay property for nonlinear damped wave equations in one space dimension2022
- Author(s)
  若狭恭平
- Organizer
  Okayama Workshop on Partial Differential Equations
- Invited
- Data Source
  KAKENHI-PROJECT-20K14351
[Presentation] On the critical decay for the wave equation with a cubic convolution in 3D2022
- Author(s)
  Kyouhei Wakasa
- Organizer
  Seminar of Applications of Differential Equations in Sciences
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22H00097
[Presentation] 特性方向の重みを持つ一次元半線形波動方程式の古典解のlifespan 評価2022
- Author(s)
  北村駿介, 高村博之, 若狭恭平
- Organizer
  2022年度日本数学会年会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-20K14351
[Presentation] 特性方向の重みを持つ一次元半線形波動方程式の古典解のlifespan 評価2022
- Author(s)
  北村駿介, 高村博之, 若狭恭平
- Organizer
  日本数学会2022年度年度年会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] On the critical decay for the wave equation with a cubic convolution in 3D2022
- Author(s)
  Kyouhei Wakasa
- Organizer
  Seminar of Applications of Differential Equations in Sciences, ブルガリア科学アカデミー（オンライン講演）
- Invited
- Data Source
  KAKENHI-PROJECT-20K14351
[Presentation] ハートリー型の非線形項をもつ波動方程式について2021
- Author(s)
  若狭恭平
- Organizer
  半田山偏微分方程式研究集会
- Data Source
  KAKENHI-PROJECT-20K14351
[Presentation] ハートリー型の非線形項をもつ波動方程式について2021
- Author(s)
  若狭恭平
- Organizer
  半田山偏微分方程式研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] On the critical decay for the wave equation with a cubic convolution in 3D2021
- Author(s)
  田中智之, 若狭恭平
- Organizer
  日本数学会2021年度年会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-20K14351
[Presentation] On the critical decay for the wave equation with a cubic convolution in 3D2021
- Author(s)
  若狭恭平
- Organizer
  第２４８回広島数理解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] On the critical decay for the wave equation with a cubic convolution in 3D2021
- Author(s)
  若狭恭平
- Organizer
  第２４８回広島数理解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14351
[Presentation] On the critical decay for the wave equation with a cubic convolution in 3D2021
- Author(s)
  田中智之, 若狭恭平
- Organizer
  日本数学会2021年度年会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] On the critical decay for the wave equation with a cubic convolution in 3D2020
- Author(s)
  若狭恭平
- Organizer
  北海道大学偏微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14351
[Presentation] On the critical decay for the wave equation with a cubic convolution in 3D2020
- Author(s)
  若狭恭平
- Organizer
  研究集会「微分方程式の総合的研究」
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] On the critical decay for the wave equation with a cubic convolution in 3D2020
- Author(s)
  若狭恭平
- Organizer
  北海道大学偏微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] On the critical decay for the wave equation with a cubic convolution in 3D2020
- Author(s)
  若狭恭平
- Organizer
  研究集会「微分方程式の総合的研究」
- Data Source
  KAKENHI-PROJECT-20K14351
[Presentation] Blow-up of solutions to critical semilinear wave equations with variable coefficients2019
- Author(s)
  若狭　恭平
- Organizer
  大同大学第1回若手微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] On blowup solutions of semi linear wave equation and their weakly coupled system2019
- Author(s)
  池田正弘, 側島基宏, 若狭恭平
- Organizer
  日本数学会・2019年度年会, 東京工業大学
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Global well-posedness for the wave equation with a time-dependent scale invariant damping and a cubic convolution2019
- Author(s)
  池田正弘, 田中智之, 若狭恭平
- Organizer
  日本数学会・2020年度年会
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] On the blow-up theorem for critical semilinear wave equations2019
- Author(s)
  若狭恭平
- Organizer
  MZセミナー, 宮崎大学
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] On the blow-up theorem for critical semilinear wave equations2018
- Author(s)
  若狭恭平
- Organizer
  名古屋偏微分方程式研究集会，名古屋工業大学
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] On the blow-up theorem for critical semilinear wave equations2018
- Author(s)
  K.Wakasa
- Organizer
  16th Linear and Nonlinear Waves, 滋賀県立県民交流センター
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] On the blow-up theorem for critical semilinear wave equations2018
- Author(s)
  若狭恭平
- Organizer
  三重における非線形波動方程式研究集会, 三重大学
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132

1. Hiroyuki Takamura (40241781)

# of Collaborated Projects: 2 results

# of Collaborated Products: 4 results
2. Kubo Hideo (50283346)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. 加藤正和 (30526679)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. 津田谷公利 (60250411)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 6 results
7. Yordanov Borislav (50839199)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 佐々木多希子 (30780150)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. 側島基宏

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Wakasa Kyouhei 若狭 恭平

Research Projects

Research Products

Co-Researchers

時間依存型の消散性をもつ非線形波動方程式の統一的な理解の構築Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

非線形消散波動方程式の一般論の構築と宇宙論および流体力学への応用

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

New development of the blow-up theorem for nonlinear wave equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Elucidation of weak null structure of strongly hyperbolic systems

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Breakthrough on the wave-like property of solutions of nonlinear damped wave equations

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] The lifespan estimates of classical solutions of one dimensional semilinear wave equations with characteristic weights2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the critical decay for the wave equation with a cubic convolution in 3D2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Critical exponent for the wave equation with a time-dependent scale invariant damping and a cubic convolution2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Lifespan estimates for 2-dimensional semilinear wave equations in asymptotically Euclidean exterior domains2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Small data blow-up for the wave equation with a time-dependent scale invariant damping and a cubic convolution for slowly decaying initial data2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The lifespan of solutions of semilinear wave equations with the scale-invariant damping in two space dimensions2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Finite time blowup of solutions to semilinear wave equation in an exterior domain2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the nonexistence of global solutions for critical semilinear wave equations with damping in the scattering case2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The lifespan of solutions of semilinear wave equations with the scale-invariant damping in one space dimension2019

Wakasa Kyouhei 若狭恭平

[Presentation] ハートリー型の非線形項をもつ波動方程式について2021

[Presentation] ハートリー型の非線形項をもつ波動方程式について2021