Wakasugi Yuta 若杉勇太

Researcher Number	20771140
Other IDs
Affiliation (Current)	2025: 広島大学, 先進理工系科学研究科(工), 准教授
Affiliation (based on the past Project Information) *help	2020 – 2025: 広島大学, 先進理工系科学研究科(工), 准教授 2019: 広島大学, 工学研究科, 准教授 2016 – 2019: 愛媛大学, 理工学研究科(工学系), 講師
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related / Mathematical analysis Except Principal Investigator Transformative Research Areas, Section (IV) / Medium-sized Section 12:Analysis, applied mathematics, and related fields / Basic Section 12020:Mathematical analysis-related
Keywords	Principal Investigator 解の爆発 / 時間大域解 / FLRW計量 / 臨界指数 / 漸近挙動 / 消散型波動方程式 / エネルギー法 / 実解析 / 消散的双曲型偏微分方程式 / 非線形問題 … More / 平滑化評価式 / 力学的境界条件 / 非線形波動方程式 / 数値解析 / 一意性 / 適切性 / 平滑化評価 / 消散型発展方程式 / 集約的非線形項 / エネルギー臨界 / 解の大域挙動 / 時間大域的適切性 / 非線形消散型波動方程式 / 消散型梁方程式 / Navier-Stokes方程式 … More Except Principal Investigator 非線形波動方程式 / 初期値問題 / 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 / 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 / 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 / 初期モーメント / 解のライフスパン / 非線形双曲型偏微分方程式 / 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

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
Study of dissipative hyperbolic partial differential equations by real analysis and energy methodPrincipal Investigator
- Principal Investigator
  
  若杉勇太
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Hiroshima University
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
Smoothing estimates for dissipative evolutions equations and applications to nonlinear problemsPrincipal Investigator
- Principal Investigator
  
  Wakasugi Yuta
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Hiroshima 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
Global behavior of solutions to nonlinear wave equations with dissipative structuresPrincipal Investigator
- Principal Investigator
  
  Wakasugi Yuta
- Project Period (FY)
  2016 – 2021
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  Hiroshima University
  Ehime University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016

All Journal Article Presentation

[Journal Article] Asymptotic profiles for the Cauchy problem of damped beam equation with two variable coefficients and derivative nonlinearity2024
- Author(s)
  Hamza Mohamed Ali、Wakasugi Yuta、Yoshikawa Shuji
- Journal Title
  
  Discrete and Continuous Dynamical Systems
  
  Volume: - Issue: 8 Pages: 2280-2308
- DOI
  10.3934/dcds.2024027
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14346
[Journal Article] Decay property of solutions to the wave equation with space‐dependent damping, absorbing nonlinearity, and polynomially decaying data2023
- Author(s)
  Wakasugi Yuta
- Journal Title
  
  Mathematical Methods in the Applied Sciences
  
  Volume: 46 Issue: 6 Pages: 7067-7107
- DOI
  10.1002/mma.8957
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14346
[Journal Article] Asymptotic expansion of solutions to the wave equation with space-dependent damping2023
- Author(s)
  Sobajima Motohiro、Wakasugi Yuta
- Journal Title
  
  Asymptotic Analysis
  
  Volume: 134 Issue: 1-2 Pages: 241-279
- DOI
  10.3233/asy-231834
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14346
[Journal Article] Energy-conserving finite difference schemes for nonlinear wave equations with dynamic boundary conditions2022
- Author(s)
  Akihiro Umeda, Yuta Wakasugi, Shuji Yoshikawa
- Journal Title
  
  Applied Numerical Mathematics
  
  Volume: 171 Pages: 1-22
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Energy-conserving finite difference schemes for nonlinear wave equations with dynamic boundary conditions2022
- Author(s)
  Umeda Akihiro、Wakasugi Yuta、Yoshikawa Shuji
- Journal Title
  
  Applied Numerical Mathematics
  
  Volume: 171 Pages: 1-22
- DOI
  10.1016/j.apnum.2021.08.009
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-20K03687, KAKENHI-PROJECT-20K14346, KAKENHI-PROJECT-20KK0308
[Journal Article] On heatlike lifespan of solutions of semilinear wave equations in Friedmann-Lema^itre-Robertson-Walker spacetime2021
- Author(s)
  Tsutaya Kimitoshi、Wakasugi Yuta
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 500 Issue: 2 Pages: 125133-125133
- DOI
  10.1016/j.jmaa.2021.125133
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03351, KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-20K14346, KAKENHI-PROJECT-18H01132
[Journal Article] Unconditional well-posedness for the energy-critical nonlinear damped wave equation2021
- Author(s)
  Inui Takahisa、Wakasugi Yuta
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: 21 Issue: 4 Pages: 5171-5201
- DOI
  10.1007/s00028-021-00744-9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-18K13444, KAKENHI-PROJECT-20K14346, KAKENHI-PROJECT-19KK0066
[Journal Article] Blow-up of solutions of semilinear wave equations in accelerated expanding Friedmann-Lemaitre-Robertson-Walker spacetime2021
- Author(s)
  Tsutaya Kimitoshi、Wakasugi Yuta
- Journal Title
  
  Reviews in Mathematical Physics
  
  Volume: 34 Issue: 02 Pages: 2250003-2250003
- DOI
  10.1142/s0129055x22500039
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-18K03351, KAKENHI-PROJECT-20K14346, KAKENHI-PROJECT-22H00097
[Journal Article] Supersolutions for parabolic equations with unbounded or degenerate diffusion coefficients and their applications to some classes of parabolic and hyperbolic equations2021
- Author(s)
  SOBAJIMA Motohiro、WAKASUGI Yuta
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 73 Issue: 4 Pages: 1091-1128
- DOI
  10.2969/jmsj/83928392
- NAID
  130008106924
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-18K13445, KAKENHI-PROJECT-20K14346
[Journal Article] Classification of asymptotic profiles for the Cauchy problem of damped beam equation with two variable coefficients: Effective damping case2021
- Author(s)
  Yoshikawa Shuji、Wakasugi Yuta
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 272 Pages: 938-957
- DOI
  10.1016/j.jde.2020.10.008
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03687, KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-20K14346, KAKENHI-PROJECT-16K05234
[Journal Article] On Glassey’s conjecture for semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime2021
- Author(s)
  Tsutaya Kimitoshi、Wakasugi Yuta
- Journal Title
  
  Boundary Value Problems
  
  Volume: 2021 Issue: 1 Pages: 1-30
- DOI
  10.1186/s13661-021-01571-0
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-18K03351, KAKENHI-PROJECT-20K14346, KAKENHI-PROJECT-18H01132
[Journal Article] Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime2021
- Author(s)
  Tsutaya Kimitoshi、Wakasugi Yuta
- Journal Title
  
  Partial Differential Equations and Applications
  
  Volume: 3 Issue: 1 Pages: 1-10
- DOI
  10.1007/s42985-021-00145-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-18K03351, KAKENHI-PROJECT-20K14346
[Journal Article] Movement of time-delayed hot spots in Euclidean space for a degenerate initial state2020
- Author(s)
  Sakata Shigehiro、Wakasugi Yuta
- Journal Title
  
  Discrete & Continuous Dynamical Systems - A
  
  Volume: 40 Issue: 5 Pages: 2705-2738
- DOI
  10.3934/dcds.2020147
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-17K14191
[Journal Article] Lifespan of Solutions for a Weakly Coupled System of Semilinear Heat Equations2020
- Author(s)
  FUJIWARA Kazumasa、IKEDA Masahiro、WAKASUGI Yuta
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: 43 Issue: 1 Pages: 163-180
- DOI
  10.3836/tjm/1502179300
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-20K14346
[Journal Article] Blow up of solutions of semilinear wave equations in Friedmann-Lema^itre-Robertson-Walker spacetime2020
- Author(s)
  Tsutaya Kimitoshi、Wakasugi Yuta
- Journal Title
  
  Journal of Mathematical Physics
  
  Volume: 61 Issue: 9 Pages: 091503-091503
- DOI
  10.1063/1.5139301
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03351, KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-20K14346, KAKENHI-PROJECT-18H01132
[Journal Article] A Remark on the Critical Exponent for the Semilinear Damped Wave Equation on the Half-Space2019
- Author(s)
  Wakasugi Yuta
- Journal Title
  
  Trends in Mathematics
  
  Volume: - Pages: 389-394
- DOI
  10.1007/978-3-030-04459-6_37
- ISBN
  9783030044589, 9783030044596
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17625
[Journal Article] Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data2019
- Author(s)
  Motohiro Sobajima, Yuta Wakasugi
- Journal Title
  
  Communications in Contemporary Mathematics
  
  Volume: 印刷中 Issue: 05 Pages: 1850035-1850035
- DOI
  10.1142/s0219199718500359
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17619, KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-18H01132
[Journal Article] L^p-L^q estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data2019
- Author(s)
  Ikeda Masahiro, Inui Takahisa, Okamoto Mamoru, Wakasugi Yuta
- Journal Title
  
  Communications on Pure & Applied Analysis
  
  Volume: 18 Issue: 4 Pages: 1967-2008
- DOI
  10.3934/cpaa.2019090
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K17624, KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-18H01132, KAKENHI-PROJECT-18K13444
[Journal Article] Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case2019
- Author(s)
  Ikeda Masahiro、Wakasugi Yuta
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 148 Issue: 1 Pages: 157-172
- DOI
  10.1090/proc/14297
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-18H01132
[Journal Article] Estimates of lifespan and blow-up rates for the wave equation with a time-dependent damping and a power-type nonlinearity2019
- Author(s)
  Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi
- Journal Title
  
  Funkcial. Ekvac.
  
  Volume: 62(2) Pages: 157-189
- NAID
  130007695611
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Estimates of Lifespan and Blow-up Rates for the Wave Equation with a Time-dependent Damping and a Power-type Nonlinearity2019
- Author(s)
  Fujiwara Kazumasa、Ikeda Masahiro、Wakasugi Yuta
- Journal Title
  
  FE
  
  Volume: 62 Issue: 2 Pages: 157-189
- DOI
  10.1619/fesi.62.157
- NAID
  130007695611
- ISSN
  0532-8721
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17625
[Journal Article] Second order asymptotic expansion for wave equations with time- dependent dissipation in one-space dimension2019
- Author(s)
  Yuta Wakasugi
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 81 Pages: 401-419
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17625
[Journal Article] Sharp lifespan estimates of blowup solutions to semi-linear wave equations with time-dependent effective damping2019
- Author(s)
  Ikeda Masahiro、Sobajima Motohiro、Wakasugi Yuta
- Journal Title
  
  Journal of Hyperbolic Differential Equations
  
  Volume: 16 Issue: 03 Pages: 495-517
- DOI
  10.1142/s0219891619500176
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-18K13445, KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-18H01132
[Journal Article] Critical exponent for the semilinear wave equations with a damping increasing in the far field2018
- Author(s)
  K.NIshihara, M.Sobajima and Y.Wakasugi
- Journal Title
  
  NoDEA Nonlinear Differential Equations Appl.
  
  Volume: 25 Pages: 25-55
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Diffusion phenomena for the wave equation with space-dependent damping term growing at infinity2018
- Author(s)
  Motohiro Sobajima, Yuta Wakasugi
- Journal Title
  
  Advances in Differential Equations
  
  Volume: 23
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17625
[Journal Article] Asymptotic profile of solution for the Cauchy problem of beam equation with variable coefficient2018
- Author(s)
  Yoshikawa Shuji、Wakasugi Yuta
- Journal Title
  
  Applied Mathematics Letters
  
  Volume: 76 Pages: 236-241
- DOI
  10.1016/j.aml.2017.09.006
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05234, KAKENHI-PROJECT-16K17625
[Journal Article] Diffusion phenomena for the wave equation with space-dependent damping term growing at infinity2018
- Author(s)
  M.Sobajima and Y.Wakasugi
- Journal Title
  
  Advances in Differential Equations
  
  Volume: 23 Pages: 581-614
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Critical exponent for the semilinear wave equations with a damping increasing in the far field2018
- Author(s)
  Nishihara Kenji、Sobajima Motohiro、Wakasugi Yuta
- Journal Title
  
  Nonlinear Differential Equations and Applications NoDEA
  
  Volume: 25 Issue: 6
- DOI
  10.1007/s00030-018-0546-2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-18K13445
[Journal Article] Finite energy of generalized suitable weak solutions to the Navier-Stokes equations and Liouville-type theorems in two dimensional domains2018
- Author(s)
  H. Kozono, Y. Wakasugi, Y. Terasawa
- Journal Title
  
  J. Differential Equations
  
  Volume: 印刷中 Issue: 4 Pages: 1227-1247
- DOI
  10.1016/j.jde.2018.03.027
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K17804, KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-16H06339
[Journal Article] The Cauchy problem for the nonlinear damped wave equation with slowly decaying data2017
- Author(s)
  Masahiro Ikeda, Takahisa Inui, Yuta Wakasugi
- Journal Title
  
  Nonlinear Differential Equations and Applications NoDEA
  
  Volume: 24 Issue: 2
- DOI
  10.1007/s00030-017-0434-1
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15J02570, KAKENHI-PROJECT-14J01884, KAKENHI-PROJECT-15K17571, KAKENHI-PROJECT-16K17625
[Journal Article] Blow-up of solutions for weakly coupled systems of complex Ginzburg-Landau equations2017
- Author(s)
  Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi
- Journal Title
  
  Electron. J. Differential Equations
  
  Volume: 2017, No. 196
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Asymptotic profiles for the Cauchy problem of damped beam equation with two variable coefficients and derivative nonlinearity2024
- Author(s)
  若杉勇太
- Organizer
  日本数学会2024年度年会
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] Asymptotic expansion of solutions to the wave equation with space-dependent damping2023
- Author(s)
  Yuta Wakasugi
- Organizer
  Symposium on Evolution Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] Lifespan estimates for semillinear damped wave equation in a two-dimensional exterior domain2023
- Author(s)
  Yuta Wakasugi
- Organizer
  The 20th Linear and Nonlinear Waves
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] Asymptotic expansion of solutions to the wave equation with space-dependent damping2023
- Author(s)
  Yuta Wakasugi
- Organizer
  The 40th Kyushu Symposium on Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] Liouville-type theorems for the Taylor-Couette flow of the stationary Navier-Stokes equations2023
- Author(s)
  若杉勇太
- Organizer
  日本数学会2023年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] 2 次元外部領域における臨界型半線形消散型波動方程式について2023
- Author(s)
  若杉勇太
- Organizer
  日本数学会2023年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] 力学的境界条件をもつ非線形波動方程式に対する構造保存数値解法について2023
- Author(s)
  若杉勇太
- Organizer
  第38回松山キャンプ
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] Lifespan estimates for semilinear damped wave equation in a two-dimensional exterior domain2023
- Author(s)
  Yuta Wakasugi
- Organizer
  14th ISAAC Congress
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] 空間変数に依存する摩擦項をもつ波動方程式の解の高次漸近展開2022
- Author(s)
  若杉勇太
- Organizer
  神楽坂解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22H00097
[Presentation] 空間変数に依存する摩擦項をもつ波動方程式の解の漸近展開2022
- Author(s)
  若杉勇太
- Organizer
  大阪大学微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] 空間変数に依存する摩擦項をもつ波動方程式の解の漸近展開2022
- Author(s)
  若杉勇太
- Organizer
  大阪大学微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22H00097
[Presentation] Decay property of solutions to the semilinear wave equation with space-dependent damping and absorbing nonlinearity2022
- Author(s)
  若杉勇太
- Organizer
  第11回室蘭非線形解析研究会
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Asymptotic expansion of solutions to the wave equation with space-dependent damping2022
- Author(s)
  若杉勇太
- Organizer
  日本数学会2022年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] Global existence and asymptotic behavior for nonlinear damped wave equations on measure spaces2022
- Author(s)
  若杉勇太
- Organizer
  The Second One Day Workshop on Hyperbolic PDE in Kushiro
- Invited
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] Decay property of solutions to the semilinear wave equation with space-dependent damping and absorbing nonlinearity2022
- Author(s)
  若杉勇太
- Organizer
  第11回室蘭非線形解析研究会
- Invited
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Blow-up of solutions of semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime2022
- Author(s)
  Yuta Wakasugi
- Organizer
  Mathematical Analysis of Nonlinear Dispersive and Wave Equations, In honor of Professor Tohru Ozawa's 60th birthday
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22H00097
[Presentation] A remark on the asymptotic expansion of solutions to the damped wave equation2022
- Author(s)
  若杉勇太
- Organizer
  第2回香川における偏微分方程式研究会
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] Asymptotic expansion of solutions to the wave equation with space-dependent damping2022
- Author(s)
  側島基宏, 若杉勇太
- Organizer
  日本数学会2022年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-22H00097
[Presentation] 空間変数に依存する摩擦項をもつ波動方程式の解の高次漸近展開2022
- Author(s)
  若杉勇太
- Organizer
  第182回神楽坂解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl2021
- Author(s)
  若杉勇太
- Organizer
  日本数学会2021年度年会
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] On heatlike lifespan of solutions of semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime2021
- Author(s)
  若杉勇太
- Organizer
  日本数学会2021年度年会
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Decay property of solutions to the semilinear wave equation with space-dependent damping and absorbing nonlinearity2021
- Author(s)
  若杉勇太
- Organizer
  第2回大同大学若手微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] On heatlike lifespan of solutions of semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime2021
- Author(s)
  津田谷公利, 若杉勇太
- Organizer
  日本数学会2021年度年会
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] 空間変数に依存する摩擦項をもつ波動方程式の解のエネルギー減衰2021
- Author(s)
  若杉勇太
- Organizer
  大阪市立大学談話会
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Decay property of solutions to the semilinear wave equation with space-dependent damping and absorbing nonlinearity2021
- Author(s)
  若杉勇太
- Organizer
  熊本大学応用解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] Decay property of solutions to the semilinear wave equation with space-dependent damping and absorbing nonlinearity2021
- Author(s)
  若杉勇太
- Organizer
  第11回室蘭非線形解析研究会
- Invited
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] 吸収型非線形項と空間変数に依存する摩擦項をもつ波動方程式のエネルギー減衰について2021
- Author(s)
  若杉勇太
- Organizer
  日本数学会2021年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] Blow up of solutions of semilinear wave equations in de Sitter spacetime2021
- Author(s)
  若杉勇太
- Organizer
  日本数学会2021年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] Weighted energy estimates for solutions to the wave equation with space-dependent damping2021
- Author(s)
  若杉勇太
- Organizer
  第36回松山キャンプ
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Decay property of solutions to the semilinear wave equation with space-dependent damping and absorbing nonlinearity2021
- Author(s)
  若杉勇太
- Organizer
  熊本大学応用解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Asymptotic behavior of solutions to elliptic equations with unbounded coefficients of the second order in unbounded domains2021
- Author(s)
  若杉勇太
- Organizer
  日本数学会2021年度年会
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Weighted energy estimates for solutions to the wave equation with space-dependent damping2021
- Author(s)
  若杉勇太
- Organizer
  第36回松山キャンプ
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] 吸収型非線形項と空間変数に依存する摩擦項をもつ波動方程式のエネルギー減衰について2021
- Author(s)
  若杉勇太
- Organizer
  日本数学会2021年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl2021
- Author(s)
  若杉勇太
- Organizer
  日本数学会2021年度年会
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] Global existence and asymptotic behavior for nonlinear damped wave equations on measure spaces2021
- Author(s)
  若杉勇太
- Organizer
  香川における偏微分方程式研究会
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] Global existence and asymptotic behavior for nonlinear damped wave equations on measure spaces2021
- Author(s)
  Yuta Wakasugi
- Organizer
  Recent Advances in Nonlinear Evolution Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] 吸収型非線形項と空間変数に依存する摩擦項をもつ波動方程式のエネルギー減衰について2021
- Author(s)
  若杉勇太
- Organizer
  日本数学会2021年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Decay property of solutions to the semilinear wave equation with space-dependent damping and absorbing nonlinearity2021
- Author(s)
  若杉勇太
- Organizer
  熊本大学応用解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Global existence and asymptotic behavior for nonlinear damped wave equations on measure spaces2021
- Author(s)
  若杉勇太
- Organizer
  香川における偏微分方程式研究会
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Global existence and asymptotic behavior for nonlinear damped wave equations on measure spaces2021
- Author(s)
  Yuta Wakasugi
- Organizer
  Recent Advances in Nonlinear Evolution Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Global existence and asymptotic behavior for nonlinear damped wave equations on measure spaces2021
- Author(s)
  若杉勇太
- Organizer
  香川における偏微分方程式研究会
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Blow up of solutions of semilinear wave equations in de Sitter spacetime2021
- Author(s)
  若杉勇太
- Organizer
  日本数学会2021年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Global existence and asymptotic behavior for nonlinear damped wave equations on measure spaces2021
- Author(s)
  Yuta Wakasugi
- Organizer
  Recent Advances in Nonlinear Evolution Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Weighted energy estimates for solutions to the wave equation with space-dependent damping2021
- Author(s)
  若杉勇太
- Organizer
  第36回松山キャンプ
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] 空間変数に依存する摩擦項をもつ波動方程式の解のエネルギー減衰2021
- Author(s)
  若杉勇太
- Organizer
  大阪市立大学談話会
- Invited
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] Blow up of solutions of semilinear wave equations in de Sitter spacetime2021
- Author(s)
  若杉勇太
- Organizer
  日本数学会2021年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Decay property of solutions to the semilinear wave equation with space-dependent damping and absorbing nonlinearity2021
- Author(s)
  若杉勇太
- Organizer
  第2回大同大学若手微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Asymptotic behavior of solutions to elliptic equations with unbounded coefficients of the second order in unbounded domains2021
- Author(s)
  若杉勇太
- Organizer
  日本数学会2021年度年会
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] On heatlike lifespan of solutions of semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime2021
- Author(s)
  若杉勇太
- Organizer
  日本数学会2021年度年会
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] Decay property of solutions to the semilinear wave equation with space-dependent damping and absorbing nonlinearity2021
- Author(s)
  若杉勇太
- Organizer
  第2回大同大学若手微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] 空間変数に依存する摩擦項をもつ波動方程式の解のエネルギー減衰2021
- Author(s)
  若杉勇太
- Organizer
  大阪市立大学談話会
- Invited
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Blow-up of solutions of semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime2020
- Author(s)
  Yuta Wakasugi
- Organizer
  Webinar on Evolution Models, Critical exponent versus blow-up in evolution models
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14346
[Presentation] Endpoint Strichartz estimates for the damped wave equation2020
- Author(s)
  若杉勇太
- Organizer
  第35回松山キャンプ
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Endpoint Strichartz estimates for the damped wave equation2020
- Author(s)
  若杉　勇太
- Organizer
  第35回松山キャンプ
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Blow-up of solutions of semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime2020
- Author(s)
  Yuta Wakasugi
- Organizer
  Webinar on Evolution Models, Critical exponent versus blow-up in evolution models
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Blow-up of solutions of semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime2020
- Author(s)
  Yuta Wakasugi
- Organizer
  Webinar on Evolution Models, Critical exponent versus blow-up in evolution models
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Asymptotic behavior of solutions to the wave equation with space-dependent damping and slowly decaying data2019
- Author(s)
  若杉勇太
- Organizer
  京都大学NLPDEセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Asymptotic profiles of solutions for the Cauchy problem of damped beam equation with two variable coefficients2019
- Author(s)
  若杉勇太
- Organizer
  RIMS共同研究「反応拡散方程式と非線形分散型方程式の解の挙動」
- Invited
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Endpoint Strichartz estimate for the damped wave equation and its application2019
- Author(s)
  若杉勇太
- Organizer
  Workshop on nonlinear PDE in Numazu
- Invited
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] 空間変数に依存する摩擦項をもつ波動方程式の解の漸近挙動について2019
- Author(s)
  若杉　勇太
- Organizer
  広島数理解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Asymptotic behavior of solutions to the wave equation with space-dependent damping and slowly decaying data2019
- Author(s)
  若杉　勇太
- Organizer
  京都大学NLPDEセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] 消散型波動方程式に対するLp-Lq評価と非線形問題への応用2019
- Author(s)
  若杉勇太
- Organizer
  日本数学会2019年度秋季総合分科会（特別講演）
- Invited
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Critical exponent for the semilinear wave equations with a damping increasing in the far field2019
- Author(s)
  若杉勇太
- Organizer
  日本数学会2019年度年会, 東京工業大学
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Lp-Lq estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data2019
- Author(s)
  Yuta Wakasugi
- Organizer
  12th International ISAAC Congress
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] 時間変数係数をもつ消散型波動方程式の解の2次漸近形について2019
- Author(s)
  若杉勇太
- Organizer
  第34回松山キャンプ
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Endpoint Strichartz estimates for the damped wave equation2019
- Author(s)
  若杉　勇太
- Organizer
  三重偏微分方程式研究集会～西原健二先生の古希を記念して～
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Critical exponent for the semilinear wave equations with a damping increasing in the far field2019
- Author(s)
  若杉勇太
- Organizer
  日本数学会2019年度年会
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Lp-Lq estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data2019
- Author(s)
  Yuta Wakasugi
- Organizer
  12th International ISAAC Congress
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Endpoint Strichartz estimates for the damped wave equation2019
- Author(s)
  若杉勇太
- Organizer
  三重偏微分方程式研究集会～西原健二先生の古希を記念して～
- Invited
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] 時間変数係数をもつ消散型波動方程式の解の2次漸近形について2019
- Author(s)
  若杉勇太
- Organizer
  第34回松山キャンプ, 山口大学
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Endpoint Strichartz estimate for the damped wave equation and its application2019
- Author(s)
  若杉　勇太
- Organizer
  Workshop on nonlinear PDE in Numazu
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] 空間変数に依存する摩擦項をもつ波動方程式の解の漸近挙動について2019
- Author(s)
  若杉勇太
- Organizer
  広島数理解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Asymptotic properties of steady solutions to the 2D Navier-Stokes equations with finite generalized Dirichlet integral2019
- Author(s)
  若杉勇太
- Organizer
  日本数学会2019年度年会
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] 空間変数に依存する摩擦項をもつ波動方程式の解の漸近挙動について2019
- Author(s)
  若杉勇太
- Organizer
  愛媛大学解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] L^p-L^q estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data2018
- Author(s)
  若杉勇太
- Organizer
  名古屋微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data2018
- Author(s)
  若杉勇太
- Organizer
  12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Critical exponent for the semilinear wave equation with a damping term depending on time and space variables2018
- Author(s)
  若杉勇太
- Organizer
  名古屋偏微分方程式研究集会
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] L^p-L^q estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data2018
- Author(s)
  若杉勇太
- Organizer
  名古屋微分方程式セミナー, 名古屋大学
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] 線形消散型波動方程式の解の時間減衰評価, 可積分でない初期値を持つ非線形問題の臨界指数2018
- Author(s)
  池田正弘，若杉勇太，戍亥隆恭，岡本葵
- Organizer
  日本数学会2018年度年会
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Critical exponent for the semilinear wave equation with a damping term depending on time and space variable2018
- Author(s)
  若杉勇太
- 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] Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data2018
- Author(s)
  Y.Wakasugi
- Organizer
  12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, SS102: Asymptotics for Nonlinear Diffusion Equations and Related Topics, National Taiwan University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data2017
- Author(s)
  側島基宏，若杉勇太
- Organizer
  日本数学会2017年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Asymptotic behavior of solutions to the wave equation with space-dependent damping2017
- Author(s)
  Yuta Wakasugi
- Organizer
  The 42nd Sapporo Symposium on Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Diffusion phenomena for the wave equation with space-dependent damping term growing at infinity2017
- Author(s)
  側島基宏，若杉勇太
- Organizer
  日本数学会2017年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] Asymptotic behavior of solutions to the wave equation with space-dependent damping2017
- Author(s)
  Yuta Wakasugi
- Organizer
  11th ISAAC Congress (ISAAC2017)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17625
[Presentation] The Cauchy problem for the nonlinear damped wave equation with slowly decaying data2016
- Author(s)
  若杉勇太
- Organizer
  2016年度日本数学会秋季総合分科会
- Place of Presentation
  関西大学（大阪府・吹田市）
- Data Source
  KAKENHI-PROJECT-16K17625

1. Hiroyuki Takamura (40241781)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
3. 若狭恭平 (60783404)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 久保英夫 (50283346)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
8. 町原秀二 (20346373)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. 平山浩之 (90748328)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. YOSHIKAWA Shuji

# of Collaborated Projects: 0 results

# of Collaborated Products: 2 results
16. 側島基宏

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
17. 岡本葵

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
18. 寺澤祐高

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Wakasugi Yuta 若杉 勇太

Research Projects

Research Products

Co-Researchers

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

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Study of dissipative hyperbolic partial differential equations by real analysis and energy methodPrincipal Investigator

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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

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Smoothing estimates for dissipative evolutions equations and applications to nonlinear problemsPrincipal Investigator

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Review Section

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

Principal Investigator

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Review Section

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Global behavior of solutions to nonlinear wave equations with dissipative structuresPrincipal Investigator

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[Journal Article] Asymptotic profiles for the Cauchy problem of damped beam equation with two variable coefficients and derivative nonlinearity2024

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[Journal Article] Decay property of solutions to the wave equation with space‐dependent damping, absorbing nonlinearity, and polynomially decaying data2023

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[Journal Article] Asymptotic expansion of solutions to the wave equation with space-dependent damping2023

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[Journal Article] Energy-conserving finite difference schemes for nonlinear wave equations with dynamic boundary conditions2022

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[Journal Article] Energy-conserving finite difference schemes for nonlinear wave equations with dynamic boundary conditions2022

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[Journal Article] On heatlike lifespan of solutions of semilinear wave equations in Friedmann-Lema^itre-Robertson-Walker spacetime2021

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Data Source

[Journal Article] Unconditional well-posedness for the energy-critical nonlinear damped wave equation2021

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[Journal Article] Blow-up of solutions of semilinear wave equations in accelerated expanding Friedmann-Lemaitre-Robertson-Walker spacetime2021

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[Journal Article] Supersolutions for parabolic equations with unbounded or degenerate diffusion coefficients and their applications to some classes of parabolic and hyperbolic equations2021

Wakasugi Yuta 若杉勇太