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J-GLOBAL ID：200901082385913324   Update date: Nov. 22, 2024

Tsutaya Kimitoshi

ツタヤ キミトシ | Tsutaya Kimitoshi
Affiliation and department：
弘前大学 大学院理工学研究科

About 弘前大学 大学院理工学研究科


Job title： 教授
Research field  (1)： Mathematical analysis
Research keywords  (2)： 偏微分方程式 ,  Partial Differential Equations
Research theme for competitive and other funds  (16)：
  • 2022 - 2027 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
  • 2019 - 2024 強双曲型方程式において弱零条件の果たす役割の解明
  • 2018 - 2024 膨張宇宙モデルにおけるスケール因子が非線形波動に及ぼす影響について
  • 2009 - 2014 On analysis of interacting nonlocal waves
  • 2004 - 2008 Geometry and Analysis of Wave Fields
Show all
Papers (39)：
  • Kimitoshi Tsutaya, Yuta Wakasugi. Remarks on Blow up of Solutions of Nonlinear Wave Equations in Friedmann-Lemaître-Robertson-Walker Spacetime. Springer Proceedings in Mathematics & Statistics. 2024. 451
  • Kimitoshi Tsutaya, Yuta Wakasugi. Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime. Partial Differential Equations and Applications. 2022. 3. 1
  • Kimitoshi Tsutaya, Yuta Wakasugi. On Glassey’s conjecture for semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime. Boundary Value Problems. 2021. 2021. 1
  • Kimitoshi Tsutaya, Yuta Wakasugi. Blow-up of solutions of semilinear wave equations in accelerated expanding Friedmann-Lemaître-Robertson-Walker spacetime. Reviews in Mathematical Physics. 2021
  • Kimitoshi Tsutaya, Yuta Wakasugi. On heatlike lifespan of solutions of semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime. Journal of Mathematical Analysis and Applications. 2021. 500. 2. 125133-125133
ｍore...
MISC (6)：
  • Tsutaya Kimitoshi. Global existence for the Klein-Gordon-Zakharov equations (Study of Wave Equations : Decay, Boundedness, and Growth of Energy). RIMS Kokyuroku. 2005. 1411. 37-47
  • T. Ozawa, K. Tsutaya, Y. Tsutsumi. On the coupled system of nonlinear wave equations with different propagation speeds. Banach Center Publications. 2000. 52. 181-187
  • Rajendra Bhatia:Matrix Analysis. SUGAKU. 1999. 51. 4. 429-440
  • Ozawa Tohru, Tsutaya Kimitoshi, Tsutumi Yoshio. Global Existence and Asymptotic Behavior of Solutions for the Klein-Gordon Equations with Quadratic Nonlinearity in Two Space Dimensions(Mathematical Analysis of Phenomena in fluid and Plasma Dynamics). RIMS Kokyuroku. 1995. 914. 914. 112-118
  • Ozawa Tohru, Tsutaya Kimitoshi, Tsutsumi Yoshio. Normal form and global solutions for the Klein-Gordon-Zakharov equations(Nonlinear Evolution Equations and Their Applications). RIMS Kokyuroku. 1995. 898. 898. 94-103
ｍore...
Lectures and oral presentations  (6)：
  • Blow up of solutions of semilinear wave equations with time-dependent propagation speed and damping
    (2024)
  • Blow up of solutions of semilinear wave equations with time-dependent propagation speed and damping
    (The 25th Northeastern Symposium on Mathematical Analysis 2024)
  • On Glassey’s conjecture for nonlinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime
    (2022)
  • Blow up of solutions of semilinear wave equations in Friedmann-Lemaˆıtre- Robertson-Walker spacetime
    (2021)
  • Blow up of solutions of semilinear wave equations with scale- invariant damping relevant to nonlinear waves in FLRW spacetime
    (2019)
ｍore...
Works (4)：
  • クライン・ゴルドン・ザハロフ方程式の時間局所適切性について
    1998 -
  • Local well-posedness for the Klein-Gordon-Zakharov equations
    1998 -
  • ポテンシャルのついた波動方程式の解の爆発について
    1997 -
  • Blow-up for nonlinear wave equations with a potential
    1997 -
Professional career (1)：
  • Ph.D. (Waseda University)
Association Membership(s) (2)：
日本数学会 ,  Mathematical Society of Japan
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