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J-GLOBAL ID:200901059514400086   Update date: Apr. 26, 2024

KATO MASAKAZU

カトウ マサカズ | KATO MASAKAZU
Affiliation and department:
Research field  (1): Mathematical analysis
Research theme for competitive and other funds  (2):
  • 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
Papers (10):
  • Masakazu Kato, Hideo Kubo. On the Cauchy Problem for the Nonlinear Wave Equation with Damping and Potential. Trends in Mathematics. 2022. 45-61
  • Takuto Imai, Masakazu Kato, Hiroyuki Takamura, Kyouhei Wakasa. The lifespan of solutions of semilinear wave equations with the scale-invariant damping in two space dimensions. Journal of Differential Equations. 2020. 269. 10. 8387-8424
  • Takuto Imai, Masakazu Kato, Hiroyuki Takamura, Kyouhei Wakasa. The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions. K.Kato & T.ogawa & T.Ozawa ed. "Asymptotic Analysis for Nonlinear Dispersive and Wave Equations", Advanced Studies in Pure Mathematics. 2019. 81. 31-53
  • Masakazu Kato, Miku Sakuraba. Global existence and blow-up for semilinear damped wave equations in three space dimensions. Nonlinear Analysis, Theory, Methods and Applications. 2019. 182. 209-225
  • Masakazu Kato, Hiroyuki Takamura, Kyouhei Wakasa. The lifespan of solutions of semilinear wave equations with the scale-invariant damping in one space dimension. Differential and Integral Equations. 2019. 32. 11-12. 659-678
more...
MISC (3):
  • Masakazu Kato. Sharp asymptotics for the damped wave equations. 数理解析研究所講究録. 2014. 1914. 66-75
  • Masakazu Kato. Stability of solitary waves for the coupled BBM equations. 数理解析研究所講究録. 2014. 1883. 21-29
  • Masakazu Kato. Sharp asymptotics for the generalized Burgers equations. 数理解析研究所講究録. 2008. 1592. 130-142-142
Lectures and oral presentations  (40):
  • 弱い消散項を伴う非線型波動方程式の解の時間大域存在と爆発につい
    (室蘭工業大学数理科学談話会 2024)
  • 消散項とポテンシャル項を伴う非線型波動方程式の臨界指数について
    (One day workshop on Nonlinear wave equations (北海道大学) 2023)
  • 低階項を伴う非線型消散型波動方程式の臨界指数とライフスパンについて
    (第3回高専間ネットワークによる微分方程式研究会)
  • Critical exponent for nonlinear wave equations with damping and potential terms
    (第10回弘前非線形方程式研究会)
  • 低階項を持つ非線型波動方程式の臨界指数について
    (室蘭工大PDE 研究会)
more...
Professional career (2):
  • 博士 (理学) (大阪大学)
  • 博士 (理学) (Osaka University)
Work history (3):
  • 2024/04 - 現在 University of Hyogo
  • 2009/10 - 2024/03 Muroran Institute of Technology Graduate School of Engineering College of Liberal Arts
  • 2008/08 - 2009/09 Tohoku University Graduate School of Science Department of Mathematics
Committee career (2):
  • 2015/03 - 2016/02 日本数学会 地方区代議員
  • 2014/03 - 2015/02 日本数学会 全国区代議員
Association Membership(s) (1):
日本数学会
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