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, 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