Research keywords (1):
partial differential equation
Research theme for competitive and other funds (4):
2009 - 2019 シュレーディンガー方程式の解の波束変換による表示とその応用
2009 - 2019 Representation of solutions to Schroedinger equations in terms of wave packet transform and its application
2002 - 2009 半線形波動方程式の特異性伝播
2002 - 2009 Propagation of singularities for semilinear wave equations
Papers (41):
Shingo Ito, Keiichi Kato. Wave front set of solutions to Schrödinger equations with perturbed harmonic oscillators. Journal of Mathematical Analysis and Applications. 2022. 507. 2. 125821-125821
Fumihito Abe and Keiichi Kato. H^s wave front set for Schrödinger equations with sub-quadratic potentlal. SUT Journal of Mathematics. 2021. 1. 57. 17-34
Keiichi Kato, Masaharu Kobayashi, Shingo Ito, Tadashi Takahashi. Representation of higher-order dispersive operators via short-time Fourier transform and its applications. TOHOKU MATHEMATICAL JOURNAL. 2021. 73. 1. 105-118
Keiichi Kato. On the reaction-diffusion system for some asymmetric synthesis. 数理解析研究所講究録. 2007. 1563. 141-147
Keiichi Kato. On the existence of solutions to the Benjamin-Ono equation with non differentiable initial data. GAKUTO International Series-Mathematical Sciences and Applications. 2006. 26. 101-109
Keiichi Kato, Takayoshi Ogawa, Elena Kaikina, Pavel Naumkin. Analytic smoothing effect for the Benjamin-Ono equations. 数理解析研究所講究録. 2001. 1204. 77-84