Research theme for competitive and other funds (3):
2019 - 2023 波動方程式に関連する偏微分方程式の解の波面集合の伝播に関する研究
2015 - 2018 非線形双曲型偏微分方程式の解の特異性伝播に関する研究
2013 - 2016 Research on Schroedinger equations by wave packet transform
Papers (17):
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
Keiichi Kato, Masaharu Kobayashi, Shingo Ito, Tadashi Takahashi. Representation of higher-order dispersive operators via short-time Fourier transform and its application. Tohoku Mathematical Journal. 2021. 73. 1. 105-118
Shingo Ito, Gyokai Nikaido. Quantities related to the openness constant of linear operators. Advances in operator theory. 2020. 5. 2. 404-412
KATO KEIICHI, KOBAYASHI MASAHARU, ITO SHINGO. REMARK ON CHARACTERIZATION OF WAVE FRONT SET BY WAVE PACKET TRANSFORM. Osaka Journal of Mathematics. 2017. 54. 2. 209-228
Keiichi Kato, Masaharu Kobayashi, Shingo Ito. Estimates for Schr_dinger operators on modulation spaces. RIMS K_ky_roku Bessatsu. 2016. B60
Kato Keiichi, Ito Shingo. Application of wave packet transform to time dependent Schrodinger equations (Spectral and Scattering Theory and Related Topics). RIMS Kokyuroku. 2014. 1902. 124-136