11 citations · 14 across the 4 of their papers we have counts for
4 papers
Wave front set of solutions to Schrödinger equations with perturbed harmonic oscillators
Keiichi Kato, Shingo Ito
In this paper, we determine the wave front sets of solutions to Schrödinger equations of a harmonic oscillator with sub-quadratic perturbation by using the representation of the Sc…
Singularities for solutions to time dependent Schrödingier equations with sub-quadratic potential
Keiichi Kato, Shingo Ito
In this article, we determine the wave front sets of solutions to time dependent Schrödinger equations with a sub-quadratic potential by using the representation of the Schrdingier…
Remark on characterization of wave front set by wave packet transform
Keiichi Kato, Masaharu Kobayashi, Shingo Ito
In this paper, we give characterizations of usual wave front set and Sobolev type wave front set in terms of wave packet transform without any restriction on basic wave packet.
Estimates on modulation spaces for Schrödinger evolution operators with quadratic and sub-quadratic potentials
Keiichi Kato, Masaharu Kobayashi, Shingo Ito
In this paper we give new estimates for the solution to the Schrödinger equation with quadratic and sub-quadratic potentials in the framework of modulation spaces.