11 citations · 18 across the 10 of their papers we have counts for
8 papers · 1 filter
Estimates on modulation spaces for Schrödinger operators with time-dependent sub-linear vector potentials
Keiichi Kato, Ryo Muramatsu
In this paper, we give estimates of the solutions to Schrödinger equation on modulation spaces with vector potential of sub-linear growth.
Singularity for Solutions of Linearized KdV Equations
Keiichi Kato, Masaki Kawamoto, Koichiro Nanbu
We investigate the time propagation of singularity of a solution to linearized KdV equation by using the characterization of wave front sets with using to the wave packet transform…
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…
Estimates in the modulation spaces for the Dirac equation with potential
Keiichi Kato, Ivan Naumkin
In the present paper we obtain estimates in the modulation spaces for the solutions to the Dirac equation with quadratic and sub-quadratic potentials. We derive a representation fo…
Characterization of the ranges of wave operators for Schrodinger equations with time-dependent short-range potentials via wave packet transform
Taisuke Yoneyama, Keiichi Kato
In this paper, we give a characterization of the ranges of the wave operators for Schrodinger equations with time-dependent short-range potentials by using wave packet transform. W…
Scattering theory for Schrodinger equations with time-dependent short-range potentials via wave packet transform
Taisuke Yoneyama, Keiichi Kato
In this paper, we consider the existence and the asymptotic completeness of the wave operators for Schrodinger equations with time-dependent potentials which are short-range in spa…