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math.AP2019
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…
math.AP2012★ 11 cited
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.