2 papers
math.AP2024
Singularities of solutions to nonlinear Schrödinger equations
Fumihito Abe, Keiichi Kato
We study the wave front set of the solutions of the initial value problem for nonlinear Schrödinger equations via wave packet transform. We give an sufficient condition which assur…
math.AP2024
Remark on Estimates in Modulation Spaces for Schrödinger Evolution Operators with Sub-quadratic Potentials
Kosuzu Hamaoka, Keiichi Kato, Shun Takizawa
In this paper we give an estimate for the solution to the Schrödinger equation with sub-quadratic potentials in modulation spaces by the norm of the initial functions in Wiener-Ama…