2 papers
math.AP2026
Wave front set of solutions to Schrödinger equations with time-dependent magnetic fields
Fumihito Abe, Ryo Muramatsu
In this paper, we determine the wave front set of solutions to the Schrödinger equation with time-dependent magnetic fields. We considered time-dependent and `not so small' magneti…
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…