$H^s$ wave front set for Schrödinger equations with sub-quadratic potential

Abstract

. The aim of this work is to study regularity of solutions of the initial value problem for the Schr(cid:127)odinger equations with sub-quadratic potential. More precisely, we determine the H s wave front sets of solutions from the behavior at in(cid:12)nity of the initial data by using the characterization of the H s wave front set via wave packet transform.