中科院数学与系统科学研究院
数学研究所
调和分析及其应用中心
学术报告会
报告人:Prof. Keiichi Kato （Tokyo University of Science, Japan）
题 目：Wave packet transform and singularities of solutions to Schrödinger equations
时 间：2017.10.11（星期三），10:30-11:30
地 点：南楼902室
Abstarct: We study singularities of solutions to Schrödinger equations. In general, solutions to Schrödinger equations are smooth, if the initial functions decay rapidly at infinity. In this talk, we give a necessary and sufficient condition of initial functions that the solution is smooth at each point in space time. We investigate so-called wave front set of solutions by using wave packet transform.