The Cauchy Problem for Schrödinger Equations with Time-Dependent Hamiltonian

We consider the Cauchy problem for a Schrödinger equation with an Hamiltonian depending also on the time variable and that may vanish at t = 0. We find optimal Levi conditions for well-posedness in Sobolev and Gevrey spaces.

Bibliographic Details
Main Author: Massimo Cicognani
Format: Article
Language:English
Published: University of Bologna 2014-12-01
Series:Bruno Pini Mathematical Analysis Seminar
Subjects:
Online Access:http://mathematicalanalysis.unibo.it/article/view/4717