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.
@article{4717, title = {The Cauchy Problem for Schr\"odinger Equations with Time-Dependent Hamiltonian}, journal = {Bruno Pini Mathematical Analysis Seminar}, year = {2014}, doi = {10.6092/issn.2240-2829/4717}, language = {EN}, url = {http://dml.mathdoc.fr/item/4717} }
Cicognani, Massimo. The Cauchy Problem for Schrödinger Equations with Time-Dependent Hamiltonian. Bruno Pini Mathematical Analysis Seminar, (2014), . doi : 10.6092/issn.2240-2829/4717. http://gdmltest.u-ga.fr/item/4717/