Fundamental solution global in time for a class of Schrödinger equations with time-dependent potentials
arXiv:math/0607101
Abstract
Fundamental solution for a Schrödinger equation with a time-dependent potential of long-range type is constructed. The solution is given as a Fourier integral operator with a symbol uniformly bounded global in time, when measured in natural semi-norms of a symbol class.
To appear in Communications in Mathematical Analysis, Volume 1 No. 2 (2006)