Fundamental solution global in time for a class of Schr\"odinger equations with time-dependent potentials
Analysis of PDEs
2007-05-23 v1 Spectral Theory
Abstract
Fundamental solution for a Schr\"odinger 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.
Keywords
Cite
@article{arxiv.math/0607101,
title = {Fundamental solution global in time for a class of Schr\"odinger equations with time-dependent potentials},
author = {Hitoshi Kitada},
journal= {arXiv preprint arXiv:math/0607101},
year = {2007}
}
Comments
To appear in Communications in Mathematical Analysis, Volume 1 No. 2 (2006)