Fundamental solution global in time for a class of Schrödinger equations with time-dependent potentials

Details Fundamental solution global in time for a class of Schrödinger equations with time-dependent potentials Fundamental solution global in time for a class of Schrödinger equations with time-dependent potentials

2006-07-04

arxiv.org/abs/math/0607101v1

Mathematics

Analysis of PDEs

To appear in Communications in Mathematical Analysis, Volume 1 No. 2 (2006)

Scientific paper

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.

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