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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114152Fundamental 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)Analysis of PDEsSpectral Theory35C15, 35J10Fundamental solution global in time for a class of Schrödinger equations with time-dependent potentialstext