Existence and smoothness of solutions to second initial boundary value problems for Schrödinger systems in cylinders with non-smooth bases

Abstract

In this paper, we consider the second initial boundary value problem for strongly general Schrödinger systems in both the finite and the infinite cylinders QT, 0 < T ≤ +∞, with non-smooth base Ω. Some results on the existence, uniqueness and smoothness with respect to time variable of generalized solution of this problem are given. © 2008 Texas State University.