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

Abstract

In this paper, we consider the second initial boundary value problem for strongly general Schrodinger systems in both the finite and the infinite cylinders $Q_T, 0<Tleq +infty$, with non-smooth base $Omega$. Some results on the existence, uniqueness and smoothness with respect to time variable of generalized solution of this problem are given.

Keywords

• Second initial boundary value problem
• Schrodinger systems
• generalized solution
• existence
• uniqueness
• smoothness