Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 35, pp. 1-11.

Title: Existence and smoothness of solutions to second initial 
       boundary value  problems for Schrodinger systems in 
       cylinders with non-smooth bases
 
Authors: Nguyen Manh Hung   (Hanoi Univ. of Education,  Hanoi, Vietnam)
         Nguyen Thi Kim Son (Hanoi Univ., of Education, Hanoi, Vietnam)

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 $Q_T, 0<T\leq +\infty$, 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.
 
Submitted December 5, 2007. Published March 12, 2008.
Math Subject Classifications: 35D05, 35D10, 35G99.
Key Words: Second initial boundary value problem;  Schrodinger systems;
           generalized solution; existence; uniqueness; smoothness.