Stabilization of a nonlinear Schrodinger equation with inhomogeneous boundary value
by
Turker Ozsari
Department of Mathematics, University of Virginia

In this talk, we prove the decay of energy of solutions of the weakly damped Schrodinger equation with inhomogeneous Dirichlet boundary condition. We prove that if we impose a decaying condition on the boundary condition in a reasonable sense then we get stabilization of the energy. In addition, we observe that decay rate of the boundary function controls the decay rate of energy of the solutions.

Date received: July 20, 2007