Uniform Decay for the Coupled Klein-Gordon-Schrodinger Equation with Linear Memory

Abstract

In this article we prove the existence and uniform decay of the solution to the mixed problem for coupled Klein-Gordon-Schrodinger equation with memory term. The existence is proved by means of the Faedo-Galerkin method and the asymptotic behavior is obtained by making use of the multiplier technique combined with integral inequalities due to Komornik.