Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 179, pp. 1-16.

Title: Uniform decay for a local dissipative Klein-Gordon-Schrodinger 
       type system
 
Authors: Marilena N. Poulou (National Technical Univ., Greece)
         Nikolaos M. Stavrakakis (National Technical Univ., Greece)

Abstract:
 In this article, we consider a nonlinear Klein-Gordon-Schrodinger
 type system in  $\mathbb{R}^n$, where the nonlinear term exists and
 the damping term is effective. We prove the existence and uniqueness 
 of a global  solution and its exponential decay. The result is 
 achieved by using the multiplier technique.
 
Submitted June 7, 2012. Published October 17, 2012.
Math Subject Classifications: 35L70, 35B40.
Key Words: Klein-Gordon-Schrodinger system; localized damping; 
          existence and uniqueness; energy decay.