Exponential decay for a Klein–Gordon–Schrödinger system with locally distributed damping

Abstract

A coupled damped Klein–Gordon–Schrödinger equations are considered where Ω is a bounded domain of R 2 , with smooth boundary Γ and ω is a neighbourhood of ∂ Ω satisfying the geometric control condition. The aim of the paper is to prove the existence, uniqueness and uniform decay for the solutions.