Asymptotic Behavior of the coupled Klein-Gordon-Schrödinger systems on compact manifolds
Asymptotic Behavior of the coupled Klein-Gordon-Schrödinger systems on compact manifolds
This paper is concerned with a 2-dimensional Klein-Gordon-Schrödinger system subject to two types of locally distributed damping on a compact Riemannian manifold $\mathcal{M}$ without boundary. Making use of unique continuation property, the observability inequalities, and the smoothing effect due to Aloui, we obtain exponential stability results.