Asymptotic Behavior of the coupled Klein-Gordon-Schrödinger systems on
compact manifolds
Abstract
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.