Asymptotic Behavior of the coupled Klein-Gordon-Schrödinger systems on compact manifolds
• César Augusto Bortot,
• Thales Maier Souza,
• Janaina Zanchetta
César Augusto Bortot
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Thales Maier Souza
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Janaina Zanchetta
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.