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Asymptotic Behavior of the coupled Klein-Gordon-Schrödinger systems on compact manifolds
  • César Augusto Bortot,
  • Thales Maier Souza,
  • Janaina Zanchetta
César Augusto Bortot
Universidade Federal de Santa Catarina
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Thales Maier Souza
Universidade Federal de Santa Catarina
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Janaina Zanchetta
Universidade Estadual de Maringa
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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.

Peer review status:UNDER REVIEW

23 Apr 2021Submitted to Mathematical Methods in the Applied Sciences
24 Apr 2021Assigned to Editor
24 Apr 2021Submission Checks Completed
04 May 2021Reviewer(s) Assigned