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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

Corresponding Author:c.bortot@ufsc.br

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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.
23 Apr 2021Submitted to Mathematical Methods in the Applied Sciences
24 Apr 2021Submission Checks Completed
24 Apr 2021Assigned to Editor
04 May 2021Reviewer(s) Assigned
21 Jul 2021Review(s) Completed, Editorial Evaluation Pending
03 Aug 2021Editorial Decision: Revise Minor
04 Aug 20211st Revision Received
04 Aug 2021Submission Checks Completed
04 Aug 2021Assigned to Editor
24 Aug 2021Reviewer(s) Assigned
14 Sep 2021Review(s) Completed, Editorial Evaluation Pending
29 Sep 2021Editorial Decision: Accept
15 Mar 2022Published in Mathematical Methods in the Applied Sciences volume 45 issue 4 on pages 2254-2275. 10.1002/mma.7923