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Stabilization of two coupled wave equations on a compact manifold with boundary
Journal article   Peer reviewed

Stabilization of two coupled wave equations on a compact manifold with boundary

L. Aloui and M. Daoulatli
Journal of mathematical analysis and applications, Vol.436(2), pp.944-969
15/04/2016
DOI: https://doi.org/10.1016/j.jmaa.2015.12.014

Abstract

Coupled wave Energy decay Stabilization
In this paper we study the indirect stabilization of coupled wave equations by an order one term on a compact manifold with boundary. Only one of the two equations is directly damped by a localized damping term. We prove that the energy of smooth solutions of the system decays polynomially under geometric conditions on both the coupling and the damping regions.

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