Indirect stabilization of semilinear coupled wave systems
Stabilisation indirecte de systèmes d'ondes couplées
Résumé
In this paper, we study the indirect stabilization problem for a system of two coupled semilinear wave equations with internal damping in a bounded domain in $\mathbb{R}^3$. The nonlinearity is assumed to be subcritical, defocusing and analytic. Under geometric control condition on both coupling and damping regions, we establish the exponential energy decay rate.
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