# American Institute of Mathematical Sciences

June  2016, 5(2): 235-250. doi: 10.3934/eect.2016003

## Exponential stability of a coupled system with Wentzell conditions

 1 Laboratoire AMNEDP, Mathematics Department, USTHB, BP 32 El-Alia, Bab-Ezzouar, Algiers, Algeria, Algeria

Received  February 2016 Revised  April 2016 Published  June 2016

A coupled system of hyperbolic equations in Maxwell/wave with Wentzell conditions in a bounded domain of $\mathbb{R}^3$ is considered. Under suitable assumptions, we show the exponential stability of the system. Our method is based on an identity with multipliers that allows to show an appropriate stability estimate.
Citation: Hichem Kasri, Amar Heminna. Exponential stability of a coupled system with Wentzell conditions. Evolution Equations & Control Theory, 2016, 5 (2) : 235-250. doi: 10.3934/eect.2016003
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