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Local energy decay for the wave equation with a nonlinear time-dependent damping |
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| Authors: | Ahmed Bchatnia Moez Daoulatli |
| Institution: | 1. Department of Mathematics, Faculty of Sciences of Tunis , University of Tunis El Manar, Tunisia and University of Dammam , KSA ahmed.bchatnia@fst.rnu.tn;3. Department of Mathematics, Faculty of Sciences of Bizerte , University of Carthage , Tunisia |
| Abstract: | This article addresses a wave equation on a exterior domain in ? d (d odd) with nonlinear time-dependent dissipation. Under a microlocal geometric condition we prove that the decay rates of the local energy functional are obtained by solving a nonlinear non-autonomous differential equation |
| Keywords: | wave equation nonlinear dissipation internal damping decay rates time-dependent dissipation |