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Stabilization of the wave equation with external force

By Moez Daoulatli

Abstract

We study the rate of decay of the energy functional of solutions of the wave equation with localized damping and a external force. We prove that the decay rates of the energy functional is determined from a forced differential equation.Comment: 19 page

Topics: Mathematics - Analysis of PDEs, Mathematical Physics, Mathematics - Dynamical Systems
Year: 2011
OAI identifier: oai:arXiv.org:1104.1808
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