Polynomial decay rate for the dissipative wave equation

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dc.creatorPhung, Kim Dang
dc.date2003-12-15
dc.date2005-12-14
dc.date.accessioned2026-07-07T06:35:51Z
dc.date.available2026-07-07T06:35:51Z
dc.descriptionWe study the dissipative linear wave equation in a bounded domain. The exponential decay rate of the energy was established by Bardos, Lebeau and Rauch under a geometrical hypothesis linked with the geodesics. Furthermore such condition called geometric control condition is almost necessary to get a uniform exponential decay. In another hand, Lebeau proved a logarithmic decay rate for smooth solutions when no particular geometric condition is required. In this paper we give for some particular geometries a polynomial decay rate when the geometric control condition is not fulfilled.
dc.description18 pages. Major changes and improvements
dc.identifierhttps://arxiv.org/abs/math/0312281
dc.identifierhttp://arxiv.org/abs/math/0312281
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99922
dc.subjectAnalysis of PDEs
dc.subjectOptimization and Control
dc.titlePolynomial decay rate for the dissipative wave equation
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