Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions

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dc.creatorGerbi, Stéphane
dc.creatorSaid-Houari, Belkacem
dc.date2008-10-06
dc.date.accessioned2026-07-07T10:14:03Z
dc.date.available2026-07-07T10:14:03Z
dc.descriptionIn this paper we consider a multi-dimensional damped semiliear wave equation with dynamic boundary conditions, related to the Kelvin-Voigt damping. We firstly prove the local existence by using the Faedo-Galerkin approximations combined with a contraction mapping theorem. Secondly, the exponential growth of the energy and the $L^p$ norm of the solution is presented.
dc.identifierhttps://arxiv.org/abs/0810.1013
dc.identifierhttp://arxiv.org/abs/0810.1013
dc.identifierAdvances in Differential Equations 13, 11-12 (2008) 1051-1074
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172747
dc.subjectAnalysis of PDEs
dc.subject35L45, 35L70, 35B40
dc.titleLocal existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions
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