%0 Journal Article
%T Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions
%A St¨¦phane Gerbi
%A Belkacem Said-Houari
%J Mathematics
%D 2008
%I arXiv
%X In 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.
%U http://arxiv.org/abs/0810.1013v1