期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 59, 期 2, 页码 1003-1018出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2009.09.008
关键词
Wave equation; Glerkin approximation; Asymptotic behavior; Boundary stabilization
In this paper,we prove the existence, uniqueness and uniform stability of strong and weak solutions of the nonlinear wave equation u(tt) - Delta u + b(x)u(t) + f(u) = 0 in bounded domains with nonlinear damped boundary conditions, given by partial derivative u/partial derivative v+g(u(t)) = 0, with restrictions on function f(u), g(u(t)) and b(x),. We prove the existence by means of the Glerkin method and obtain the asymptotic behavior by using of the multiplier technique from the idea of Kmornik and Zuazua (see [7]). (C) 2009 Published by Elsevier Ltd
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