Exponential decay for Kirchhoff wave equation with nonlocal condition in a noncylindrical domain
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Data
2004-06-01
Autores
Ferreira, J.
Santos, M. L.
Matos, M. P.
Bastos, W. D.
Título da Revista
ISSN da Revista
Título de Volume
Editor
Elsevier B.V.
Resumo
In this paper, we prove the exponential decay as time goes to infinity of regular solutions of the problem for the Kirchhoff wave equation with nonlocal condition and weak dampingu(tt) - M (\\delU\\(2)(2)) Deltau + integral(0)(t) g(t - s)Deltau(.,s) ds + alphau(t) = 0, in (Q) over cap,where (Q) over cap is a noncylindrical domain of Rn+1 (n greater than or equal to 1) with the lateral boundary (&USigma;) over cap and alpha is a positive constant. (C) 2004 Elsevier Ltd. All rights reserved.
Descrição
Palavras-chave
Kirchhoff wave equation, noncylindrical domain, exponential decay
Como citar
Mathematical and Computer Modelling. Oxford: Pergamon-Elsevier B.V., v. 39, n. 11-12, p. 1285-1295, 2004.