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Comptes Rendus Mathématique
Volume 352, n° 3
pages 213-218 (mars 2014)
Doi : 10.1016/j.crma.2014.01.005
Received : 23 September 2013 ;  accepted : 15 January 2014
Asymptotic stability of the semilinear wave equation with boundary damping and source term
Stabilité asymptotique des solutions de l'équation des ondes semi-linéaire avec amortissement et terme source dans les conditions aux limites
 

Tae Gab Ha
 Department of Mathematics, Pusan National University, 609-735, Republic of Korea 

Abstract

In this paper, we consider the semilinear wave equation with boundary conditions. This work is devoted to prove the uniform decay rates of the wave equation with boundary, without imposing any restrictive growth near-zero assumption on the damping term.

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Résumé

Dans cet article, on considère l'équation des ondes semi-linéaire avec conditions aux limites. L'étude consiste à établir la décroissance uniforme des solutions du problème posé sans imposer de restrictions de croissance sur le terme d'amortissement au voisinage de zéro.

The full text of this article is available in PDF format.


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