no. 3
Partial differential equations
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]

Présenté par : the Editorial Board

Ha, Tae Gab1
1 Department of Mathematics, Pusan National University, 609-735, Republic of Korea
Comptes Rendus. Mathématique, Tome 352 (2014) no. 3, pp. 213-218.

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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2014.01.005
Ha, Tae Gab 1

1 Department of Mathematics, Pusan National University, 609-735, Republic of Korea 
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Ha, Tae Gab. Asymptotic stability of the semilinear wave equation with boundary damping and source term. Comptes Rendus. Mathématique, Tome 352 (2014) no. 3, pp. 213-218. doi : 10.1016/j.crma.2014.01.005. http://www.numdam.org/articles/10.1016/j.crma.2014.01.005/

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