Comptes Rendus
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

Tae Gab Ha1
1 Department of Mathematics, Pusan National University, 609-735, Republic of Korea
Comptes Rendus. Mathématique, Volume 352 (2014) no. 3, pp. 213-218.

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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2014.01.005

Tae Gab Ha 1

1 Department of Mathematics, Pusan National University, 609-735, Republic of Korea 
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Tae Gab Ha. Asymptotic stability of the semilinear wave equation with boundary damping and source term. Comptes Rendus. Mathématique, Volume 352 (2014) no. 3, pp. 213-218. doi : 10.1016/j.crma.2014.01.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.01.005/

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  • Kun-Peng Jin; Can Liu Retracted article: “Decay estimates for the wave equation with partial boundary memory damping”, Networks and Heterogeneous Media, Volume 19 (2024) no. 3, pp. 1402-1423 | DOI:10.3934/nhm.2024060 | Zbl:8010613
  • Soh Edwin Mukiawa; Salim A. Messaoudi Blow up result for a viscoelastic plate equation with nonlinear source, Boletim da Sociedade Paranaense de Matemática. Terceira Série, Volume 41 (2023), p. 11 (Id/No 18) | DOI:10.5269/bspm.51725 | Zbl:1549.35103
  • Tae Gab Ha Energy decay rate for the wave equation with variable coefficients and boundary source term, Applicable Analysis, Volume 100 (2021) no. 11, pp. 2301-2314 | DOI:10.1080/00036811.2019.1680828 | Zbl:1475.35045
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  • Mi Jin Lee; Jum-Ran Kang; Sun-Hye Park Blow-up of solution for quasilinear viscoelastic wave equation with boundary nonlinear damping and source terms, Boundary Value Problems, Volume 2019 (2019), p. 11 (Id/No 67) | DOI:10.1186/s13661-019-1180-6 | Zbl:1513.35349
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  • Sun-Hye Park; Mi Jin Lee; Jum-Ran Kang Blow-up results for viscoelastic wave equations with weak damping, Applied Mathematics Letters, Volume 80 (2018), pp. 20-26 | DOI:10.1016/j.aml.2018.01.002 | Zbl:1394.35055
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  • Tae Gab Ha General decay rate estimates for viscoelastic wave equation with Balakrishnan-Taylor damping, ZAMP. Zeitschrift für angewandte Mathematik und Physik, Volume 67 (2016) no. 2, p. 17 (Id/No 32) | DOI:10.1007/s00033-016-0625-3 | Zbl:1353.35064
  • Tae Gab Ha Blow-up for wave equation with weak boundary damping and source terms, Applied Mathematics Letters, Volume 49 (2015), pp. 166-172 | DOI:10.1016/j.aml.2015.05.003 | Zbl:1343.35043

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