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Polynomial stability for wave equations with acoustic boundary conditions and boundary memory damping

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  • Li, Chan
  • Liang, Jin
  • Xiao, Ti-Jun

Abstract

We study wave equations with acoustic boundary conditions, where only one memory damping acts on the acoustic boundary. Under some conditions on the memory kernel, polynomial energy decay rates are established by using higher-order energy estimates among some other techniques.

Suggested Citation

  • Li, Chan & Liang, Jin & Xiao, Ti-Jun, 2018. "Polynomial stability for wave equations with acoustic boundary conditions and boundary memory damping," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 593-601.
    • Handle: RePEc:eee:apmaco:v:321:y:2018:i:c:p:593-601
    DOI: 10.1016/j.amc.2017.11.019
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    Cited by:

    1. Alcântara, Adriano A. & Carmo, Bruno A. & Clark, Haroldo R. & Guardia, Ronald R. & Rincon, Mauro A., 2021. "On a nonlinear problem with Dirichlet and Acoustic boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 411(C).

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