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Uniform stabilization of wave equation with localized internal damping and acoustic boundary condition with viscoelastic damping

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Abstract

In this paper, we deal with the uniform stabilization to the mixed problem for a nonlinear wave equation and acoustic boundary conditions on a non-locally reacting boundary. The main purpose is to study the stability when the internal damping acts only over a subset \(\omega \) of the domain \(\Omega \) and the boundary damping is of the viscoelastic type.

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Authors and Affiliations

  1. Departamento de Matemática, Universidade Estadual de Maringá, Maringá, PR, Brazil

    Cícero Lopes Frota

  2. Centro de Ciências Exatas e Tecnológicas, Universidade Estadual do Oeste do Paraná, Cascavel, PR, Brazil

    André Vicente

Authors
  1. Cícero Lopes Frota
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  2. André Vicente
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Correspondence to André Vicente.

Additional information

A. Vicente was supported in part by Fundação Araucária conv. 151/2014.

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Frota, C.L., Vicente, A. Uniform stabilization of wave equation with localized internal damping and acoustic boundary condition with viscoelastic damping. Z. Angew. Math. Phys. 69, 85 (2018). https://doi.org/10.1007/s00033-018-0977-y

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  • DOI: https://doi.org/10.1007/s00033-018-0977-y

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