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Stability result for viscoelastic wave equation with dynamic boundary conditions

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Abstract

In this paper, we consider wave viscoelastic equation with dynamic boundary condition in a bounded domain, and we establish a general decay result of energy by exploiting the frequency domain method which consists in combining a contradiction argument and a special analysis for the resolvent of the operator of interest with assumptions on past history relaxation function.

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Authors and Affiliations

  1. UR Analysis and Control of PDE’s, UR 13ES64, Department of Mathematics, Faculty of Sciences of Monastir, University of Monastir, 5019, Monastir, Tunisia

    Akram Ben Aissa

  2. Department of Mathematics, USTO University, 31000, Oran, Algeria

    Mohamed Ferhat

Authors
  1. Akram Ben Aissa
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  2. Mohamed Ferhat
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Correspondence to Akram Ben Aissa.

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Ben Aissa, A., Ferhat, M. Stability result for viscoelastic wave equation with dynamic boundary conditions. Z. Angew. Math. Phys. 69, 95 (2018). https://doi.org/10.1007/s00033-018-0983-0

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  • DOI: https://doi.org/10.1007/s00033-018-0983-0

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