Indirect boundary stabilization for weakly coupled degenerate wave equations under fractional damping

Rachid Benzaid; Abbes Benaissa

Indirect boundary stabilization for weakly coupled degenerate wave equations under fractional damping

Analysis of PDEs 2023-10-18 v1

Authors: Rachid Benzaid , Abbes Benaissa

Abstract

In this paper, we consider the well-posedness and stability of a one-dimensional system of degenerate wave equations coupled via zero order terms with one boundary fractional damping acting on one end only. We prove optimal polynomial energy decay rate of order $1/t^{(3-\tau)}$ . The method is based on the frequency domain approach combined with multiplier technique.

Keywords

degenerate wave equations weak coupling fractional damping boundary stabilization polynomial energy decay frequency domain multiplier technique

Cite

@article{arxiv.2310.11174,
  title  = {Indirect boundary stabilization for weakly coupled degenerate wave equations under fractional damping},
  author = {Rachid Benzaid and Abbes Benaissa},
  journal= {arXiv preprint arXiv:2310.11174},
  year   = {2023}
}

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