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arXiv · 2310.11174

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

Rachid Benzaid·Abbes Benaissa
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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 $1/t^{(3-τ)}$. The method is based on the frequency domain approach combined with multiplier technique.

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Rachid Benzaid, Abbes Benaissa. 2023-10-17. Indirect boundary stabilization for weakly coupled degenerate wave equations under fractional damping. https://arxiv.org/abs/2310.11174

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