INDIRECT BOUNDARY STABILIZATION FOR WEAKLY COUPLED DEGENERATE WAVE EQUATIONS UNDER FRACTIONAL DAMPING

Rachid Benzaid; Abbes Benaissa

doi:10.11948/20230374

2024 Volume 14 Issue 3

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Rachid Benzaid, Abbes Benaissa. INDIRECT BOUNDARY STABILIZATION FOR WEAKLY COUPLED DEGENERATE WAVE EQUATIONS UNDER FRACTIONAL DAMPING[J]. Journal of Applied Analysis & Computation, 2024, 14(3): 1735-1770. doi: 10.11948/20230374

Citation:

Rachid Benzaid, Abbes Benaissa. INDIRECT BOUNDARY STABILIZATION FOR WEAKLY COUPLED DEGENERATE WAVE EQUATIONS UNDER FRACTIONAL DAMPING[J]. Journal of Applied Analysis & Computation, 2024, 14(3): 1735-1770. doi: 10.11948/20230374

INDIRECT BOUNDARY STABILIZATION FOR WEAKLY COUPLED DEGENERATE WAVE EQUATIONS UNDER FRACTIONAL DAMPING

Rachid Benzaid^1,,
Abbes Benaissa^1, ,

1.
Laboratory of Analysis and Control of PDEs, Faculty of Exact Sciences, B.P 89, Sidi Bel Abbes 22000, Algeria

Author Bio: Email: rachidbenzaid995@gmail.com(R. Benzaid)
Corresponding author: Email: benaissa_abbes@yahoo.com(Abbes Benaissa)

Abstract

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.
- System of coupled degenerate wave equqtions /
- fractional boundary damping /
- strong asymptotic stability /
- Bessel functions /
- optimal polynomial decay
MSC: 35B40, 35L80, 74D05, 93D15

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References

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