Exponential stability and exact controllability of a system of coupled wave equations by second-order terms (via Laplacian) with only one non-smooth local damping - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Mathematical Methods in the Applied Sciences Année : 2023

Exponential stability and exact controllability of a system of coupled wave equations by second-order terms (via Laplacian) with only one non-smooth local damping

Résumé

The purpose of this work is to investigate the exponential stability of a second-order coupled wave equations by Laplacian with one locally internal viscous damping. The strong stability is established by combining a unique con- tinuation result and a Carleman estimate. Besides, the exponential stability is proved under (PMGC) condition on the damping region without any restriction on wave propagation speed (i.e., whether the two wave equations propagate at the same speed or not). The proof of this result relies on the frequency domain method combined with the multiplier techniques.

Dates et versions

hal-04346686 , version 1 (15-12-2023)

Identifiants

Citer

Mohammad Akil, Zayd Hajjej. Exponential stability and exact controllability of a system of coupled wave equations by second-order terms (via Laplacian) with only one non-smooth local damping. Mathematical Methods in the Applied Sciences, 2023, ⟨10.1002/mma.9724⟩. ⟨hal-04346686⟩
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