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Stability for Weakly Coupled Wave Equations with a General Internal Control of Diffusive Type
Journal article   Open access  Peer reviewed

Stability for Weakly Coupled Wave Equations with a General Internal Control of Diffusive Type

Abderrahmane Beniani, Noureddine Bahri, Rabab Alharbi, Keltoum Bouhali and Khaled Zennir
Axioms, Vol.12(1), p.48
01/01/2023

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The present paper deals with well-posedness and asymptotic stability for weakly coupled wave equations with a more general internal control of diffusive type. Owing to the semigroup theory of linear operator, the well-posedness of system is proved. Furthermore, we show a general decay rate result. The method is based on the frequency domain approach combined with multiplier technique.
url
https://doi.org/10.3390/axioms12010048View
Published (Version of record) Open

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