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

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

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. T...

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Veröffentlicht in:Axioms 2023-01, Vol.12 (1), p.48
Hauptverfasser: Beniani, Abderrahmane, Bahri, Noureddine, Alharbi, Rabab, Bouhali, Keltoum, Zennir, Khaled
Format: Artikel
Sprache:eng
Schlagworte:
Decay rate
Eigenvalues
Energy
general decay
Hilbert space
Linear operators
Mathematical analysis
semigroup theory
wave coupled system
Wave equations
Well posed problems
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Zusammenfassung: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.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms12010048