Stability for Weakly Coupled Wave Equations with a General Internal Control of Diffusive Type
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Axioms Mathematics
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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
Description
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
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Beniani, A.; Bahri, N.; Alharbi, R.; Bouhali, K.; Zennir, K. Stability for Weakly Coupled Wave Equations with a General Internal Control of Diffusive Type. Axioms 2023, 12, 48. https://doi.org/ 10.3390/axioms12010048