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Eventual differentiability of coupled wave equations with local Kelvin-Voigt damping

  • * Corresponding author: Ahmed Bchatnia

    * Corresponding author: Ahmed Bchatnia 
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  • In this work, we consider a coupled wave equations with partially and locally distributed Kelvin-Voigt damping, where only one equation is dissipative.

    Under the assumption that the damping coefficient changes smoothly near the interface of the damped and undamped regions, we investigate the effectiveness of the indirect control, and we prove that the associated semigroup is eventually differential.

    Mathematics Subject Classification: Primary: 93D15, 93D20; Secondary: 35B40.


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