Article Dans Une Revue Journal of Mathematical Analysis and Applications Année : 2021

Rational energy decay rate for the wave equation with delay term on the dynamical control

Résumé

We consider the wave equation with a delay term in the dynamical control. If the delay term is small enough, we establish the strong stability of this system, but show that it is not exponentially stable. We then prove that the system with delay has the same rational decay rate than the one without delay.

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Dates et versions

hal-03492566 , version 1 (21-11-2022)

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Gilbert Bayili, Serge Nicaise, Roland Silga. Rational energy decay rate for the wave equation with delay term on the dynamical control. Journal of Mathematical Analysis and Applications, 2021, 495, pp.124693 -. ⟨10.1016/j.jmaa.2020.124693⟩. ⟨hal-03492566⟩
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