Interior feedback stabilization of wave equations with dynamic boundary delay - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2014

Interior feedback stabilization of wave equations with dynamic boundary delay

Kaïs Ammari
Stéphane Gerbi

Résumé

In this paper we consider an interior stabilization problem for the wave equation with dynamic boundary delay. We prove some stability results under the choice of damping operator. The proof of the main result is based on a frequency domain method and combines a contradiction argument with the multiplier technique to carry out a special analysis for the resolvent.
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Dates et versions

hal-00996823 , version 1 (27-05-2014)
hal-00996823 , version 2 (09-02-2016)

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Kaïs Ammari, Stéphane Gerbi. Interior feedback stabilization of wave equations with dynamic boundary delay. 2014. ⟨hal-00996823v1⟩
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