Interior feedback stabilization of wave equations with dynamic boundary delay

Kaïs Ammari; Stéphane Gerbi

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arXiv · 1405.6865

Interior feedback stabilization of wave equations with dynamic boundary delay

Kaïs Ammari·Stéphane Gerbi

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Abstract

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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Kaïs Ammari, Stéphane Gerbi. 2014-05-27. Interior feedback stabilization of wave equations with dynamic boundary delay. https://arxiv.org/abs/1405.6865

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