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Zeitschrift für Analysis und ihre Anwendungen


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Volume 36, Issue 3, 2017, pp. 297–327
DOI: 10.4171/ZAA/1590

Published online: 2017-07-17

Interior Feedback Stabilization of Wave Equations with Dynamic Boundary Delay

Kaïs Ammari[1] and Stéphane Gerbi[2]

(1) University of Monastir, Tunisia
(2) Université Savoie Mont Blanc, Le-Bourget-du-Lac, France

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.

Keywords: Interior stabilization, dynamic boundary conditions, dynamic boundary delay, wave equations

Ammari Kaïs, Gerbi Stéphane: Interior Feedback Stabilization of Wave Equations with Dynamic Boundary Delay. Z. Anal. Anwend. 36 (2017), 297-327. doi: 10.4171/ZAA/1590