Remarks on stabilization of second-order evolution equations by unbounded dynamic feedbacks |
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| Authors: | Zainab Abbas Kaïs Ammari Denis Mercier |
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| Affiliation: | 1.UR Analysis and Control of PDEs, UR 13ES64, Department of Mathematics, Faculty of Sciences of Monastir,University of Monastir,Monastir,Tunisia;2.Laboratoire de Mathématiques et ses Applications de Valenciennes, FR CNRS 2956, Institut des Sciences et Techniques de Valenciennes,Université de Valenciennes et du Hainaut-Cambrésis,Valenciennes Cedex 9,France |
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| Abstract: | In this paper, we consider second-order evolution equations with unbounded dynamic feedbacks. Under a regularity assumption, we show that observability properties for the undamped problem imply decay estimates for the damped problem. We consider both uniform and non-uniform decay properties. |
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