Remark on stabilization of second order evolution equations by unbounded dynamic feedbacks and applications

Zainab Abbas; Kais Ammari; Denis Mercier

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arXiv · 1407.3070

Remark on stabilization of second order evolution equations by unbounded dynamic feedbacks and applications

Zainab Abbas·Kais Ammari·Denis Mercier

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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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Zainab Abbas, Kais Ammari, Denis Mercier. 2014-07-11. Remark on stabilization of second order evolution equations by unbounded dynamic feedbacks and applications. https://arxiv.org/abs/1407.3070

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