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observability inequality

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Stabilization of second order evolution equations by a class of unbounded feedbacks
Kais Ammari, Marius Tucsnak
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 6 / 2001

Published online by Cambridge University Press:

15 August 2002, pp. 361-386

Print publication:

2001
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In this paper we consider second order evolution equations with unbounded 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.