Stabilization of second order evolution equations by a class of unbounded feedbacks
Institut Elie Cartan, Département de
Mathématiques, Université de Nancy I, 54506 Vandœuvre-lès-Nancy Cedex,
Revised: 19 February 2001
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.
Mathematics Subject Classification: 93B52 / 93D15 / 93B07
Key words: Stabilization / observability inequality / second order evolution equations / unbounded feedbacks.
© EDP Sciences, SMAI, 2001