| Issue |
ESAIM: COCV
Volume 6, 2001
|
|
|---|---|---|
| Page(s) | 361 - 386 | |
| DOI | https://doi.org/10.1051/cocv:2001114 | |
| Published online | 15 August 2002 | |
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,
France
Received:
19
October
2000
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
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