Stabilization of second order evolution equations by a class of unbounded feedbacks

Authors
Ammari, K Tucsnak, M
Citation
K. Ammari et M. Tucsnak, Stabilization of second order evolution equations by a class of unbounded feedbacks, ESAIM CO OP, 6(14), 2001, pp. 361-386
Citations number
27
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
ISSN journal
12623377 → ACNP
Volume
6
Issue
14
Year of publication
2001
Pages
361 - 386
Database
ISI
SICI code
1262-3377(2001)6:14<361:SOSOEE>2.0.ZU;2-T
Abstract
In this paper we consider second order evolution equations with unbounded f eedbacks. Under a regularity assumption we show that observability properti es for the undamped problem imply decay estimates for the damped problem. W e consider both uniform and non uniform decay properties.