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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.
@article{COCV_2001__6__361_0,
author = {Ammari, Kais and Tucsnak, Marius},
title = {Stabilization of second order evolution equations by a class of unbounded feedbacks},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {361--386},
publisher = {EDP-Sciences},
volume = {6},
year = {2001},
mrnumber = {1836048},
zbl = {0992.93039},
language = {en},
url = {http://geodesic.mathdoc.fr/item/COCV_2001__6__361_0/}
}
TY - JOUR AU - Ammari, Kais AU - Tucsnak, Marius TI - Stabilization of second order evolution equations by a class of unbounded feedbacks JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2001 SP - 361 EP - 386 VL - 6 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/item/COCV_2001__6__361_0/ LA - en ID - COCV_2001__6__361_0 ER -
%0 Journal Article %A Ammari, Kais %A Tucsnak, Marius %T Stabilization of second order evolution equations by a class of unbounded feedbacks %J ESAIM: Control, Optimisation and Calculus of Variations %D 2001 %P 361-386 %V 6 %I EDP-Sciences %U http://geodesic.mathdoc.fr/item/COCV_2001__6__361_0/ %G en %F COCV_2001__6__361_0
Ammari, Kais; Tucsnak, Marius. Stabilization of second order evolution equations by a class of unbounded feedbacks. ESAIM: Control, Optimisation and Calculus of Variations, Tome 6 (2001), pp. 361-386. http://geodesic.mathdoc.fr/item/COCV_2001__6__361_0/