Geodesic
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 Cet article a éte moissonné depuis la source Numdam

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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.

Classification : 93B52, 93D15, 93B07
Keywords: stabilization, observability inequality, second order evolution equations, unbounded feedbacks 
@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},
     year = {2001},
     publisher = {EDP-Sciences},
     volume = {6},
     mrnumber = {1836048},
     zbl = {0992.93039},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/COCV_2001__6__361_0/}
}
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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/