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Inégalité d'observabilité du type logarithmique et estimation de la fonction de coût des solutions des équations hyperboliques

Published online by Cambridge University Press:  20 March 2008

Leila Ouksel
Leila Ouksel*
Affiliation:
Université de Paris Sud, Mathématiques, Bât. 425, 91405 Orsay cedex, France; Leila.Ouksel@math.u-psud.fr
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Abstract

Dans ce travail, nous donnons une estimation logarithmique des données de la solution u, d'un problème hyperbolique avec condition aux limites de type Neumann, par la trace de u restreinte à un ouvert du bord, pendant un temps suffisamment grand qui nous permet d'estimer la fonction de coût de ce problème.

Keywords

Problème hyberboliquecontrôlefonction de coûtinégalité de Carleman
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 14 , Issue 2 , April 2008 , pp. 318 - 342
Copyright
© EDP Sciences, SMAI, 2008

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