Contrôlabilité Exacte d'Un Problème avec Conditions de Ventcel Évolutives pour le Système Linéaire de l'Élasticité

Amar Heminna

Abstract: In this work, we examine the exact controllability of the solution of a linear elasticity system, with evolutive Ventcel's conditions [3] in a bounded domain of $\reel^3$. We use the Hilbert uniqueness methode, (H.U.M), of J.L.\ Lions [8]; some multipliers are defined on the boundary; the curvature tensor (see [5]), appears when computing some boundary integrals. This work can be inserted in the framework of the study of the exact controllability and stabilisation of various problems with Ventcel's conditions [3,4].

Keywords: Elasticité; Problème de Ventcel; Contrôlabilité.

Classification (MSC2000): 93B03, 93B05, 93D15.

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