Full paper in PDF:
$%A. Heminna, Contrôlabilité exacte d’un problème avec conditions de Ventcel évolutives pour le système linéaire de l’élasticité, Rev. Mat. Complut. 14 (2001), no. 1, 231270.%$

Contrôlabilité exacte d’un problème avec conditions de Ventcel évolutives pour le système linéaire de l’élasticité
Amar HEMINNA
Instuitut de Mathématiques
USTHB, B.P. 32
EL-Alia, 16111 Alger — Algeria

Received: April 27, 1999
Revised: May 10, 2000

ABSTRACT

In this work, we examine the exact controllability of the solution of a linear elasticity system with evolutive Ventcel’s conditions (see Heminna (1997)) in a bounded domain of R3. We use the Hilbert uniqueness method (H.U.M) of J. L. Lions (see Lions (1986)). Some multipliers are defined on the boundary. The curvature tensor (see Hughes and Marsden) appears when computing some boundary integrals. This work can be inserted in the framework of the study of the exact controllability and stabilization of various problems with Ventcel’s conditions (see Heminna (1997, 1999)).

2000 Mathematics Subject Classification: 93B03, 93B05, 93D15.