In this work, we examine the exact controllability of the solution of a linear elasticity system, with evolutive Ventcel's conditions, (see [3]), in a bounded domain of R3. We use the Hilbert uniqueness methode, (H.U.M), of J.L.Lions, (see [9]); some multipliers are defined on the boundary; the curvature tensor (see [6]), 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 (see [3],[4]).
@article{urn:eudml:doc:44473,
title = {Contr\^olabilit\'e exacte d'un probl\`eme avec conditions de Ventcel \'evolutives pour le syst\`eme lin\'eaire de l'\'elasticit\'e.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {14},
year = {2001},
pages = {231-270},
zbl = {1007.93039},
mrnumber = {MR1851730},
language = {fr},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44473}
}
Heminna, Amar. Contrôlabilité exacte d'un problème avec conditions de Ventcel évolutives pour le système linéaire de l'élasticité.. Revista Matemática de la Universidad Complutense de Madrid, Tome 14 (2001) pp. 231-270. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44473/