Contrôlabilite exacte et homogénéisation (I)

Article type: Research Article

Authors: Lions, J.-L.

Affiliations: Collège de France, et Centre National d'Etudes Spatiales, 75039 Paris Cedex 01, France

Abstract: Homogenization theory allows to “replace” a “complicated” operator with rapidly varying coefficients by a “simple one”. This procedure applies to evolution operators of hyperbolic type or of Petrowsky's type. One can study for these operators the exact controllability problem—in particular, using HUM (Hilbert Uniqueness Method) introduced in [5]. A general program is to study the following question: What happens to exact controllability during homogenization procedure? The present paper is a first (and small) result in this program

DOI: 10.3233/ASY-1988-1102

Journal: Asymptotic Analysis, vol. 1, no. 1, pp. 3-11, 1988