Résultats de contrôlabilité exacte interne pour l'équation de Schrödinger et leurs limites asymptotiques: application à certaines équations de plaques vibrantes

Article type: Research Article

Authors: Fabre, Caroline

Affiliations: Département de Mathématiques, Université d'Orléans, et CMAP, Ecole Polytechnique, 91128 Palaiseau Cedex, France

Abstract: We are interested in several problems of exact controllability related to the Schrödinger equation and the vibrating plate equation with boundary conditions on y and Δy. In particular, the study of the exact internal controllability when the control is distributed and acts on an ε-neighborhood of a part of the boundary (satisfying some geometrical conditions) and the passage to the limit when ε goes to 0 will give us results on the exact controllability of the plate equation when the control acts on the boundary.

DOI: 10.3233/ASY-1992-5404

Journal: Asymptotic Analysis, vol. 5, no. 4, pp. 343-379, 1992