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

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.