×

zbMATH — the first resource for mathematics

Control of the Schrödinger equation. (Contrôle de l’équation de Schrödinger.) (French) Zbl 0838.35013
The author extends the result on exact controllability for hyperbolic equations of C. Bardos, the author and J. Rauch [Appendix 2 in the book by J. L. Lions: Contrôlabilité exacte. Perturbations et stabilisations des systèmes distribués, Recherches en Mathématiques Appliquées 8 and 9 (Masson 1988; Zbl 0653.93002)] to the case of the evolution Schrödinger type equations, like for example the plate equation: \(\partial^2_t+ \Delta^2\). One of the ingredients in the proof is a semi-classical inequality in the spirit of Helffer-Sjöstrand.
Reviewer: B.Helffer (Orsay)

MSC:
35B37 PDE in connection with control problems (MSC2000)
35Q55 NLS equations (nonlinear Schrödinger equations)
93B05 Controllability
Keywords:
plate equation
PDF BibTeX Cite