Control of the Schrödinger equation (Q1900200)

The author extends the result on exact controllability for hyperbolic equations of \textit{C. Bardos}, the author and \textit{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.