Global exact controllability in infinite time of Schrödinger equation

Vahagn Nersesyan (1) , Hayk Nersisyan (2)

1 LMV - Laboratoire de Mathématiques de Versailles
2 AGM - UMR 8088 - Analyse, Géométrie et Modélisation

In this paper, we study the problem of controllability of Schrödinger equation. We prove that the system is exactly controllable in infinite time to any position. The proof is based on an inverse mapping theorem for multivalued functions. We show also that the system is not exactly controllable in finite time in lower Sobolev spaces.

Domaines: Equations aux dérivées partielles [math.AP]

Vahagn Nersesyan, Hayk Nersisyan. Global exact controllability in infinite time of Schrödinger equation. 2010. ⟨hal-00489481v2⟩