Global exact controllability in infinite time of Schrödinger equation: multidimensional caseReport as inadecuate




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

Abstract : We prove that the multidimensional Schrödinger equation is exactly controllable in infinite time near any point which is a finite linear combination of eigenfunctions of the Schrödinger operator. We prove that, generically with respect to the potential, the linearized system is controllable in infinite time. Applying the inverse mapping theorem, we prove the controllability of the nonlinear system.





Author: Vahagn Nersesyan - Hayk Nersisyan -

Source: https://hal.archives-ouvertes.fr/



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