Global exact controllability in infinite time of Schrodinger equation

被引：20

作者：

Nersesyan, Vahagn ^{[1
]}

Nersisyan, Hayk ^{[2
]}

机构：

[1] Univ Versailles Quentin En Yvelines, Math Lab, UMR CNRS 8100, F-78035 Versailles, France

[2] Univ Cergy Pontoise, UMR CNRS 8088, Math Lab, F-95000 Cergy Pontoise, France

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2012年 / 97卷 / 04期

关键词：

Schrodinger equation; Controllability; Multivalued mapping; Kolmogorov epsilon-entropy; DIMENSIONAL EXTERNAL FORCE; EULER EQUATIONS; SYSTEMS;

D O I：

10.1016/j.matpur.2011.11.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the problem of controllability of Schrodinger 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. (C) 2011 Elsevier Masson SAS. All rights reserved.

引用

页码：295 / 317

页数：23

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