Exact controllability for stochastic Schrodinger equations

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:255

Article

Lu, Qi^1,2 

[1] Univ Paris 06, Lab Jacques Louis Lions, UMR 7598, F-75005 Paris, France

[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610054, Peoples R China

关键词: Stochastic Schrodinger equations;    Exact controllability;    Observability;    Carleman estimate;   

DOI  :  10.1016/j.jde.2013.06.021

来源: Elsevier

【 摘 要 】

This paper is addressed to studying the exact controllability of stochastic Schrodinger equations by two controls. One is a boundary control and the other is an internal control in the diffusion term. By means of the duality argument, the control problem is converted into an observability problem for backward stochastic Schrodinger equations, and the desired observability estimate is obtained by a global Carleman estimate. At last, we give a result about the lack of exact controllability, which shows that the action of two controls is necessary. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free