Universität zu Köln

Beauchard, Karine, Lange, Horst and Teismann, Holger (2015). LOCAL EXACT CONTROLLABILITY OF A ONE-DIMENSIONAL NONLINEAR SCHRODINGER EQUATION. SIAM J. Control Optim., 53 (5). S. 2781 - 2819. PHILADELPHIA: SIAM PUBLICATIONS. ISSN 1095-7138

Full text not available from this repository.

Abstract

We consider a one-dimensional nonlinear Schrodinger equation, modeling a Bose-Einstein condensate in an infinite square-well potential (box). This is a nonlinear control system in which the state is the wave function of the Bose-Einstein condensate and the control is the length of the box. We prove that local exact controllability around the ground state (associated with a fixed length of the box) holds generically with respect to the chemical potential mu, i.e., up to an at most countable set of mu-values. The proof relies on the linearization principle and the inverse mapping theorem, as well as ideas from analytic perturbation theory.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Beauchard, Karine UNSPECIFIED UNSPECIFIED UNSPECIFIED Lange, Horst UNSPECIFIED UNSPECIFIED UNSPECIFIED Teismann, Holger UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-415611
DOI:	10.1137/140951618
Journal or Publication Title:	SIAM J. Control Optim.
Volume:	53
Number:	5
Page Range:	S. 2781 - 2819
Date:	2015
Publisher:	SIAM PUBLICATIONS
Place of Publication:	PHILADELPHIA
ISSN:	1095-7138
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language BILINEAR OPTIMAL-CONTROL; QUANTUM PARTICLE; AXIAL LOAD; SHORTCUTS Multiple languages Automation & Control Systems; Mathematics, Applied Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/41561