On the bilinear control of the Gross-Pitaevskii equation
| Affiliation auteurs | Affiliation ok |
| Titre | On the bilinear control of the Gross-Pitaevskii equation |
| Type de publication | Journal Article |
| Year of Publication | 2020 |
| Auteurs | Chambrion T, Thomann L |
| Journal | ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE |
| Volume | 37 |
| Pagination | 605-626 |
| Date Published | MAY-JUN |
| Type of Article | Article |
| ISSN | 0294-1449 |
| Mots-clés | Bilinear control, Control theory, Non-linear Schrodinger equation, Obstructions |
| Résumé | In this paper we study the bilinear-control problem for the linear and non-linear Schrodinger equation with harmonic potential. By the means of different examples, we show how space-time smoothing effects (Strichartz estimates, Kato smoothing effect) enjoyed by the linear flow, can help to prove obstructions to controllability. (C) 2020 Elsevier Masson SAS. All rights reserved. |
| DOI | 10.1016/j.anihpc.2020.01.001 |