Global approximate controllability for Schrödinger equation in higher Sobolev norms and applications
| dc.creator | Nersesyan, Vahagn | |
| dc.date | 2009-05-14 | |
| dc.date.accessioned | 2026-07-07T13:15:33Z | |
| dc.date.available | 2026-07-07T13:15:33Z | |
| dc.description | We prove that the Schrödinger equation is approximately controllable in Sobolev spaces $H^s$, $s>0$ generically with respect to the potential. We give two applications of this result. First, in the case of one space dimension, combining our result with a local exact controllability property, we get the global exact controllability of the system in higher Sobolev spaces. Then we prove that the Schrödinger equation with a potential which has a random time-dependent amplitude admits at most one stationary measure on the unit sphere $S$ in $L^2 $. | |
| dc.identifier | https://arxiv.org/abs/0905.2438 | |
| dc.identifier | http://arxiv.org/abs/0905.2438 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230502 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Analysis of PDEs | |
| dc.title | Global approximate controllability for Schrödinger equation in higher Sobolev norms and applications | |
| dc.type | text |