Constructive solution of a bilinear optimal control problem for a Schrödinger equation
| dc.creator | Baudouin, Lucie | |
| dc.creator | Salomon, Julien | |
| dc.date | 2008-04-10 | |
| dc.date.accessioned | 2026-07-07T12:18:15Z | |
| dc.date.available | 2026-07-07T12:18:15Z | |
| dc.description | Often considered in numerical simulations related to the control of quantum systems, the so-called monotonic schemes have not been so far much studied from the functional analysis point of view. Yet, these procedures provide an efficient constructive method for solving a certain class of optimal control problems. This paper aims both at extending the results already available about these algorithms in the finite dimensional case (i.e., the time-discretized case) and at completing those of the continuous case. This paper starts with some results about the regularity of a functional related to a wide class of model in quantum chemistry. Those enable us to extend an inequality due to | |
| dc.identifier | https://arxiv.org/abs/0804.1711 | |
| dc.identifier | http://arxiv.org/abs/0804.1711 | |
| dc.identifier | Systems & Control Letters / Systems and Control Letters (2008) 150 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/212350 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 49M30, 49K20 | |
| dc.title | Constructive solution of a bilinear optimal control problem for a Schrödinger equation | |
| dc.type | text |