Linear vs. nonlinear effects for nonlinear Schrodinger equations with potential
| dc.creator | Carles, Remi | |
| dc.date | 2004-05-21 | |
| dc.date.accessioned | 2026-07-07T05:08:27Z | |
| dc.date.available | 2026-07-07T05:08:27Z | |
| dc.description | We review some recent results on nonlinear Schrodinger equations with potential, with emphasis on the case where the potential is a second order polynomial, for which the interaction between the linear dynamics caused by the potential, and the nonlinear effects, can be described quite precisely. This includes semi-classical regimes, as well as finite time blow-up and scattering issues. We present the tools used for these problems, as well as their limitations, and outline the arguments of the proofs. | |
| dc.description | 20 pages; survey of previous results | |
| dc.identifier | https://arxiv.org/abs/math/0405411 | |
| dc.identifier | http://arxiv.org/abs/math/0405411 | |
| dc.identifier | Commun. Contemp. Math., Vol. 7, No. 4 (2005) 483-508 | |
| dc.identifier | doi:10.1142/S0219199705001829 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71268 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | Primary: 35Q55; Secondary: 35A05, 35B30, 35B35 | |
| dc.title | Linear vs. nonlinear effects for nonlinear Schrodinger equations with potential | |
| dc.type | text |