Global existence results for nonlinear Schrodinger equations with quadratic potentials
| dc.creator | Carles, Remi | |
| dc.date | 2004-05-11 | |
| dc.date | 2005-02-18 | |
| dc.date.accessioned | 2026-07-07T05:08:08Z | |
| dc.date.available | 2026-07-07T05:08:08Z | |
| dc.description | We prove that no finite time blow up can occur for nonlinear Schroedinger equations with quadratic potentials, provided that the potential has a sufficiently strong repulsive component. This is not obvious in general, since the energy associated to the linear equation is not positive. The proof relies essentially on two arguments: global in time Strichartz estimates, and a refined analysis of the linear equation, which makes it possible to use continuity arguments and to control the nonlinear effects. | |
| dc.description | Some typos fixed, Proposition 1.1 extended. Final version to appear in DCDS | |
| dc.identifier | https://arxiv.org/abs/math/0405197 | |
| dc.identifier | http://arxiv.org/abs/math/0405197 | |
| dc.identifier | Discrete Contin. Dyn. Syst. 13 (2005), no. 2, 385-398 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71140 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q55, 35A05, 35B30, 35B35 | |
| dc.title | Global existence results for nonlinear Schrodinger equations with quadratic potentials | |
| dc.type | text |