Rotating points for the conformal NLS scattering operator
| dc.creator | Carles, Rémi | |
| dc.date | 2008-11-19 | |
| dc.date | 2009-02-12 | |
| dc.date.accessioned | 2026-07-07T12:40:25Z | |
| dc.date.available | 2026-07-07T12:40:25Z | |
| dc.description | We consider the nonlinear Schrodinger equation, with mass-critical nonlinearity, focusing or defocusing. For any given angle, we establish the existence of infinitely many functions on which the scattering operator acts as a rotation of this angle. Using a lens transform, we reduce the problem to the existence of a solution to a nonlinear Schrodinger equation with harmonic potential, satisfying suitable periodicity properties. The existence of infinitely many such solutions is proved thanks to a constrained minimization problem. | |
| dc.description | Some typos fixed, references added | |
| dc.identifier | https://arxiv.org/abs/0811.3121 | |
| dc.identifier | http://arxiv.org/abs/0811.3121 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219437 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.title | Rotating points for the conformal NLS scattering operator | |
| dc.type | text |