Low regularity for a quadratic Schrödinger equation on the circle
| dc.creator | Thomann, Laurent | |
| dc.date | 2008-10-26 | |
| dc.date.accessioned | 2026-07-07T10:13:19Z | |
| dc.date.available | 2026-07-07T10:13:19Z | |
| dc.description | In this paper we consider a Schrodinger equation on the circle with a quadratic nonlinearity. Thanks to an explicit computation of the first Picard iterate, we give a precision on the dynamic of the solution, whose existence was proved by C. E. Kenig, G. Ponce and L. Vega. We also show that the equation is well-posed in a space based on Lp norms in frequencies. | |
| dc.description | 23 pages, 0 figure | |
| dc.identifier | https://arxiv.org/abs/0810.4691 | |
| dc.identifier | http://arxiv.org/abs/0810.4691 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172489 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35A07; 35B35 ; 35B45; 35Q55 | |
| dc.title | Low regularity for a quadratic Schrödinger equation on the circle | |
| dc.type | text |