Global well-posedness in L^2 for the periodic Benjamin-Ono equation
| dc.creator | Molinet, Luc | |
| dc.date | 2006-01-10 | |
| dc.date | 2008-07-02 | |
| dc.date.accessioned | 2026-07-07T09:47:54Z | |
| dc.date.available | 2026-07-07T09:47:54Z | |
| dc.description | We prove that the Benjamin-Ono equation is globally well-posed in $ H^s(\T) $ for $ s\ge 0 $. Moreover we show that the associated flow-map is Lipschitz on every bounded set of $ {\dot H}^s(\T) $, $s\ge 0$, and even real-analytic in this space for small times. This result is sharp in the sense that the flow-map (if it can be defined and coincides with the standard flow-map on $ H^\infty(\T) $) cannot be of class $ C^{1+α} $, $α>0 $, from $ {\dot H}^s(\T) $ into $ {\dot H}^s(\T) $ as soon as $ s< 0 $. | |
| dc.description | 47 pages | |
| dc.identifier | https://arxiv.org/abs/math/0601217 | |
| dc.identifier | http://arxiv.org/abs/math/0601217 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164013 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35A05; 35Q53 | |
| dc.title | Global well-posedness in L^2 for the periodic Benjamin-Ono equation | |
| dc.type | text |