On well-posedness for the Benjamin-Ono equation
| dc.creator | Burq, N. | |
| dc.creator | Planchon, F. | |
| dc.date | 2005-09-05 | |
| dc.date | 2005-11-25 | |
| dc.date.accessioned | 2026-07-07T06:42:56Z | |
| dc.date.available | 2026-07-07T06:42:56Z | |
| dc.description | We prove existence of solutions for the Benjamin-Ono equation with data in $H^s(\R)$, $s>0$. Thanks to conservation laws, this yields global solutions for $H^\frac 1 2(\R)$ data, which is the natural ``finite energy'' class. Moreover, inconditional uniqueness is obtained in $L^\infty_t(H^\frac 1 2(\R))$, which includes weak solutions, while for $s>\frac 3 {20}$, uniqueness holds in a natural space which includes the obtained solutions. | |
| dc.description | Important changes. We improved both existence and uniqueness results. In particular, uniqueness holds in the natural $L^\infty_t; H^{1/2}_x$ energy space | |
| dc.identifier | https://arxiv.org/abs/math/0509096 | |
| dc.identifier | http://arxiv.org/abs/math/0509096 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102230 | |
| dc.subject | Analysis of PDEs | |
| dc.title | On well-posedness for the Benjamin-Ono equation | |
| dc.type | text |