Global well-posedness for dissipative Korteweg-de Vries equations
| dc.creator | Vento, Stéphane | |
| dc.date | 2007-06-12 | |
| dc.date.accessioned | 2026-07-07T08:05:19Z | |
| dc.date.available | 2026-07-07T08:05:19Z | |
| dc.description | This paper is devoted to the well-posedness for dissipative KdV equations $u_t+u_{xxx}+|D_x|^{2α}u+uu_x=0$, $0<α\leq 1$. An optimal bilinear estimate is obtained in Bourgain's type spaces, which provides global well-posedness in $H^s(\R)$, $s>-3/4$ for $α\leq1/2$ and $s>-3/(5-2α)$ for $α>1/2$. | |
| dc.identifier | https://arxiv.org/abs/0706.1730 | |
| dc.identifier | http://arxiv.org/abs/0706.1730 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130246 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Global well-posedness for dissipative Korteweg-de Vries equations | |
| dc.type | text |