Multilinear estimates for periodic KdV equations and applications
| dc.creator | Colliander, Jim | |
| dc.creator | Keel, Markus | |
| dc.creator | Staffilani, Gigliola | |
| dc.creator | Takaoka, Hideo | |
| dc.creator | Tao, Terence | |
| dc.date | 2001-10-04 | |
| dc.date | 2006-07-14 | |
| dc.date.accessioned | 2026-07-07T06:35:26Z | |
| dc.date.available | 2026-07-07T06:35:26Z | |
| dc.description | We prove an endpoint multilinear estimate for the $X^{s,b}$ spaces associated to the periodic Airy equation. As a consequence we obtain sharp local well-posedness results for periodic generalized KdV equations, as well as some global well-posedness results below the energy norm. In particular we prove a multilinear estimate which completes the proof of global well-posedness for periodic KdV in a preceding paper (math.AP/0110045) down to the optimal regularity H^{-1/2}. | |
| dc.description | 39 pages. A correction to the Case 3 argument in Section 14 | |
| dc.identifier | https://arxiv.org/abs/math/0110049 | |
| dc.identifier | http://arxiv.org/abs/math/0110049 | |
| dc.identifier | J. Funct. Anal. 211 (2004), 173-218 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99793 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q53, 42B35, 37K10 | |
| dc.title | Multilinear estimates for periodic KdV equations and applications | |
| dc.type | text |