A sharp bilinear restriction estimate for paraboloids
| dc.creator | Tao, Terence | |
| dc.date | 2002-10-07 | |
| dc.date | 2002-12-13 | |
| dc.date.accessioned | 2026-07-07T04:51:40Z | |
| dc.date.available | 2026-07-07T04:51:40Z | |
| dc.description | Recently Wolff obtained a sharp $L^2$ bilinear restriction theorem for bounded subsets of the cone in general dimension. Here we adapt the argument of Wolff to also handle subsets of ``elliptic surfaces'' such as paraboloids and spheres. Except for an endpoint, this answers a conjecture of Machedon and Klainerman, and also improves upon the known restriction theory for the paraboloid and sphere. | |
| dc.description | 21 pages, no figures, to appear, GAFA. More explanation added and some minor typos removed | |
| dc.identifier | https://arxiv.org/abs/math/0210084 | |
| dc.identifier | http://arxiv.org/abs/math/0210084 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65190 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42B15; 35Q55 | |
| dc.title | A sharp bilinear restriction estimate for paraboloids | |
| dc.type | text |