A sharp bilinear restriction estimate for paraboloids
Classical Analysis and ODEs
2007-05-23 v2
Abstract
Recently Wolff obtained a sharp 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.
Keywords
Cite
@article{arxiv.math/0210084,
title = {A sharp bilinear restriction estimate for paraboloids},
author = {Terence Tao},
journal= {arXiv preprint arXiv:math/0210084},
year = {2007}
}
Comments
21 pages, no figures, to appear, GAFA. More explanation added and some minor typos removed