A sharp bilinear restriction estimate for paraboloids

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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.
21 pages, no figures, to appear, GAFA. More explanation added and some minor typos removed

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Classical Analysis and ODEs, 42B15; 35Q55

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http://salesiana.dossiersoluciones.com/handle/123456789/65190

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0210084
 http://arxiv.org/abs/math/0210084

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arXiv