On the Multilinear Restriction and Kakeya conjectures

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dc.creatorBennett, Jonathan
dc.creatorCarbery, Anthony
dc.creatorTao, Terence
dc.date2005-09-12
dc.date.accessioned2026-07-07T05:23:08Z
dc.date.available2026-07-07T05:23:08Z
dc.descriptionWe prove $d$-linear analogues of the classical restriction and Kakeya conjectures in $\R^d$. Our approach involves obtaining monotonicity formulae pertaining to a certain evolution of families of gaussians, closely related to heat flow. We conclude by giving some applications to the corresponding variable-coefficient problems and the so-called "joints" problem, as well as presenting some $n$-linear analogues for $n<d$.
dc.description38 pages, no figures, submitted
dc.identifierhttps://arxiv.org/abs/math/0509262
dc.identifierhttp://arxiv.org/abs/math/0509262
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76319
dc.subjectClassical Analysis and ODEs
dc.subject42B10
dc.titleOn the Multilinear Restriction and Kakeya conjectures
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