Angular Regularity and Strichartz Estimates for the Wave Equation

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dc.creatorSterbenz, Jacob
dc.creatorRodnianski, Igor
dc.date2004-02-12
dc.date2005-03-04
dc.date.accessioned2026-07-07T05:05:23Z
dc.date.available2026-07-07T05:05:23Z
dc.descriptionWe prove here essentially sharp linear and bilinear Strichartz type estimates for the wave equations on Minkowski space, where we assume the initial data possesses additional regularity with respect to fractional powers of the usual angular momentum operators. In this setting, the range of (q,r) exponents vastly improves over what is available for the wave equations based on translation invariant derivatives of the initial data and the dispersive inequality. Two proofs of this result are given.
dc.description34 pages. Updated with a simplified physical space proof by Igor Rodnianski
dc.identifierhttps://arxiv.org/abs/math/0402192
dc.identifierhttp://arxiv.org/abs/math/0402192
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70146
dc.subjectAnalysis of PDEs
dc.subject35L05
dc.titleAngular Regularity and Strichartz Estimates for the Wave Equation
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