Angular Regularity and Strichartz Estimates for the Wave Equation

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We 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.
34 pages. Updated with a simplified physical space proof by Igor Rodnianski

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Analysis of PDEs, 35L05

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http://salesiana.dossiersoluciones.com/handle/123456789/70146

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402192
 http://arxiv.org/abs/math/0402192

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arXiv