Resolvent estimates related with a class of dispersive equations

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We present a simple proof of the resolvent estimates of elliptic Fourier multipliers on the Euclidean space, and apply them to the analysis of time-global and spatially-local smoothing estimates of a class of dispersive equations. For this purpose we study in detail the properties of the restriction of Fourier transform on the unit cotangent sphere associated with the symbols of multipliers.
minor change, 20 pages, no figure, final version

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Analysis of PDEs, Classical Analysis and ODEs, 47A10, 35P25, 47F05

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http://salesiana.dossiersoluciones.com/handle/123456789/135373

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.0347
 http://arxiv.org/abs/0704.0347

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arXiv