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Resolvent estimates related with a class of dispersive equations

Authors
  • Chihara, Hiroyuki
Type
Preprint
Publication Date
Aug 02, 2007
Submission Date
Apr 03, 2007
Identifiers
arXiv ID: 0704.0347
Source
arXiv
License
Unknown
External links

Abstract

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.

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