A local smoothing estimate in higher dimensions
Classical Analysis and ODEs
2007-05-23 v1
Abstract
We prove the higher-dimensional analogue of Wolff's local smoothing estimate (Geom. Funct. Anal. 2001) for large p. As in the 2+1-dimensional case, the estimate is sharp for any given value of p, but it is likely that the range of p can be improved.
Cite
@article{arxiv.math/0205059,
title = {A local smoothing estimate in higher dimensions},
author = {I. Laba and T. Wolff},
journal= {arXiv preprint arXiv:math/0205059},
year = {2007}
}
Comments
25 pages