A local smoothing estimate in higher dimensions

Details A local smoothing estimate in higher dimensions A local smoothing estimate in higher dimensions

2002-05-07

arxiv.org/abs/math/0205059v1

Mathematics

Classical Analysis and ODEs

25 pages

Scientific paper

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.

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