Semiclassical Lp estimates
Mathematical Physics
2014-03-10 v2 math.MP
Abstract
The purpose of this paper is to use semiclassical analysis to unify and generalize Lp estimates on high energy eigenfunctions and spectral clusters. In our approach these estimates do not depend on ellipticity and order, and apply to operators which are selfadjoint only at the principal level. They are estimates on weakly approximate solutions to semiclassical pseudodifferential equations. The revision corrects an exponent in the main theorems.
Cite
@article{arxiv.math-ph/0603080,
title = {Semiclassical Lp estimates},
author = {Herbert Koch and Daniel Tataru and Maciej Zworski},
journal= {arXiv preprint arXiv:math-ph/0603080},
year = {2014}
}
Comments
33 pages, 1 figure