Sharp L^p bounds on spectral clusters for Lipschitz metrics
Analysis of PDEs
2012-07-11 v1
Abstract
We establish L^p bounds on L^2 normalized spectral clusters for self-adjoint elliptic Dirichlet forms with Lipschitz coefficients. In two dimensions we obtain best possible bounds for all p between 6<p\leq 8$. In higher dimensions we obtain best possible bounds for a limited range of p.
Cite
@article{arxiv.1207.2417,
title = {Sharp L^p bounds on spectral clusters for Lipschitz metrics},
author = {Herbert Koch and Hart Smith and Daniel Tataru},
journal= {arXiv preprint arXiv:1207.2417},
year = {2012}
}
Comments
28 pages