Lower bounds for Dirichlet Laplacians and uncertainty principles
Mathematical Physics
2020-01-16 v2 math.MP
Spectral Theory
Abstract
We prove lower bounds for the Dirichlet Laplacian on possibly unbounded domains in terms of natural geometric conditions. This is used to derive uncertainty principles for low energy functions of general elliptic second order divergence form operators with not necessarily continuous main part.
Cite
@article{arxiv.1808.04202,
title = {Lower bounds for Dirichlet Laplacians and uncertainty principles},
author = {Peter Stollmann and Günter Stolz},
journal= {arXiv preprint arXiv:1808.04202},
year = {2020}
}
Comments
25 pages, v2: final version