Stability of elliptic Harnack inequality
Probability
2017-12-27 v3 Analysis of PDEs
Differential Geometry
Functional Analysis
Metric Geometry
Abstract
We prove that the elliptic Harnack inequality (on a manifold, graph, or suitably regular metric measure space) is stable under bounded perturbations, as well as rough isometries.
Cite
@article{arxiv.1610.01255,
title = {Stability of elliptic Harnack inequality},
author = {Martin T. Barlow and Mathav Murugan},
journal= {arXiv preprint arXiv:1610.01255},
year = {2017}
}
Comments
44 pages; to appear in Annals of Mathematics