Boundary Harnack principle and elliptic Harnack inequality
Probability
2018-03-13 v2 Analysis of PDEs
Abstract
We prove a scale-invariant boundary Harnack principle for inner uniform domains over a large family of Dirichlet spaces. A novel feature of our work is that our assumptions are robust to time changes of the corresponding diffusions. In particular, we do not assume volume doubling property for the symmetric measure.
Keywords
Cite
@article{arxiv.1701.01782,
title = {Boundary Harnack principle and elliptic Harnack inequality},
author = {Martin T. Barlow and Mathav Murugan},
journal= {arXiv preprint arXiv:1701.01782},
year = {2018}
}
Comments
31 pages, 1 figure; incorporated referee comments; to appear in Journal of the Mathematical Society of Japan