Gradient Estimate and Harnack Inequality on Non-Compact Riemannian Manifolds
Probability
2008-01-31 v1
Abstract
A new type of gradient estimate is established for diffusion semigroups on non-compact complete Riemannian manifolds. As applications, a global Harnack inequality with power and a heat kernel estimate are derived for diffusion semigroups on arbitrary complete Riemannian manifolds.
Cite
@article{arxiv.0801.4708,
title = {Gradient Estimate and Harnack Inequality on Non-Compact Riemannian Manifolds},
author = {Marc Arnaudon and Anton Thalmaier and Feng-Yu Wang},
journal= {arXiv preprint arXiv:0801.4708},
year = {2008}
}