Gradient Estimate and Harnack Inequality on
Non-Compact Riemannian Manifolds
by Marc Arnaudon, Anton Thalmaier and Feng-Yu Wang
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.
Stochastic Processes Appl. 119 (2009) 3653-3670
doi 10.1016/j.spa.2009.07.001
The paper is available here:
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