Li-Yau inequalities for positive harmonic functions by Stochastic Analysis

Abstract

We prove Li-Yau type inequalities for positive harmonic functions on Riemannian manifolds by using methods of Stochastic Analysis. Rather than evaluating an exact Bismut formula for the differential of a harmonic function, our method relies on a Bismut type inequality which is derived by an elementary integration by parts argument from an underlying… (More)

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Cite this paper

@inproceedings{Arnaudon2006LiYauIF, title={Li-Yau inequalities for positive harmonic functions by Stochastic Analysis}, author={Marc Arnaudon and Bruce K. Driver and Anton Thalmaier}, year={2006} }