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arXiv · 0801.4708

Gradient Estimate and Harnack Inequality on Non-Compact Riemannian Manifolds

Marc Arnaudon·Anton Thalmaier·Feng-Yu Wang
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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.

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Marc Arnaudon, Anton Thalmaier, Feng-Yu Wang. 2008-01-30. Gradient Estimate and Harnack Inequality on Non-Compact Riemannian Manifolds. https://arxiv.org/abs/0801.4708

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