Gradient Estimate and Harnack Inequality on Non-Compact Riemannian Manifolds

Details Gradient Estimate and Harnack Inequality on Non-Compact Riemannian Manifolds Gradient Estimate and Harnack Inequality on Non-Compact Riemannian Manifolds

2008-01-30

arxiv.org/abs/0801.4708v1

Mathematics

Probability

Scientific paper

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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