Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds
A gradient-entropy inequality is established for elliptic diffusion semigroups on arbitrary complete Riemannian manifolds. As applications, a global Harnack inequality with power and a heat kernel estimate are derived.
Year of publication: |
2009
|
---|---|
Authors: | Arnaudon, Marc ; Thalmaier, Anton ; Wang, Feng-Yu |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 119.2009, 10, p. 3653-3670
|
Publisher: |
Elsevier |
Keywords: | Harnack inequality Heat equation Gradient estimate Diffusion semigroup |
Saved in:
Saved in favorites
Similar items by person
-
Gradient estimates for positive harmonic functions by stochastic analysis
Arnaudon, Marc, (2007)
-
Stochastic algorithms for computing means of probability measures
Arnaudon, Marc, (2012)
-
On Markov intertwining relations and primal conditioning
Arnaudon, Marc, (2024)
- More ...