Title of article :
Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds
Author/Authors :
Arnaudon، نويسنده , , Marc and Thalmaier، نويسنده , , Anton and Wang، نويسنده , , Feng-Yu، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2009
Abstract :
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.
Keywords :
Harnack inequality , Heat equation , Diffusion semigroup , Gradient estimate
Journal title :
Stochastic Processes and their Applications
Journal title :
Stochastic Processes and their Applications