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Gradient Estimate and Harnack Inequality on Non-Compact Riemannian Manifolds

Authors :
Arnaudon, Marc
Thalmaier, Anton
Wang, Feng-Yu
Laboratoire de Mathématiques et Applications (LMA-Poitiers)
Université de Poitiers-Centre National de la Recherche Scientifique (CNRS)
Institute of Mathematics
University of Luxembourg [Luxembourg]
School of Mathematical Sciences [Beijing] (SMS)
Beijing Normal University (BNU)
Source :
Stochastic Processes and their Applications, Stochastic Processes and their Applications, Elsevier, 2009, 119, pp.3653-3670
Publication Year :
2009
Publisher :
HAL CCSD, 2009.

Abstract

International audience; 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.

Details

Language :
English
ISSN :
03044149
Database :
OpenAIRE
Journal :
Stochastic Processes and their Applications, Stochastic Processes and their Applications, Elsevier, 2009, 119, pp.3653-3670
Accession number :
edsair.doi.dedup.....16278145e74ab77b22740719596c9212