Equivalent Harnack and Gradient Inequalities for Pointwise Curvature Lower Bound
Langue
en
Article de revue
Ce document a été publié dans
Bulletin des Sciences Mathématiques. 2014-07-01, vol. 138, n° 5, p. 643-655
Elsevier
Résumé en anglais
By using a coupling method, an explicit log-Harnack inequality with local geometry quantities is established for (sub-Markovian) di usion semigroups on a Riemannian manifold (possibly with boundary). This inequality as ...Lire la suite >
By using a coupling method, an explicit log-Harnack inequality with local geometry quantities is established for (sub-Markovian) di usion semigroups on a Riemannian manifold (possibly with boundary). This inequality as well as the consequent L^2 gradient inequality, are proved to be equivalent to the pointwise curvature lower bound condition together with the convexity or absence of the boundary. Some applications of the log-Harnack inequality are also introduced.< Réduire
Mots clés en anglais
Log-Harnack inequality
Riemannian manifold
diffusion process
Origine
Importé de halUnités de recherche