Equivalent Harnack and Gradient Inequalities for Pointwise Curvature Lower Bound
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ARNAUDON, Marc | |
| hal.structure.identifier | Institute of Mathematics | |
| dc.contributor.author | THALMAIER, Anton | |
| hal.structure.identifier | School of Mathematical Sciences [Beijing] [SMS] | |
| dc.contributor.author | WANG, Feng-Yu | |
| dc.date.accessioned | 2024-04-04T03:20:56Z | |
| dc.date.available | 2024-04-04T03:20:56Z | |
| dc.date.created | 2013-10-16 | |
| dc.date.issued | 2014-07-01 | |
| dc.identifier.issn | 0007-4497 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194624 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | Log-Harnack inequality | |
| dc.subject.en | Riemannian manifold | |
| dc.subject.en | diffusion process | |
| dc.title.en | Equivalent Harnack and Gradient Inequalities for Pointwise Curvature Lower Bound | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| bordeaux.journal | Bulletin des Sciences Mathématiques | |
| bordeaux.page | 643-655 | |
| bordeaux.volume | 138 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 5 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01057529 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01057529v1 | |
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