Title : Functional inequalities on manifolds with non-convex boundary
Language : English
Author, co-author : Cheng, Li Juan [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Thalmaier, Anton [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Thompson, James [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date : 13-Jul-2018
Journal title : Science China Mathematics
Publisher : Springer
Volume : 61
Issue/season : 8
Pages : 1421-1436
Peer reviewed : Yes (verified by ORBilu )
Audience : International
ISSN : 1674-7283
e-ISSN : 1869-1862
Keywords : [en] Ricci curvature ; gradient inequality ; log-Sobolev inequality
Abstract : [en] In this article, new curvature conditions are introduced to establish functional inequalities including gradient estimates, Harnack inequalities and transportation-cost inequalities on manifolds with non-convex boundary.
Funders : University of Luxembourg - UL
Name of the research project : R-AGR-0517 > AGSDE > 01/09/2015 - 31/08/2018 > THALMAIER Anton
Target : Researchers ; Students
Permalink : http://hdl.handle.net/10993/33009
DOI : 10.1007/s11425-017-9344-x
Other URL : https://arxiv.org/abs/1711.04307
FnR project : FnR ; FNR7628746 > Anton Thalmaier > GEOMREV > Geometry Of Random Evolutions > 01/03/2015 > 28/02/2018 > 2014