On Harnack inequalities and optimal transportation

被引：0
|
作者：
Bakry, Dominique [1 ]
Gentil, Ivan [1 ]
Ledoux, Michel [2 ]
机构：
[1] Univ Toulouse Paul Sebatier, Inst Math Toulouse, F-31062 Toulouse, France
[2] Univ Lyon 1, Inst Camille Jordan, CNRS UMR 5208, F-69622 Lyon, France
来源：
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE | 2015年 / 14卷 / 03期
关键词：
METRIC-MEASURE-SPACES; CURVATURE-DIMENSION CONDITION; RICCI CURVATURE; WASSERSTEIN DISTANCE; EULERIAN CALCULUS; EQUATIONS; GEOMETRY; HYPERCONTRACTIVITY; CONTRACTION; MANIFOLDS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We develop connections between Harnack inequalities for the heat flow of diffusion operators with curvature bounded from below and optimal transportation. Through heat kernel inequalities, a new isoperimetric-type Harnack inequality is emphasized. Commutation properties between the heat and Hopf-Lax semigroups are developed consequently, providing direct access to heat flow contraction in Wasserstein spaces
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页码：705 / 727
页数：23
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