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

引用

页码：705 / 727

页数：23

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