Functional inequalities on manifolds with non-convex boundary

被引：3
|
作者：
Cheng, Lijuan [1 ,2 ]
Thalmaier, Anton [1 ]
Thompson, James [1 ]
机构：
[1] Univ Luxembourg, Math Res Unit, L-4364 Esch Sur Alzette, Luxembourg
[2] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2018年 / 61卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Ricci curvature; gradient inequality; log-Sobolev inequality; geometric flow; HARNACK INEQUALITY; CURVATURE;
D O I：
10.1007/s11425-017-9344-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：1421 / 1436
页数：16
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