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
相关论文
共 50 条
  • [21] The Schwarz Lemma at the Boundary of the Non-Convex Complex Ellipsoids
    Le He
    Zhenhan Tu
    [J]. Acta Mathematica Scientia, 2019, 39 : 915 - 926
  • [22] Decompositions and boundary coverings of non-convex fat polyhedra
    de Berg, Mark
    Gray, Chris
    [J]. COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 2010, 43 (02): : 73 - 83
  • [23] An Accelerated First-Order Method for Non-convex Optimization on Manifolds
    Christopher Criscitiello
    Nicolas Boumal
    [J]. Foundations of Computational Mathematics, 2023, 23 : 1433 - 1509
  • [24] An Accelerated First-Order Method for Non-convex Optimization on Manifolds
    Criscitiello, Christopher
    Boumal, Nicolas
    [J]. FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 2023, 23 (04) : 1433 - 1509
  • [25] Image Denoising and Decomposition Using Non-convex Functional
    Bai Jian
    Feng Xiangchu
    [J]. CHINESE JOURNAL OF ELECTRONICS, 2012, 21 (01) : 102 - 106
  • [26] ON THE MINIMIZATION OF A TIKHONOV FUNCTIONAL WITH A NON-CONVEX SPARSITY CONSTRAINT
    Ramlau, Ronny
    Zarzer, Clemens A.
    [J]. ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2012, 39 : 476 - 507
  • [27] ON MINIMIZATION OF A NON-CONVEX FUNCTIONAL IN VARIABLE EXPONENT SPACES
    Chacon, Gerardo R.
    Colucci, Renato
    Rafeiro, Humberto
    Vargas, Andres
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2014, 25 (01)
  • [28] On the minimization of a tikhonov functional with a non-convex sparsity constraint
    [J]. Ramlau, R. (ronny.ramlau@jku.at), 1600, Kent State University (39):
  • [29] Analysis of microstructure of a non-convex functional with penalization term
    Colucci, Renato
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 388 (01) : 370 - 385
  • [30] Gap inequalities for non-convex mixed-integer quadratic programs
    DEIS, University of Bologna, Viale Risorgimento 2, 40136 Bologna, Italy
    不详
    [J]. Oper Res Lett, 5 (297-300):
12345