Functional inequalities on manifolds with non-convex boundary

被引:0
|
作者
Lijuan Cheng [1 ,2 ]
Anton Thalmaier [1 ]
James Thompson [1 ]
机构
[1] Mathematics Research Unit, University of Luxembourg
[2] Department of Applied Mathematics, Zhejiang University of Technology
基金
中国国家自然科学基金;
关键词
Ricci curvature; gradient inequality; log-Sobolev inequality; geometric flow;
D O I
暂无
中图分类号
O186.1 [微分几何];
学科分类号
0701 ; 070101 ;
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
  • [41] Convex non-convex image segmentation
    Chan, Raymond
    Lanza, Alessandro
    Morigi, Serena
    Sgallari, Fiorella
    NUMERISCHE MATHEMATIK, 2018, 138 (03) : 635 - 680
  • [42] CONVEX GAMES ON NON-CONVEX SETS
    GERSHANOV, AM
    ENGINEERING CYBERNETICS, 1978, 16 (05): : 14 - 19
  • [43] Coverage Control in Non-Convex Environment Considering Unknown Non-Convex Obstacles
    Parapari, Hamed Fathalizadeh
    Abdollahi, Farzaneh
    Menhaj, Mohammad Bagher
    2014 SECOND RSI/ISM INTERNATIONAL CONFERENCE ON ROBOTICS AND MECHATRONICS (ICROM), 2014, : 119 - 124
  • [44] Natasha: Faster Non-Convex Stochastic Optimization via Strongly Non-Convex Parameter
    Allen-Zhu, Zeyuan
    INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 70, 2017, 70
  • [45] Hyperbolic manifolds with convex boundary
    Jean-Marc Schlenker
    Inventiones mathematicae, 2006, 163 : 109 - 169
  • [46] Hyperbolic manifolds with convex boundary
    Schlenker, JM
    INVENTIONES MATHEMATICAE, 2006, 163 (01) : 109 - 169
  • [47] Faster First-Order Methods for Stochastic Non-Convex Optimization on Riemannian Manifolds
    Zhou, Pan
    Yuan, Xiao-Tong
    Feng, Jiashi
    22ND INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND STATISTICS, VOL 89, 2019, 89 : 138 - 147
  • [48] An application of the Lefschetz fixed-point theorem to non-convex differential inclusions on manifolds
    Domachowski, S
    Pruszko, T
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (04) : 1231 - 1236
  • [49] Faster First-Order Methods for Stochastic Non-Convex Optimization on Riemannian Manifolds
    Zhou, Pan
    Yuan, Xiao-Tong
    Yan, Shuicheng
    Feng, Jiashi
    IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 2021, 43 (02) : 459 - 472
  • [50] Convex Non-Convex Segmentation over Surfaces
    Huska, Martin
    Lanza, Alessandro
    Morigi, Serena
    Sgallari, Fiorella
    SCALE SPACE AND VARIATIONAL METHODS IN COMPUTER VISION, SSVM 2017, 2017, 10302 : 348 - 360