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Functional inequalities on manifolds with non-convex boundary

Functional inequalities on manifolds with non-convex boundary
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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. 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.
出处 《Science China Mathematics》 SCIE CSCD 2018年第8期1421-1436,共16页 中国科学:数学(英文版)
基金 supported by Fonds National de la Recherche Luxembourg(Grant No.O14/7628746 GEOMREV) the University of Luxembourg(Grant No.IRP R-AGR-0517-10/AGSDE) supported by National Natural Science Foundation of China(Grant No.11501508) Zhejiang Provincial Natural Science Foundation of China(Grant No.LQ16A010009)
关键词 Ricci curvature gradient inequality log-Sobolev inequality geometric flow 泛函不等式 梯度 计算方法 数学
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