Local Li-Yau's estimates on RCD*(K, N) metric measure spaces

被引：0
|
作者：
Zhang, Hui-Chun [1 ]
Zhu, Xi-Ping [1 ]
机构：
[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2016年 / 55卷 / 04期
关键词：
CURVATURE-DIMENSION CONDITION; CHEEGER-HARMONIC FUNCTIONS; RICCI CURVATURE; RIEMANNIAN-MANIFOLDS; ALEXANDROV SPACES; DIFFERENTIAL EQUATIONS; HARNACK INEQUALITIES; LIPSCHITZ FUNCTIONS; GRADIENT ESTIMATE; DIRICHLET SPACES;
D O I：
10.1007/s00526-016-1040-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we will study the (linear) geometric analysis on metric measure spaces. We will establish a local Li-Yau's estimate for weak solutions of the heat equation and prove a sharp Yau's gradient for harmonic functions on metric measure spaces, under the Riemannian curvature-dimension condition RCD*(K, N).
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页数：30
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