LOCAL GRADIENT ESTIMATES FOR HEAT EQUATION ON RCD*(k, n) METRIC MEASURE SPACES

被引：2
作者：
Huang, Jia-Cheng [1 ]
机构：
[1] Fudan Univ, Sch Math Sci, 220 Handan Rd, Shanghai 86200433, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 12期
基金：
中国博士后科学基金;
关键词：
CURVATURE-DIMENSION CONDITION; LI-YAU INEQUALITY; RICCI CURVATURE; HARNACK INEQUALITIES; MONOTONICITY FORMULA; LIPSCHITZ FUNCTIONS; ALEXANDROV SPACES; DIRICHLET SPACES; MANIFOLDS; EQUIVALENCE;
D O I：
10.1090/proc/14185
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we will establish a local gradient estimate and a Liouville type theorem for weak solutions of the heat equation on RCD*(K, N) metric measure spaces.
引用
收藏
页码：5391 / 5407
页数：17
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