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

页码：5391 / 5407

页数：17

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