Gradient estimates and Harnack inequalities for a Yamabe-type parabolic equation under the Yamabe flow

被引：0

作者：

Liangdi Zhang ^{[1
]}

机构：

[1] Center of Mathematical Sciences, Zhejiang University

来源：

Science China Mathematics | 2021年 / 64卷 / 06期

关键词：

gradient estimate; Harnack inequality; Yamabe-type parabolic equation; Yamabe flow;

D O I：

暂无

中图分类号：

O175.26 [抛物型方程]; O178 [不等式及其他];

学科分类号：

0701 ; 070101 ; 070104 ;

摘要：

In this paper, we derive a series of gradient estimates and Harnack inequalities for positive solutions of a Yamabe-type parabolic partial differential equation (△-?t)u=pu+quunder the Yamabe flow. Here p,q∈C(M~n×[0,T]) and a is a positive constant.

引用

页码：1201 / 1230

页数：30

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