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

被引：2

作者：

Zhang, Liangdi ^{[1
]}

机构：

[1] Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2021年 / 64卷 / 06期

关键词：

gradient estimate; Harnack inequality; Yamabe-type parabolic equation; Yamabe flow; DIFFERENTIAL-EQUATIONS; MANIFOLDS; KERNEL;

D O I：

10.1007/s11425-019-1596-3

中图分类号：

O29 [应用数学];

学科分类号：

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 (Delta- partial differential t)u = pu + qu(a+1) under the Yamabe flow. Here p, q is an element of C-2,C-1 (M-n x [0,T]) and a is a positive constant.

引用

页码：1201 / 1230

页数：30

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