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.
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页码：1201 / 1230
页数：30
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