Harnack Estimates for Heat Equations with Potentials on Evolving Manifolds

被引：0
|
作者：
Abimbola Abolarinwa
机构：
[1] University of Sussex,Department of Mathematics
来源：
Mediterranean Journal of Mathematics | 2016年 / 13卷
关键词：
Harnack estimates; Geometric flows; Heat equation; Entropy monotonicity formula; Primary 53C21; Secondary 53C44;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove several Harnack estimates for positive solutions to the heat-type equations with respect to time-dependent Riemannian metric evolving by the geometric flow. In particular, we obtain Li–Yau type estimates and Perelman type differential Harnack inequalities and as an application, we demonstrate how these results can be obtained under various geometric flows.
引用
收藏
页码：3185 / 3204
页数：19
相关论文
共 50 条
12345