Gradient estimates for the Fisher–KPP equation on Riemannian manifolds

被引：0
作者：
Xin Geng
Songbo Hou
机构：
[1] China Agricultural University,Department of Applied Mathematics, College of Science
来源：
Boundary Value Problems | / 2018卷
关键词：
Fisher–KPP equation; Gradient estimate; Harnack inequality; 58J35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider positive solutions to the Fisher–KPP equation on complete Riemannian manifolds. We derive the gradient estimate. Using the estimate, we get the classic Harnack inequality which extends the recent result of Cao, Liu, Pendleton, and Ward (Pac. J. Math. 290(2):273–300, 2017).
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