Gradient estimates for the Fisher–KPP equation on Riemannian manifolds

Gradient estimates for the Fisher–KPP equation on Riemannian manifolds

Abstract 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):273–30...

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Bibliographic Details
Main Authors: Xin Geng, Songbo Hou
Format: Article
Language:English
Published: SpringerOpen 2018-02-01
Series:Boundary Value Problems
Subjects:
Fisher–KPP equation
Gradient estimate
Harnack inequality
Online Access:http://link.springer.com/article/10.1186/s13661-018-0946-6

Internet

http://link.springer.com/article/10.1186/s13661-018-0946-6

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