Differential Harnack Estimates for Fisher's Equation
Analysis of PDEs
2018-03-16 v2
Abstract
In this paper, we derive several differential Harnack estimates (also known as Li-Yau-Hamilton-type estimates) for positive solutions of Fisher's equation. We use the estimates to obtain lower bounds on the speed of traveling wave solutions and to construct classical Harnack inequalities.
Keywords
Cite
@article{arxiv.1510.07606,
title = {Differential Harnack Estimates for Fisher's Equation},
author = {Xiaodong Cao and Bowei Liu and Ian Pendleton and Abigail Ward},
journal= {arXiv preprint arXiv:1510.07606},
year = {2018}
}