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arXiv · 1510.07606

Differential Harnack Estimates for Fisher's Equation

Xiaodong Cao·Bowei Liu·Ian Pendleton·Abigail Ward
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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.

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Xiaodong Cao, Bowei Liu, Ian Pendleton, Abigail Ward. 2016-10-06. Differential Harnack Estimates for Fisher's Equation. https://doi.org/10.2140/pjm.2017.290.273

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