Differential Harnack Estimates for Fisher's Equation

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.

References in corpus (1)

• Harnack Estimate for the Endangered Species Equation

Cited by in corpus (2)

• Gradient estimates for a nonlinear parabolic equation and Liouville theorems
• Differential Harnack inequalities for semilinear parabolic equations on Riemannian manifolds I: Bakry-Émery curvature bounded below