Differential Harnack estimates for Fisher's equation

DOI10.2140/pjm.2017.290.273zbMath1372.58016arXiv1510.07606OpenAlexW3103430187MaRDI QIDQ2398622

Abigail Ward, Ian Pendleton, Bowei Liu, Xiaodong Cao

Publication date: 18 August 2017

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07606

zbMATH Keywords

traveling waveFisher equationFisher-KPPdifferential Harnack estimatesclassical Harnack

Mathematics Subject Classification ID

Heat and other parabolic equation methods for PDEs on manifolds (58J35) Quasilinear parabolic equations (35K59)

Related Items (9)

Differential Harnack estimates for a nonlinear evolution equation of Allen-Cahn type ⋮ Gradient estimates for weighted \(p\)-Laplacian equations on Riemannian manifolds with a Sobolev inequality and integral Ricci bounds ⋮ Gradient estimates for the Fisher-KPP equation on Riemannian manifolds ⋮ Gradient estimates for the nonlinear parabolic equation with two exponents on Riemannian manifolds ⋮ 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 ⋮ Harnack inequalities for a class of heat flows with nonlinear reaction terms ⋮ Gradient estimates for a class of semilinear parabolic equations and their applications ⋮ An invariant second-order curve flow in centro-affine geometry

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• Application of brownian motion to the equation of kolmogorov-petrovskii-piskunov
• On the transition from initial data to travelling waves in the fisher-kpp equation

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