Gradient estimates for the Fisher-KPP equation on Riemannian manifolds

DOI10.1186/s13661-018-0946-6zbMath1405.58007OpenAlexW2797968275WikidataQ115241510 ScholiaQ115241510MaRDI QIDQ1633736

Xin Geng, Song Bo Hou

Publication date: 20 December 2018

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-018-0946-6

zbMATH Keywords

gradient estimateHarnack inequalityFisher-KPP equation

Mathematics Subject Classification ID

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

Related Items

Differential Harnack estimates for a nonlinear evolution equation of Allen-Cahn type, Gradient estimates for the nonlinear parabolic equation with two exponents on Riemannian manifolds, Harnack inequalities for a class of heat flows with nonlinear reaction terms

Cites Work

• Unnamed Item
• Lichnerowicz-type equations on complete manifolds
• Gradient estimates for the heat equation under the Ricci-harmonic map flow
• An extension of E. Hopf's maximum principle with an application to Riemannian geometry
• Differential Harnack estimates for backward heat equations with potentials under the Ricci flow
• Gradient estimates for the heat equation under the Ricci flow
• On the parabolic kernel of the Schrödinger operator
• Gradient estimates and Harnack inequalities for nonlinear parabolic and nonlinear elliptic equations on Riemannian manifolds
• Gradient estimates and a Liouville type theorem for the Schrödinger operator
• Differential Harnack estimates for Fisher's equation
• Differential Harnack estimates for time-dependent heat equations with potentials
• Nonlinear PDEs
• SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS
• Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
• Bistable traveling waves around an obstacle
• Harmonic functions on complete riemannian manifolds
• Differential equations on riemannian manifolds and their geometric applications
• Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
• Travelling fronts and entire solutions of the Fisher-KPP equation in \({\mathbb R}^N\)