Hamilton-Souplet-Zhang's gradient estimates and Liouville theorems for a nonlinear parabolic equation

DOI10.1016/j.crma.2018.04.003zbMath1388.58018OpenAlexW2797823384MaRDI QIDQ1747416

Fanqi Zeng, Bingqing Ma

Publication date: 8 May 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2018.04.003

zbMATH Keywords

nonlinear parabolic equationpositive solutionsLiouville-type theoremnoncompact Riemannian manifoldsHamilton-Souplet-Zhang's gradient estimates

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Positive solutions to PDEs (35B09)

Related Items (5)

Gradient Estimates and Harnack Inequalities of a Nonlinear Heat Equation for the Finsler-Laplacian ⋮ GRADIENT ESTIMATES OF A NONLINEAR ELLIPTIC EQUATION FOR THE V -LAPLACIAN ⋮ Harnack inequalities for a class of heat flows with nonlinear reaction terms ⋮ Global gradient estimates for a general type of nonlinear parabolic equations ⋮ Triviality of bounded solutions and gradient estimates for nonlinear \(f\)-heat equations on complete smooth metric measure spaces

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