Hamilton type gradient estimates for a general type of nonlinear parabolic equations on Riemannian manifolds

DOI10.3934/math.2021610OpenAlexW3191331727MaRDI QIDQ2671091

Fanqi Zeng

Publication date: 3 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021610

zbMATH Keywords

gradient estimateLiouville type theoremcurvatureparabolic equationgeometric flow

Mathematics Subject Classification ID

Cites Work

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• A maximum principle for generalizations of harmonic maps in Hermitian, affine, Weyl, and Finsler geometry
• Gradient estimates and Harnack inequalities of a nonlinear parabolic equation for the \(V\)-Laplacian
• Harnack estimates for heat equations with potentials on evolving manifolds
• Gradient estimates for the porous medium equations on Riemannian manifolds
• Li-Yau-Hamilton estimates and Bakry-Emery-Ricci curvature
• Differential Harnack inequalities on Riemannian manifolds. I: Linear heat equation
• The formation of singularities in the harmonic map heat flow
• Existence and Liouville theorems for \(V\)-harmonic maps from complete manifolds
• Gradient estimates for positive solutions of the heat equation under geometric 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
• A matrix Harnack estimate for the heat equation
• Liouville type theorems of a nonlinear elliptic equation for the \(V\)-Laplacian
• Li-Yau type and Souplet-Zhang type gradient estimates of a parabolic equation for the \(V\)-Laplacian
• Gradient estimates and differential Harnack inequalities for a nonlinear parabolic equation on Riemannian manifolds
• Gradient estimates and Harnack inequalities for a Yamabe-type parabolic equation under the Yamabe flow
• Gradient estimates and Harnack inequalities of a parabolic equation under geometric flow
• Sharp Li-Yau-type gradient estimates on hyperbolic spaces
• Gradient estimates of a nonlinear elliptic equation for the \(V\)-Laplacian
• Local elliptic gradient estimates for a nonlinear parabolic equation under the Ricci flow
• Elliptic gradient estimates for a weighted heat equation and applications
• Gradient estimate for a nonlinear heat equation on Riemannian manifolds
• SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS
• Harmonic functions on complete riemannian manifolds
• Differential equations on riemannian manifolds and their geometric applications
• Gradient estimates for a nonlinear heat equation under the Finsler-Ricci flow
• GRADIENT ESTIMATES OF A NONLINEAR ELLIPTIC EQUATION FOR THE V -LAPLACIAN
• Hamilton’s gradient estimate for the heat kernel on complete manifolds

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