Gradient estimate for a nonlinear heat equation on Riemannian manifolds

DOI10.1090/proc/12995zbMath1345.58009OpenAlexW2342289413WikidataQ115290847 ScholiaQ115290847MaRDI QIDQ2809219

Xinrong Jiang

Publication date: 27 May 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/12995

zbMATH Keywords

gradient estimateRiemannian manifoldLiouville theoremnonlinear heat equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (11)

Hamilton type gradient estimates for a general type of nonlinear parabolic equations on Riemannian manifolds ⋮ Gradient estimates of positive solutions for the weighted nonlinear parabolic equation ⋮ Gradient estimate for fast diffusion equations on Riemannian manifolds ⋮ Upper bounds of Hessian matrix and gradient estimates of positive solutions to the nonlinear parabolic equation along Ricci flow ⋮ Elliptic gradient estimates for a nonlinear heat equation and applications ⋮ Harnack inequality, heat kernel bounds and eigenvalue estimates under integral Ricci curvature bounds ⋮ Some gradient estimates and Liouville properties of the fast diffusion equation on Riemannian manifolds ⋮ Global gradient estimates for a general type of nonlinear parabolic equations ⋮ Sharp gradient estimates for a heat equation in Riemannian manifolds ⋮ Gradient estimates for a general type of nonlinear parabolic equations under geometric conditions and related problems ⋮ Liouville type theorems and gradient estimates for nonlinear heat equations along ancient \(K\)-super Ricci flow via reduced geometry

Cites Work

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• Gradient estimates for the p-Laplace heat equation under the Ricci flow
• Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds

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