Elliptic gradient estimates for a nonlinear \(f\)-heat equation on weighted manifolds with evolving metrics and potentials

DOI10.1016/j.chaos.2020.110329zbMath1496.53100OpenAlexW3111435049MaRDI QIDQ2128219

Yanyan Li

Publication date: 21 April 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2020.110329

zbMATH Keywords

maximum principleheat kernellogarithmic Sobolev inequalitiesweighted manifoldsgradient estimatesPerelman-Ricci flow

Mathematics Subject Classification ID

Heat equation (35K05) Diffusion processes (60J60) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Ricci flows (53E20)

Related Items (5)

Gradient estimates for a weighted \(\Gamma\)-nonlinear parabolic equation coupled with a super Perelman-Ricci flow and implications ⋮ Liouville theorems and elliptic gradient estimates for a nonlinear parabolic equation involving the Witten Laplacian ⋮ Harnack inequalities for a class of heat flows with nonlinear reaction terms ⋮ Triviality of bounded solutions and gradient estimates for nonlinear \(f\)-heat equations on complete smooth metric measure spaces ⋮ Gradient estimates for a general type of nonlinear parabolic equations under geometric conditions and related problems

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