Gradient estimates for doubly nonlinear diffusion equations

DOI10.1016/j.na.2014.08.017zbMath1304.35384OpenAlexW2022174019MaRDI QIDQ468623

Changwei Xiong, Da-Guang Chen

Publication date: 7 November 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.08.017

zbMATH Keywords

Harnack inequalitiesclosed Riemannian manifold

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (10)

Local Aronson-Bénilan gradient estimates and Harnack inequality for the porous medium equation along Ricci flow ⋮ Liouville theorem for \(p\)-Laplacian Lichnerowicz equation on compact manifolds ⋮ Differential Harnack estimates and entropy formulae for weighted \(p\)-heat equations ⋮ Gradient estimates for \(p\)-Laplacian Lichnerowicz equation on noncompact metric measure space ⋮ Some general gradient estimates for two nonlinear parabolic equations along Ricci flow ⋮ Harnack inequality, heat kernel bounds and eigenvalue estimates under integral Ricci curvature bounds ⋮ Unnamed Item ⋮ Elliptic gradient estimates for the doubly nonlinear diffusion equation ⋮ Some gradient estimates and Liouville properties of the fast diffusion equation on Riemannian manifolds ⋮ Gradient estimates for nonlinear reaction-diffusion equations on Riemannian manifolds

Cites Work

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• On the Harnack inequalities of partial differential equations
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• Local gradient estimates of $p$-harmonic functions, $1/H$-flow, and an entropy formula
• Energy Estimates and Integral Harnack inequality for some doubly nonlinear singular parabolic equations

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