Parabolic Harnack inequality of viscosity solutions on Riemannian manifolds

DOI10.1016/j.jfa.2014.07.023zbMath1308.35040arXiv1304.7351OpenAlexW2964011623MaRDI QIDQ403314

Soojung Kim, Ki-Ahm Lee

Publication date: 29 August 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7351

zbMATH Keywords

weak Harnack inequalityABP-Krylov-Tso type estimatesequations in nondivergence form

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Viscosity solutions to PDEs (35D40) Global differential geometry (53Cxx)

Related Items

Harnack inequality for degenerate and singular operators of \(p\)-Laplacian type on Riemannian manifolds ⋮ Harnack inequality for quasilinear elliptic equations on Riemannian manifolds ⋮ Second derivative estimates for uniformly elliptic operators on Riemannian manifolds ⋮ Lipschitz regularity for viscosity solutions to parabolic \({p(x,t)}\)-Laplacian equations on Riemannian manifolds ⋮ Harnack inequality for nonlocal operators on manifolds with nonnegative curvature

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