Weak Harnack inequality for a mixed local and nonlocal parabolic equation

DOI10.1016/J.JDE.2023.02.049OpenAlexW3169364381MaRDI QIDQ2698322

Juha Kinnunen, Prashanta Garain

Publication date: 21 April 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.15016

zbMATH Keywords

energy estimatesreverse Hölder inequalityweak Harnack inequalityMoser iterationmixed local and nonlocal Laplace operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Integro-differential operators (47G20) Second-order parabolic equations (35K10) Fractional partial differential equations (35R11)

Related Items (4)

Regularity of weak solutions for mixed local and nonlocal double phase parabolic equations ⋮ Gradient Hölder regularity in mixed local and nonlocal linear parabolic problem ⋮ Harnack inequality for mixed local and nonlocal parabolic \(p\)-Laplace equations ⋮ Hölder regularity for mixed local and nonlocal \(p\)-Laplace parabolic equations

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