Regularity theory for mixed local and nonlocal parabolic \(p\)-Laplace equations

DOI10.1007/S12220-021-00768-0zbMath1479.35160arXiv2107.09825OpenAlexW3185855590MaRDI QIDQ2061535

Chao Zhang, Yuzhou Fang, Bin Shang

Publication date: 15 December 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.09825

zbMATH Keywords

Hölder continuitylocal boundednessDe Giorgi-Nash-Moser iterationCaccioppoli-type inequality

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) Quasilinear parabolic equations with (p)-Laplacian (35K92) Integro-partial differential equations (35R09)

Related Items (10)

Higher Hölder regularity for mixed local and nonlocal degenerate elliptic equations ⋮ Mixed local and nonlocal supercritical Dirichlet problems ⋮ Harnack's estimate for a mixed local-nonlocal doubly nonlinear parabolic equation ⋮ Gradient Hölder regularity in mixed local and nonlocal linear parabolic problem ⋮ A strong maximum principle for mixed local and nonlocal p-Laplace equations ⋮ Boundary regularity of mixed local-nonlocal operators and its application ⋮ Harnack inequality for mixed local and nonlocal parabolic \(p\)-Laplace equations ⋮ Gradient regularity in mixed local and nonlocal problems ⋮ Mixed local and nonlocal equations with measure data ⋮ Hölder regularity for mixed local and nonlocal \(p\)-Laplace parabolic equations

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