Local boundedness of a mixed local-nonlocal doubly nonlinear equation

DOI10.1007/S00028-022-00832-4zbMath1498.35122OpenAlexW4294164019WikidataQ113906293 ScholiaQ113906293MaRDI QIDQ2082575

Kenta Nakamura

Publication date: 4 October 2022

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

Full work available at URL: https://doi.org/10.1007/s00028-022-00832-4

zbMATH Keywords

Caccioppoli estimatefractional Sobolev spacelocal-nonlocal doubly nonlinear equationnonlocal De Giorgi-Nash-Moser iteration

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Fractional partial differential equations (35R11) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (3)

Harnack's estimate for a mixed local-nonlocal doubly nonlinear parabolic equation ⋮ Local properties of fractional parabolic De Giorgi classes of order \(s, p\) ⋮ Existence of a sign-changing weak solution to doubly nonlinear parabolic equations

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