On the modulus of continuity of solutions to nonlocal parabolic equations

DOI10.1112/JLMS.12985MaRDI QIDQ6618672

Naian Liao

Publication date: 15 October 2024

Published in: Journal of the London Mathematical Society. Second Series (Search for Journal in Brave)

zbMATH Keywords

nonlocal \(p\)-Laplacian with measurable kernels

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Integro-differential operators (47G20) Fractional partial differential equations (35R11)

Cites Work

• Local behavior of fractional \(p\)-minimizers
• Regularity results and Harnack inequalities for minimizers and solutions of nonlocal problems: a unified approach via fractional De Giorgi classes
• Degenerate parabolic equations
• A priori estimates for integro-differential operators with measurable kernels
• Local boundedness and Hölder continuity for the parabolic fractional \(p\)-Laplace equations
• Local Regularity for Parabolic Nonlocal Operators
• Regularity theory for parabolic nonlinear integral operators
• Hölder regularity for parabolic fractional \(p\)-Laplacian
• A Hölder estimate with an optimal tail for nonlocal parabolic \(p\)-Laplace equations

Related Items (1)

Higher Hölder regularity for a subquadratic nonlocal parabolic equation

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