A New Unified Method for Boundary Hölder Continuity of Parabolic Equations

DOI10.1007/S12220-024-01633-6MaRDI QIDQ6493916

Chao Zhang, Mengyao Ding

Publication date: 29 April 2024

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

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Comparison principles in context of PDEs (35B51)

Cites Work

• Boundary regularity for the fractional heat equation
• Modulus of continuity of a harmonic function at a boundary point
• Wiener estimates at boundary points for parabolic equations
• A boundary estimate for degenerate parabolic diffusion equations
• Boundary Hölder regularity for elliptic equations
• Boundary behavior of solutions of elliptic equations in nondivergence form
• A strong maximum principle for parabolic equations with the \(p\)-Laplacian
• On maximum and comparison principles for parabolic problems with the \(p\)-Laplacian
• Regularity theory for general stable operators: parabolic equations
• Elliptic Partial Differential Equations of Second Order
• Quasilinear parabolic problem with variable exponent: Qualitative analysis and stabilization
• On the Dirichlet Boundary Value Problem for a Degenerate Parabolic Equation

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