Hölder regularity of solutions of degenerate elliptic and parabolic equations.

DOI10.1016/S0022-1236(02)00045-9zbMath1107.35033MaRDI QIDQ1402317

Ki-Ahm Lee, Panagiota Daskalopoulos

Publication date: 20 August 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Degenerate elliptic equations (35J70)

Related Items

Schauder estimates for singular parabolic and elliptic equations of Keldysh type, Krylov-Safonov estimates for a degenerate diffusion process, Harnack’s inequality for a class of non-divergent equations in the Heisenberg group, Solutions of singular elliptic equations via the oblique derivative problem, Hölder estimates for solutions of degenerate nondivergence elliptic and parabolic equations, On the heat diffusion starting with degeneracy, Optimal Hölder Continuity for a Class of Degenerate Elliptic Problems with an Application to Subsonic-Sonic Flows, Boundary Hölder estimates for a class of degenerate elliptic equations in piecewise smooth domains, Higher regularity up to boundary for degenerate parabolic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Interior a priori estimates for solutions of fully nonlinear equations
• All time \(C^\infty\)-regularity of the interface in degenerate diffusion: A geometric approach
• Worn stones with flat sides all time regularity of the interface
• On regular solutions of second order degenerate elliptic–parabolic equations
• On an Aleksandrov-Bakel'Man Type Maximum Principle for Second-Order Parabolic Equations
• On the regularity theory of fully nonlinear parabolic equations: I
• On the regularity theory of fully nonlinear parabolic equations: II
• Elliptic Partial Differential Equations of Second Order
• Regularity of the free boundary for the porous medium equation
• The free boundary in the Gauss Curvature Flow with flat sides
• Degenerate elliptic‐parabolic equations of second order