Local Hölder continuity of nonnegative weak solutions of degenerate parabolic equations

DOI10.1016/j.na.2009.12.007zbMath1184.35097OpenAlexW2031370498MaRDI QIDQ2267555

Yongzhong Wang

Publication date: 1 March 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.12.007

zbMATH Keywords

local boundednessMoser's method

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Second-order parabolic equations (35K10)

Related Items (2)

Harnack estimates for a quasi-linear parabolic equation with a singular weight ⋮ Local boundedness of local weak solutions for doubly degenerate parabolic systems with singular weights

Cites Work

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• Degenerate parabolic equations
• Hölder estimates for quasilinear doubly degenerate parabolic equations
• Local boundedness for doubly degenerate quasi-linear parabolic systems
• Hölder continuity of solutions for higher order degenerate nonlinear parabolic equations
• Hölder regularity and Harnack inequality for degenerate parabolic equations related to Caffarelli-Kohn-Nirenberg inequalities
• Weighted Poincare and Sobolev Inequalities and Estimates for Weighted Peano Maximal Functions

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