On the Hölder continuity of solutions to nonlinear parabolic equations degenerating on part of the domain

DOI10.1134/S1064562415040055zbMath1331.35177OpenAlexW2178157390MaRDI QIDQ892716

Mikhail D. Surnachev

Publication date: 12 November 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562415040055

zbMATH Keywords

nonlinear parabolic equationsHölder continuitydegenerate parabolic equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65)

Related Items (2)

The boundary behavior of a solution to the Dirichlet problem for the \(p\)-Laplacian with weight uniformly degenerate on a part of domain with respect to small parameter ⋮ Hölder continuity of solutions of an elliptic \(p(x)\)-Laplace equation uniformly degenerate on a part of the domain

Cites Work

• Unnamed Item
• Gaussian upper bounds for fundamental solutions of a family of parabolic equations
• Degenerate parabolic equations
• Hölder continuity of solutions of an elliptic equation uniformly degenerating on part of the domain
• Harnack inequality for a class of second-order degenerate elliptic equations
• Harnack estimates for quasi-linear degenerate parabolic differential equations
• A transmission problem in the calculus of variations
• Hölder continuity of solutions to parabolic equations uniformly degenerating on a part of the domain
• Harnack's Inequality for Degenerate and Singular Parabolic Equations

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