\(C^{1,\alpha}\) regularity of interface of some nonlinear degenerate parabolic equations

DOI10.1016/S0362-546X(99)00127-3zbMath0961.35076OpenAlexW2058332430WikidataQ126340427 ScholiaQ126340427MaRDI QIDQ1586658

Youngsang Ko

Publication date: 15 May 2001

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/s0362-546x(99)00127-3

zbMATH Keywords

degenerate equationregularity of interface

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order parabolic equations (35K15)

Cites Work

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• Degenerate parabolic equations
• Hölder estimates for quasilinear doubly degenerate parabolic equations
• On \(C_{\alpha}\)-regularity of the gradient of solutions of degenerate parabolic systems
• Hölder continuity of the gradient of the solutions of certain degenerate parabolic equations
• C1,α regularity of the free boundary for the n-dimensional porous media equation
• Regularity for the Interfaces of Evolutionary <scp>p</scp>-Laplacian Functions
• Lipschitz continuity of the free boundary of some nonlinear degenerate parabolic equations

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