On the strong maximum principle for degenerate parabolic equations

DOI10.1016/j.jde.2007.06.013zbMath1133.35062OpenAlexW1982334886MaRDI QIDQ2460012

Gustaf Gripenberg

Publication date: 9 November 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2007.06.013

zbMATH Keywords

viscosity solutionssubsolutionsupersolution

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65) Maximum principles in context of PDEs (35B50)

Related Items

Parabolic Minkowski convolutions and concavity properties of viscosity solutions to fully nonlinear equations ⋮ Perturbations of local maxima and comparison principles for boundary-degenerate linear differential equations ⋮ The Tychonoff uniqueness theorem for the \(G\)-heat equation

Cites Work

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• On the strong maximum principle for fully nonlinear degenerate elliptic equations
• EXISTENCE AND COMPARISON RESULTS FOR FULLY NONLINEAR DEGENERATE ELLIPTIC EQUATIONS WITHOUT ZEROTH-ORDER TERM1*
• User’s guide to viscosity solutions of second order partial differential equations
• Strong Maximum Principles for Time Degenerate Parabolic Operators
• A strong maximum principle for parabolic equations