Local Existence And Uniqueness of Solutions of Degenerate Parabolic Equations

DOI10.1080/03605309108820753zbMath0738.35033OpenAlexW2090628436MaRDI QIDQ3971591

Jeffrey R. Anderson

Publication date: 25 June 1992

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309108820753

zbMATH Keywords

comparisonuniquenessmixed boundary conditionscontinuous dependence theoremsblow up of solutions in finite time

Mathematics Subject Classification ID

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Cites Work

• Flow through a porous column
• Mixed boundary value problems for elliptic and parabolic differential equations of second order
• On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium
• Hölder continuity of the gradient of solutions of uniformly parabolic equations with conormal boundary conditions
• Properties of solutions of an equation in the theory of infiltration
• Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time
• Stability and Instability for Solutions of Burgers’ Equation with a Semilinear Boundary Condition
• Continuity of solutions of a singular parabolic equation

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