Concavity of Solutions of the Porous Medium Equation

DOI10.2307/2000482zbMath0628.76092OpenAlexW3183284731MaRDI QIDQ3765483

Juan Luis Vazquez, Philippe Benilan

Publication date: 1987

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2000482

zbMATH Keywords

concavityinterfacesTrotter-Kato formulalarge time behavior of solutions

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65)

Related Items (7)

Eventual \(C^{\infty}\)-regularity and concavity for flows in one- dimensional porous media ⋮ Geometrical properties of the solutions of one-dimensional nonlinear parabolic equations ⋮ The occurrence of interfaces in nonlinear diffusion-advection processes ⋮ Non-preservation of \(\alpha\)-concavity for the porous medium equation ⋮ Long-time behaviour of solutions of a class of nonlinear parabolic equations ⋮ Regularity of solutions and interfaces of the porous medium equation via local estimates ⋮ Large-time geometrical properties of solutions of the Barenblatt equation of elasto-plastic filtration

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