Global existence and decay of solutions of the porus medium equation with nonlinear boundary conditions

DOI10.1080/03605309208820862zbMath0815.35058OpenAlexW1980053052MaRDI QIDQ4030383

Ján Filo, Piero De Mottoni

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1080/03605309208820862

zbMATH Keywords

global existenceporous medium equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65)

Related Items

Local existence of general nonlinear parabolic systems ⋮ Approximation of degenerate parabolic systems by nondegenerate elliptic and parabolic systems ⋮ Diffusivity versus absorption through the boundary ⋮ Multinonlinear interactions in quasi-linear reaction-diffusion equations with nonlinear boundary flux ⋮ Porous medium equation with absorption and a nonlinear boundary condition ⋮ Finite Time of Stabilization in The One-dimensional Problem of Non-steady Filtration

Cites Work

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• Global solutions for some nonlinear parabolic equations with nonmonotonic perturbations
• A potential well theory for the heat equation with a nonlinear boundary condition
• L.∞-estimate for nonlinear diffusion equation
• L^PBounds of solutions of reaction-diffusion equations

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