A porous media equation with absorption. II: Uniqueness of the very singular solution

DOI10.1006/jmaa.1998.5962zbMath0907.35021OpenAlexW1979521726MaRDI QIDQ1269595

Minkyu Kwak

Publication date: 15 February 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.5962

zbMATH Keywords

self-similar solution

Mathematics Subject Classification ID

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

Related Items (7)

Large time behavior for the fast diffusion equation with critical absorption ⋮ Complete classification of shape functions of self-similar solutions ⋮ A very singular solution for the slow diffusion equation with nonlinear convection ⋮ Asymptotic behaviour of solutions of a degenerate parabolic equation ⋮ Uniqueness of the very singular solution of a degenerate parabolic equation ⋮ Singular solutions of parabolic $p$-Laplacian with absorption ⋮ A porous media equation with absorption. I: Long time behaviour

Cites Work

• Large time behaviour of solutions of the porous media equation with absorption
• Attractivity properties of nonnegative solutions for a class of nonlinear degenerate parabolic problems
• A very singular solution of the heat equation with absorption
• Existence and uniqueness on the very singular solution of the porous media equation with absorption
• A porous media equation with absorption. I: Long time behaviour
• Singular solutions of some nonlinear parabolic equations
• A very singular solution of the porous media equation with absorption
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• Large time behaviour of solutions of the porous media equation with absorption: the fast diffusion case

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