A porous media equation with absorption. I: Long time behaviour

DOI10.1006/jmaa.1998.5961zbMath0907.35020OpenAlexW2007908618MaRDI QIDQ1269594

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.1998.5961

zbMATH Keywords

very singular solutionunique nonnegative solution

Mathematics Subject Classification ID

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

Related Items (9)

Complete classification of shape functions of self-similar solutions ⋮ Grow-up rate of solutions for the heat equation with a sublinear source ⋮ Self-similar singular solution of fast diffusion equation with gradient absorption terms ⋮ 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 ⋮ Self-similar singular solution of doubly singular parabolic equation with gradient absorption term ⋮ The asymptotic self-similar behavior for the quasilinear heat equation with nonlinear boundary condition ⋮ A porous media equation with absorption. II: Uniqueness of the very singular solution

Cites Work

• Unnamed Item
• 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
• Large time behavior of the solutions of a semilinear parabolic equation in \(\mathbb R^ n\)
• Source-type solutions of degenerate diffusion equations with absorption
• 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. II: Uniqueness of the very singular solution
• 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
• A semilinear heat equation with singular initial data
• Large time behavior of solutions of a dissipative semilnear heat equation

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