A Very Singular Solution of a Quasilinear Degenerate Diffusion Equation With Absorption

DOI10.2307/2001200zbMath0696.35094OpenAlexW4247226009MaRDI QIDQ3472518

Junyu Wang, Lambertus A. Peletier

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2001200

zbMATH Keywords

singular solutionabsorptiondegenerate diffusion equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)

Related Items (14)

Self-similar singular solutions of a \(p\)-Laplacian evolution equation with absorption ⋮ Singular solutions of some nonlinear parabolic equations ⋮ Existence and uniqueness of singular solutions of $p$-Laplacian with absorption for Dirichlet boundary condition ⋮ A very singular solution and other self-similar solutions of the heat equation with convection ⋮ Asymptotic behavior for a singular diffusion equation with gradient absorption ⋮ Self-similar singular solution of fast diffusion equation with gradient absorption terms ⋮ 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 ⋮ Singular solutions of parabolic $p$-Laplacian with absorption ⋮ Existence and uniqueness of very singular solution of a degenerate parabolic equation with nonlinear convection ⋮ On the radial solutions of a degenerate quasilinear elliptic equation in \(\mathbb{R}^N\) ⋮ Initial trace of solutions of some quasilinear parabolic equations with absorption ⋮ Classification of razor blades to the filtration equation -- the sublinear case.

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Singular solutions of some quasilinear elliptic equations
• A very singular solution of the heat equation with absorption
• A very singular solution of the porous media equation with absorption
• Singular Solutions of the Heat Equation with Absorption
• Variational problems related to self-similar solutions of the heat equation

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