Singular solutions of parabolic $p$-Laplacian with absorption

DOI10.1090/S0002-9947-07-04336-XzbMath1213.35267MaRDI QIDQ3595035

Xinfu Chen, Mingxin Wang, Yuan-wei Qi

Publication date: 9 August 2007

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

zbMATH Keywords

fundamental solution\(p\)-Laplacianabsorptionfast diffusionvery singular solution

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)

Related Items (8)

Complete quenching phenomenon for a parabolic \(p\)-Laplacian equation with a weighted absorption ⋮ Evolution equations of p-Laplace type with absorption or source terms and measure data ⋮ Positive periodic wave solutions of singular non-Newtonian filtration equations ⋮ Existence and uniqueness of singular solutions of $p$-Laplacian with absorption for Dirichlet boundary condition ⋮ Asymptotic behavior for a singular diffusion equation with gradient absorption ⋮ Extinction and positivity for the evolution \(p\)-Laplacian equations with absorption on networks ⋮ Monotonicity of solutions for fractional \(p\)-equations with a gradient term ⋮ Initial trace of solutions of some quasilinear parabolic equations with absorption

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