Singular backward self-similar solutions of a semilinear parabolic equation

DOI10.3934/dcdss.2011.4.897zbMath1210.35150OpenAlexW2315098281MaRDI QIDQ2430172

Eiji Yanagida, Shota Sato

Publication date: 6 April 2011

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2011.4.897

zbMATH Keywords

critical exponentsemilinear parabolic equationsingular solutionbackward self-similar solution

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33)

Related Items (11)

Time-dependent singularities in semilinear parabolic equations: behavior at the singularities ⋮ Solutions with snaking singularities for the fast diffusion equation ⋮ Solutions with moving singularities for equations of porous medium type ⋮ Moving singularities for nonlinear diffusion equations in two space dimensions ⋮ Convergence rate to singular steady states in a semilinear parabolic equation ⋮ Higher-dimensional moving singularities in a superlinear parabolic equation ⋮ Unnamed Item ⋮ Singular solutions of a superlinear parabolic equation with homogeneous Neumann boundary conditions ⋮ Lack of smoothing for bounded solutions of a semilinear parabolic equation ⋮ Singularities of certain finite energy solutions to the Navier-Stokes system ⋮ Time-dependent singularities in the Navier-Stokes system

This page was built for publication: Singular backward self-similar solutions of a semilinear parabolic equation