Backward selfsimilar solutions of supercritical parabolic equations

DOI10.1016/j.aml.2008.07.018zbMath1173.35547OpenAlexW1972597210MaRDI QIDQ1023076

Aappo Pulkkinen, Marek Fila

Publication date: 10 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.07.018

zbMATH Keywords

selfsimilar solutionsnumber of intersectionssupercritical parabolic equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Critical exponents in context of PDEs (35B33)

Related Items (5)

Backward solutions to nonlinear integro-differential systems ⋮ Existence of peaking solutions for semilinear heat equations with blow-up profile above the singular steady state ⋮ Entire and ancient solutions of a supercritical semilinear heat equation ⋮ On a class of Volterra nonlinear equations of parabolic type ⋮ On the multiplicity of self-similar solutions of the semilinear heat equation

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• Single-point blow-up on the boundary where the zero Dirichlet boundary condition is imposed
• Asymptotically self‐similar blow‐up of semilinear heat equations
• The Existence of Bounded Solutions of a Semilinear Heat Equation
• Singular and regular solutions of a nonlinear parabolic system

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