Convergence of blow-up solutions of nonlinear heat equations in the supercritical case

DOI10.1017/S0308210500019351zbMath0940.35020MaRDI QIDQ4935380

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Publication date: 10 July 2000

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergenceself-similar variablesradially symmetric nonnegative solutionssupercritical power

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

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Existence of peaking solutions for semilinear heat equations with blow-up profile above the singular steady state ⋮ Nonexistence of type II blowup solution for a semilinear heat equation ⋮ Entire and ancient solutions of a supercritical semilinear heat equation ⋮ On Nonexistence of type II blowup for a supercritical nonlinear heat equation ⋮ Nonconstant selfsimilar blow-up profile for the exponential reaction-diffusion equation ⋮ On the multiplicity of self-similar solutions of the semilinear heat equation ⋮ Classification of type I and type II behaviors for a supercritical nonlinear heat equation ⋮ Nonexistence of backward self-similar blowup solutions to a supercritical semilinear heat equation

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