Uniqueness of singular self-similar solutions of a semilinear parabolic equation.

zbMath1463.35327arXiv1605.07394MaRDI QIDQ1627475

Pavol Quittner

Publication date: 29 November 2018

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.07394

zbMATH Keywords

scalingbootstrap argumentthreshold solution

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Singular parabolic equations (35K67) Self-similar solutions to PDEs (35C06) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Existence of peaking solutions for semilinear heat equations with blow-up profile above the singular steady state ⋮ Unnamed Item ⋮ Entire and ancient solutions of a supercritical semilinear heat equation ⋮ On the multiplicity of self-similar solutions of the semilinear heat equation

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