Subcritical nonlinear heat equation
type: Item
instance of: scholarly article
title: Subcritical nonlinear heat equation
zbMATH Open document ID: 1132.35046
author: Nakao Hayashi
author: Pavel I. Naumkin
author: Elena I. Kaikina
published in: Journal of Differential Equations
publication date: 2007-07-19T00:00:00Z
review text: The Cauchy problem for a semilinear parabolic equation is considered. The existence of a family of sign-changing self-similar solutions is established. It is also shown that these self-similar solutions are stable in a suitable sense.
reviewed by: Marek Fila
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 5173081
zbMATH Keywords: semilinear parabolic equation
zbMATH Keywords: self-similar solutions
zbMATH Keywords: sign-changing self-similar solutions
MaRDI profile type: Publication
full work available at URL: j.jde.2007.04.007
OpenAlex ID: W2065640854
cites work: Q3818689
cites work: Large time behavior of solutions of a dissipative semilnear heat equation
cites work: Q5547841
cites work: Large time behavior of the solutions of a semilinear parabolic equation in \(\mathbb R^ n\)
cites work: On nonexistence of global solutions of some semilinear parabolic differential equations
cites work: Large-time behaviour of solutions to the dissipative nonlinear Schrödinger equation
cites work: LANDAU–GINZBURG TYPE EQUATIONS IN THE SUBCRITICAL CASE
cites work: On the growing problem for semilinear heat equations
DOI: 10.1016/J.JDE.2007.04.007
description: scientific article; zbMATH DE number 5173081