Uniform blow-up estimates for nonlinear heat equations and applications
type: Item
instance of: scholarly article
title: Uniform blow-up estimates for nonlinear heat equations and applications
zbMATH Open document ID: 1019.35044
author: Frank Merle
author: H. Zaag
published in: Methods and Applications of Analysis
publication date: 2003-09-16T00:00:00Z
review text: In this survey the authors review their results on sharp uniform estimates at blow-up and on the blow-up profiles of solutions of the equation \(u_t=\Delta u + |u|^{p-1}u\) in \(\mathbb R^N\) where \(p>1\) and \((N-2)p<N+2\). Many of these results are obtained using a Liouville theorem for solutions of the above equation that are defined on \(\mathbb R^N\times (-\infty,0)\).
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 1850438
zbMATH Keywords: semilinear parabolic equation
zbMATH Keywords: blow-up profiles
zbMATH Keywords: Liouville theorem
reviewed by: Marek Fila
MaRDI profile type: Publication
DOI: 10.4310/MAA.2001.V8.N4.A5
description: scientific article; zbMATH DE number 1850438