Analysis of blowup for a nonlinear degenerate parabolic equation
type: Item
instance of: scholarly article
title: Analysis of blowup for a nonlinear degenerate parabolic equation
zbMATH Open document ID: 0830.35064
author: Hongwei Chen
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-08-16T00:00:00Z
review text: The equation \(u_t = u^\alpha (\Delta u + u)\) with the homogeneous Dirichlet boundary condition is studied. A sufficient condition for blow- up is given and an estimate of the blow-up times is found. Under some assumptions it is shown that the blow-up set has positive measure and a result on the asymptotic behavior near the blow-up time is derived.
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K60
zbMATH DE Number: 786125
zbMATH Keywords: homogeneous Dirichlet boundary condition
zbMATH Keywords: blow-up set
reviewed by: Marek Fila
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1166
OpenAlex ID: W2123663740
DOI: 10.1006/JMAA.1995.1166
description: scientific article; zbMATH DE number 786125