Global solutions of the fast diffusion equation with gradient absorption terms
type: Item
instance of: scholarly article
title: Global solutions of the fast diffusion equation with gradient absorption terms
zbMATH Open document ID: 1109.35062
author: Mingxin Wang
author: Peihu Shi
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-01-09T00:00:00Z
review text: In the present study the authors consider the Cauchy problem of the fast diffusion equation with nonlinear gradient absorption terms \[ u_t-\Delta(u^m)+ |\nabla u|^p=0\text{ in }\mathbb{R}^d\times(0,\infty)\quad u(x,0)=u_0(x)\text{ in } \mathbb{R}^d, \] where \(1<p<2\) and \((1-\frac 2d)^+<m<1\). The authors also study the large time behaviour of the \(L^1\)-norm of solutions.
reviewed by: Messoud Efendiev
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 5083589
zbMATH Keywords: gradient estimate
zbMATH Keywords: large time behaviour
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.02.094
OpenAlex ID: W2092147975
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DOI: 10.1016/J.JMAA.2006.02.094
description: scientific article; zbMATH DE number 5083589