Large-time geometric properties of solutions of the evolution \(p\)-Laplacian equation
type: Item
instance of: scholarly article
title: Large-time geometric properties of solutions of the evolution \(p\)-Laplacian equation
zbMATH Open document ID: 1108.35097
author: Ki-Ahm Lee
author: Arshak Petrosyan
author: Juan Luis Vázquez
published in: Journal of Differential Equations
publication date: 2006-11-15T00:00:00Z
review text: The Cauchy problem for the parabolic \(p\)-Laplacian equation is considered. The authors prove a nonlinear concavity estimate for the pressure away from the maximum point provided the initial data are nonnegative, continuous and compactly supported. This estimate implies (among other things) the convexity of the support for large time.
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 5072893
zbMATH Keywords: parabolic \(p\)-Laplacian equation
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: convexity of the support
zbMATH Keywords: nonlinear concavity estimate
reviewed by: Marek Fila
MaRDI profile type: Publication
full work available at URL: j.jde.2005.07.028
OpenAlex ID: W1994745025
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DOI: 10.1016/J.JDE.2005.07.028
description: scientific article; zbMATH DE number 5072893