An existence result for superparabolic functions
type: Item
instance of: scholarly article
title: An existence result for superparabolic functions
zbMATH Open document ID: 1184.35185
author: Juha Kinnunen
author: Teemu Lukkari
author: Mikko Parviainen
published in: Journal of Functional Analysis
publication date: 2010-01-11T00:00:00Z
review text: The authors study superparabolic functions related to nonlinear parabolic equations. They are defined by means of a parabolic comparison principle with respect to solutions. We recall that superparabolic solutions are related to viscosity solutions of the \(p\)-Laplacian thanks to very recent and deep results. The authors shows a interesting property, i.e., they show that every superparabolic function satisfies the equation with a positive Radon measure on the right-hand side, and conversely, for every finite positive Radon measure there exists a superparabolic function which is solution to the corresponding equation with measure data.
reviewed by: Vincenzo Vespri
Mathematics Subject Classification ID: 35K92
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 5655694
zbMATH Keywords: measure data
zbMATH Keywords: parabolic comparison principle
Wikidata QID: Q110085996
MaRDI profile type: Publication
full work available at URL: j.jfa.2009.08.009
OpenAlex ID: W1971844998
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DOI: 10.1016/J.JFA.2009.08.009
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description: scientific article; zbMATH DE number 5655694