Blow-up results for a class of first-order nonlinear evolution inequalities
type: Item
instance of: scholarly article
title: Blow-up results for a class of first-order nonlinear evolution inequalities
zbMATH Open document ID: 1078.35141
published in: Journal of Differential Equations
publication date: 2005-06-01T00:00:00Z
review text: The authors deal with the nonexistence of solutions to a class of evolution inequalities. The results do not require any assumption on the regularity of data and have wide range of applications. To this end, the authors use the test-function method introduced by Mitidieri and Pokhozhaev. Using a simple and not technical argument, they study the nonexistence of solutions (not only positive) to a general nonhomogeneous problem and are able to show how the blow-up of solutions depend on the data.
reviewed by: Messoud Efendiev
Mathematics Subject Classification ID: 35R45
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 2173047
zbMATH Keywords: Blow-up
zbMATH Keywords: Nonlinear inhomogeneous parabolic inequalities
zbMATH Keywords: Test-function method
author: Anna Maria Piccirillo
author: Luisa Toscano
author: Speranza Toscano
MaRDI profile type: Publication
full work available at URL: j.jde.2004.10.026
OpenAlex ID: W2061336416
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DOI: 10.1016/J.JDE.2004.10.026
description: scientific article; zbMATH DE number 2173047