Scaling in nonlinear parabolic equations
type: Item
instance of: scholarly article
title: Scaling in nonlinear parabolic equations
zbMATH Open document ID: 0937.35086
author: Grzegorz Karch
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-09-12T00:00:00Z
review text: The Cauchy problem for parabolic equations with quadratic nonlinearity is studied. We investigate the existence of global-in-time solutions and their large-time behavior assuming some scaling property of the equation as well as of the norm of the Banach space in which the solutions are constructed. Some applications of these abstract results are indicated.
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35A25
zbMATH DE Number: 1334725
zbMATH Keywords: quadratic nonlinearity
zbMATH Keywords: large-time behavior
reviewed by: Anthony D. Osborne
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6370
OpenAlex ID: W2091317965
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DOI: 10.1006/JMAA.1999.6370
description: scientific article; zbMATH DE number 1334725