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Annales Polonici Mathematici
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Annales Polonici Mathematici
Article . 2003 . Peer-reviewed
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https://dx.doi.org/10.4064/ap8...
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A generalization of the maximum principle to nonlinear parabolic systems

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2003 English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Annales Polonici Mathematici, volume 81, pages 217-236 (issn: 0066-2216, eissn: 1730-6272, Copyright policy )
Authors: Portnyagin, Dmitry;

doi: 10.4064/ap81-3-2

A generalization of the maximum principle to nonlinear parabolic systems

Abstract

The author establishes a generalization of the weak maximum principle for a class of quasilinear strongly parabolic systens with leading terms of \(p\)-Laplacian type.

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Keywords

maximum principle, weak maximum principle, quasilinear systems, Nonlinear parabolic equations, parabolic systems, Second-order parabolic systems, Maximum principles in context of PDEs, \(p\)-Laplacian type

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Top 10%
Average
bronze