Qualitative properties of nonlinear parabolic operators II: the case of PDE systems

Autor:	Sergey Korotov, Róbert Horváth, János Karátson, István Faragó, József Csóka
Rok vydání:	2018
Předmět:	Physical reality Applied Mathematics 010102 general mathematics Scalar (mathematics) 010103 numerical & computational mathematics 01 natural sciences Nonlinear system Continuation Norm (mathematics) Parabolic problem Applied mathematics 0101 mathematics Analysis Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 468:64-86
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2018.07.015
Popis:	The solution of a parabolic problem is expected to reproduce the basic qualitative properties of the original phenomenon, such as nonnegativity/nonpositivity preservation, maximum/minimum principles and maximum norm contractivity, without which the model might lead to unrealistic quantities in conflict with physical reality. This paper presents characterizations of qualitative properties for a general class of nonlinear parabolic systems. This is a continuation of the authors' research, published in a previous paper in this journal on scalar equations. Cooperativity of the systems plays an essential role in most of the results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::adaa498b4bcd1a0e680f26b755a2a73e https://doi.org/10.1016/j.jmaa.2018.07.015 Zobrazit plný text záznamu Full Text from ScienceDirect