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Qualitative properties of nonlinear parabolic operators II: the case of PDE systems.
- Source :
-
Journal of Mathematical Analysis & Applications . Dec2018, Vol. 468 Issue 1, p64-86. 23p. - Publication Year :
- 2018
-
Abstract
- Abstract 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 468
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 131633458
- Full Text :
- https://doi.org/10.1016/j.jmaa.2018.07.015