Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8959526 | Journal of Mathematical Analysis and Applications | 2018 | 25 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
József Csóka, István Faragó, Róbert Horváth, János Karátson, Sergey Korotov,