A Weak Comparison Principle for Reaction-Diffusion Systems
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-30, 30 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-11
Country of Publication
Egypt
No. of Pages
30
Main Subjects
Abstract EN
We prove a weak comparison principle for a reaction-diffusion system without uniqueness of solutions.
We apply the abstract results to the Lotka-Volterra system with diffusion, a generalized logistic equation, and to a model of fractional-order chemical autocatalysis with decay.
Moreover, in the case of the Lotka-Volterra system a weak maximum principle is given, and a suitable estimate in the space of essentially bounded functions L∞ is proved for at least one solution of the problem.
American Psychological Association (APA)
Valero, José. 2012. A Weak Comparison Principle for Reaction-Diffusion Systems. Journal of Function Spaces،Vol. 2012, no. 2012, pp.1-30.
https://search.emarefa.net/detail/BIM-994314
Modern Language Association (MLA)
Valero, José. A Weak Comparison Principle for Reaction-Diffusion Systems. Journal of Function Spaces No. 2012 (2012), pp.1-30.
https://search.emarefa.net/detail/BIM-994314
American Medical Association (AMA)
Valero, José. A Weak Comparison Principle for Reaction-Diffusion Systems. Journal of Function Spaces. 2012. Vol. 2012, no. 2012, pp.1-30.
https://search.emarefa.net/detail/BIM-994314
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-994314