Title of article
Existence result of global solutions for a class of generic reaction diffusion systems
Author/Authors
Eddine Kadem, Houssem Department of Mathematics - Faculty of Science - Ferhat Abbas University - Setif, Algeria , Mesbahi, Salim Department of Mathematics - Faculty of Science - Ferhat Abbas University - Setif, Algeria , Bendaas, Saida Department of Mathematics - Faculty of Science - Ferhat Abbas University - Setif, Algeria
Pages
14
From page
663
To page
676
Abstract
In this paper we prove the existence of weak global solutions for a class of generic reaction diffusion
systems for which two main properties hold: the quasi-positivity and a triangular structure condition
on the nonlinearities. The main result is a generalization of the work already done on models of a
single reaction-diffusion equation. The model studied is applied in image recovery and contrast
enhancement. It can also be applied to many models in biology and radiology.
Keywords
reaction diffusion system , global existence , Schauder fixed point theorem
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2021
Record number
2700746
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