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
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
