Existence result of global solutions for a class of generic reaction diffusion systems

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.

کلیدواژه ها:

reaction diffusion system ، global existence ، Schauder fixed point theorem