Existence of global solutions for a system of reaction-diffusion equations having a triangular matrix

We consider the system of reaction-diffusion equations $$displaylines{ u_{t}-aDelta u=eta-f(u,v)-alpha u,cr v_{t}-cDelta u-dDelta v=g(u,v)-sigma v. }$$ Our aim is to establish the existence of global classical solutions using the method used by Melkemi, Mokrane, and Youkana [19].

Bibliographic Details
Main Author: El Hachemi Daddiouaissa
Format: Article
Language:English
Published: Texas State University 2008-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2008/141/abstr.html