Mathematical Problems in Engineering 
Volume 2006 (2006), Article ID 47061, 15 pages
doi:10.1155/MPE/2006/47061

On the solvability of a class of reaction-diffusion systems

Abdelfatah Bouziani1 and Ilham Mounir2

 1Department of Mathematics, Larbi Ben M'hidi University Centre, Oum El Bouagui, P.O. Box 565, Oum El Bouagui 04000, Algeria
2Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, B.P. 2390, Morocco
Received 30 October 2005; Accepted 4 January 2006

Abstract

We deal with a class of parabolic reaction-diffusion systems. We use an iterative process based on results obtained for a linearized problem, then we derive some a priori estimates to establish the existence, uniqueness, and continuous dependence of the weak solution for a class of quasilinear systems.