Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 99, pp. 1-8.

Title: Global classical solutions for reaction-diffusion systems
       with a triangular matrix of diffusion coefficients
       
Author: Belgacem Rebiai (Tebessa Univ., Algeria)

Abstract:
 The goal of this article is to study the existence
 of classical solutions global in time for reaction-diffusion
 systems with strong coupling in the diffusion and with
 exponential growth (or without any growth) conditions on
 the nonlinear reactive terms. This extends some similar
 results in the case of a diagonal diffusion-operator associated
 with nonlinearities preserving the positivity and the total mass
 of the solutions or for which the total mass is a priori bounded.
 
Submitted January 16, 2011. Published August 07, 2011.
Math Subject Classifications: 35K45, 35K57.
Key Words: Reaction-diffusion systems; Lyapunov functional;
           global solution.