Analyse mathématique de systèmes de réaction-diffusion quasi-linéaires avec données non régulières

Abstract

The work that constitutes this thesis is a contribution to the study and the mathematical analysis of reaction-diffusion systems. We are interested in the existence of weak solutions of certain classes elliptic and parabolic of reaction-diffusion systems with non regular data. This work is then composed of five independent chapters, it is preceded by a general introduction that highlights the art of the subject and the problems addressed.