The aim of this study is to construct the invariant regions in which we can establish the global existence of classical solutions for reaction-diffusion systems with a general full matrix of diffusion coefficients. Our techniques are based on invariant regions and Lyapunov functional methods. The nonlinear reaction term has been supposed to be of exponential growth.
@article{5389,
title = {Global existence for a strongly coupled reaction-diffusion systems with nonlinearities of exponential growth},
journal = {Novi Sad Journal of Mathematics},
volume = {48},
year = {2018},
language = {EN},
url = {http://dml.mathdoc.fr/item/5389}
}
Belgacem, Rebiai; Said, Benachour. Global existence for a strongly coupled reaction-diffusion systems with nonlinearities of exponential growth. Novi Sad Journal of Mathematics, Tome 48 (2018) . http://gdmltest.u-ga.fr/item/5389/