Department of Mathematics and Informatics
Tebessa University 12002, Algeria
email: brebiai@gmail.com
Belgacem Rebiai
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 7, 2011.
Math Subject Classifications: 35K45, 35K57.
Key Words: Reaction-diffusion systems; Lyapunov functional;
global solution.
Show me the PDF file (206 KB), TEX file, and other files for this article.
|
Belgacem Rebiai Department of Mathematics and Informatics Tebessa University 12002, Algeria email: brebiai@gmail.com |
|---|
Return to the EJDE web page