Electron. J. Diff. Eqns., Vol. 2008(2008), No. 141, pp. 1-9.

Existence of global solutions for a system of reaction-diffusion equations having a triangular matrix

El Hachemi Daddiouaissa

We consider the system of reaction-diffusion equations
  u_{t}-a\Delta u=\beta-f(u,v)-\alpha u,\cr
  v_{t}-c\Delta u-d\Delta v=g(u,v)-\sigma v.
Our aim is to establish the existence of global classical solutions using the method used by Melkemi, Mokrane, and Youkana [19].

Submitted August 19, 2007. Published October 16, 2008.
Math Subject Classifications: 35K57, 35K45.
Key Words: Reaction-diffusion systems; Lyapunov functional; global solution.

Show me the PDF file (213 KB), TEX file, and other files for this article.

El Hachemi Daddiouaissa
Department of Mathematics, University Kasdi Merbah, UKM
Ouargla 30000, Algeria
email: dmhbsdj@gmail.com

Return to the EJDE web page