Geodesic
Existence of global solutions for a system of reaction-diffusion equations having a triangular matrix
Electronic journal of differential equations, Tome 2008 (2008)
We consider the system of reaction-diffusion equations

$\displaylines{ u_{t}-a\Delta u=\beta-f(u,v)-\alpha u,\cr v_{t}-c\Delta u-d\Delta v=g(u,v)-\sigma v. }$

Our aim is to establish the existence of global classical solutions using the method used by Melkemi, Mokrane, and Youkana [19].
Classification : 35K57, 35K45
Keywords: reaction-diffusion systems, Lyapunov functional, global solution 
@article{EJDE_2008__2008__a91,
     author = {Daddiouaissa,  El Hachemi},
     title = {Existence of global solutions for a system of reaction-diffusion equations having a triangular matrix},
     journal = {Electronic journal of differential equations},
     year = {2008},
     volume = {2008},
     zbl = {1167.35397},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a91/}
}
TY  - JOUR
AU  - Daddiouaissa,  El Hachemi
TI  - Existence of global solutions for a system of reaction-diffusion equations having a triangular matrix
JO  - Electronic journal of differential equations
PY  - 2008
VL  - 2008
UR  - http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a91/
LA  - en
ID  - EJDE_2008__2008__a91
ER  - 
%0 Journal Article
%A Daddiouaissa,  El Hachemi
%T Existence of global solutions for a system of reaction-diffusion equations having a triangular matrix
%J Electronic journal of differential equations
%D 2008
%V 2008
%U http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a91/
%G en
%F EJDE_2008__2008__a91
Daddiouaissa,  El Hachemi. Existence of global solutions for a system of reaction-diffusion equations having a triangular matrix. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a91/