Geodesic
Existence of global solutions for a system of reaction-diffusion equations having a triangular matrix
Electronic Journal of Differential Equations, Tome 2008 (2008).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     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},
     publisher = {mathdoc},
     volume = {2008},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a91/}
}
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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/