Geodesic
Existence of global solutions for a Gierer-Meinhardt system with three equations
Electronic journal of differential equations, Tome 2012 (2012)
This articles shows the existence of global solutions for a Gierer-Meinhardt model of three substances described by reaction-diffusion equations with fractional reactions. Our technique is based on a suitable Lyapunov functional.
Classification : 35K57, 92C15
Keywords: Gierer-Meinhardt system, Lyapunov functional, activator-inhibitor 
@article{EJDE_2012__2012__a44,
     author = {Abdelmalek,  Salem and Louafi,  Hichem and Youkana,  Amar},
     title = {Existence of global solutions for a {Gierer-Meinhardt} system with three equations},
     journal = {Electronic journal of differential equations},
     year = {2012},
     volume = {2012},
     zbl = {1237.35090},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a44/}
}
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Abdelmalek,  Salem; Louafi,  Hichem; Youkana,  Amar. Existence of global solutions for a Gierer-Meinhardt system with three equations. Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a44/