Geodesic
Existence of global solutions for a Gierer-Meinhardt system with three equations
Electronic Journal of Differential Equations, Tome 2012 (2012).

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

Summary: 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},
     publisher = {mathdoc},
     volume = {2012},
     year = {2012},
     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/