Geodesic
Existence of global solutions to reaction-diffusion systems via a Lyapunov functional
Electronic Journal of Differential Equations, Tome 2001 (2001).

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

Summary: The purpose of this paper is to construct polynomial functionals (according to solutions of the coupled reaction-diffusion equations) which give $L^{p}$-bounds for solutions. When the reaction terms are sufficiently regular, using the well known regularizing effect, we deduce the existence of global solutions. These functionals are obtained independently of work done by Malham and Xin [11].
Classification : 35K45, 35K57
Keywords: reaction-diffusion systems, global existence, Lyapunov functional 
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     author = {Kouachi, Said},
     title = {Existence of global solutions to reaction-diffusion systems via a {Lyapunov} functional},
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     volume = {2001},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a73/}
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Kouachi, Said. Existence of global solutions to reaction-diffusion systems via a Lyapunov functional. Electronic Journal of Differential Equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a73/