Centre universitaire de Tebessa
departement de mathematiques
12002, Tebessa, Algerie
e-mail: kouachi.said@caramail.com
Said Kouachi
Abstract:
The purpose of this paper is to construct polynomial functionals
(according to solutions of the coupled reaction-diffusion equations)
which give Lp-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].
Submitted May 29, 2001. Published October 23, 2001.
Math Subject Classifications: 35K45, 35K57.
Key Words: Reaction-diffusion systems, global existence, Lyapunov functional.
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Said Kouachi Centre universitaire de Tebessa departement de mathematiques 12002, Tebessa, Algerie e-mail: kouachi.said@caramail.com |
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