Existence of Global Solutions to Reaction-Diffusion Systems via a Lyapunov Functional
Date
2001-10-23
Authors
Kouachi, Said
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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].
Description
Keywords
Reaction-diffusion systems, Global existence, Lyapunov functional
Citation
Kouachi, S. (2001). Existence of global solutions to reaction-diffusion systems via a Lyapunov functional. <i>Electronic Journal of Differential Equations, 2001</i>(68), pp. 1-10.
Rights
Attribution 4.0 International