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arXiv · 1411.5727

Existence of Global Solutions Via Invariant Regions for a Generalized Reaction-Diffusion System with a Tri-diagonal Toeplitz Matrix of Diffusion Coefficients

Salem Abdelmalek
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Abstract

The aim of this paper is to construct invariant regions of a generalized m-component reaction-diffusion system with a tri-diagonal Toeplitz matrix of diffusion coefficients and prove the global existence of solutions using Lyapunov functional. The paper assumes nonhomogeneous boundary conditions and polynomial growth for the non-linear reaction term.

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Salem Abdelmalek. 2014-12-06. Existence of Global Solutions Via Invariant Regions for a Generalized Reaction-Diffusion System with a Tri-diagonal Toeplitz Matrix of Diffusion Coefficients. https://arxiv.org/abs/1411.5727

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