Existence of Global Solutions Via Invariant Regions for a Generalized Reaction-Diffusion System with a Tri-diagonal Toeplitz Matrix of Diffusion Coefficients
Analysis of PDEs
2014-12-09 v3
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.
Keywords
Cite
@article{arxiv.1411.5727,
title = {Existence of Global Solutions Via Invariant Regions for a Generalized Reaction-Diffusion System with a Tri-diagonal Toeplitz Matrix of Diffusion Coefficients},
author = {Salem Abdelmalek},
journal= {arXiv preprint arXiv:1411.5727},
year = {2014}
}
Comments
20 PAGE. arXiv admin note: substantial text overlap with arXiv:1411.2116