Author： Antonio Acosta Hugo Leiva
Publisher： Taylor & Francis Ltd
ISSN： 0003-6811
Source： Applicable Analysis, Vol.83, Iss.7, 2004-07, pp. : 699-709
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Abstract
In this article we study the existence of exponentially-bounded solutions of the following non-linear system of parabolic equations with homogeneous Neumann boundary conditions where is a diagonal matrix with and 
is a bounded domain in . Under some conditions we prove the existence of a continuous manifold such that any solution with initial condition in this manifold is exponentially bounded.
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