Exponentially-bounded solutions of a system of parabolic equations
Antonio Acosta, Hugo Leiva · Applicable Analysis · 2004
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 Ω 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.