Supersolutions and stabilization of the solution of a nonlinear parabolic system

Abstract

Let us consider a nonlinear parabolic system of the following type: [la fórmula corresponent es troba al document] with Dirichlet boundary conditions and initial data. In this paper, we construct sub-supersolutions of (S), and by use of them, we prove that, for tn→ +∞, the solution of (S) converges to some solution of the elliptic system associated with (S).