Geodesic
Asymptotic behaviour of the solutions of non-linear elliptic and parabolic systems in tube domains
Sbornik. Mathematics, Tome 189 (1998) no. 3, pp. 359-382 
Yu. V. Egorov; V. A. Kondrat'ev; O. A. Oleinik. Asymptotic behaviour of the solutions of non-linear elliptic and parabolic systems in tube domains. Sbornik. Mathematics, Tome 189 (1998) no. 3, pp. 359-382. http://geodesic.mathdoc.fr/item/SM_1998_189_3_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The paper is devoted to the study of the asymptotic behaviour of solutions of weakly non-linear elliptic and parabolic systems of second-order equations. In particular, the behaviour as $t\to+\infty$ of the solution of a second-order non-linear parabolic equation satisfying a Neumann boundary condition at the boundary of a bounded Lipschitz domain is studied. The proofs are based on a result on the asymptotic equivalence of two systems of ordinary differential equations.

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