PULLBACK ATTRACTORS FOR A NON-AUTONOMOUS SEMI-LINEAR DEGENERATE PARABOLIC EQUATION

ANH, CUNG THE ; BAO, TANG QUOC

Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 537-554

Résumé

In this paper, using the asymptotic a priori estimate method, we prove the existence of pullback attractors for a non-autonomous semi-linear degenerate parabolic equation in an arbitrary domain, without restriction on the growth order of the polynomial type non-linearity and with a suitable exponential growth of the external force. The obtained results improve some recent ones for the non-autonomous reaction–diffusion equations.

Détail

DOI : 10.1017/S0017089510000418

Mots-clés : 35B41, 35K65, 35D05

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