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

摘要

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