A MODIFIED PROOF OF PULLBACK ATTRACTORS IN A SOBOLEV SPACE FOR STOCHASTIC FITZHUGH-NAGUMO EQUATIONS

A bi-spatial pullback attractor is obtained for non-autonomous and stochastic FitzHugh-Nagumo equations when the initial space is L-2(R-n)(2) and the terminate space is H-1(R-n) x L-2(R-n). Some new techniques of positive and negative truncations are used to investigate the regularity of attractors for coupling equations and to correct the essential mistake in [T. Q. Bao, Discrete Cont. Dyn. Syst. 35(2015), 441-466]. A counterexample is given for an important lemma for H-1-attractor in several literatures included above.