The existence of global attractors for semilinear parabolic equation in Hk spaces

In this paper, we use the iteration technique for regularity estimates, combining with the classical existence theorem of global attractors, to derive that for any k≥0 the semilinear parabolic equation possesses a global attractor in Hk(Ω), which attracts any bounded subset of Hk(Ω) in the Hk-norm.