Attractors of non-autonomous reaction–diffusion equations in Lp

Abstract In this paper, a new theorem which is proved in [S.S. Lu, H.Q. Wu, C.K. Zhong, Attractors for non-autonomous 2D Navier–Stokes equations with normal external forces, Discrete Contin. Dyn. Syst. 13 (3) (2005) 701–719] is applied to a nonlinear reaction–diffusion equation with normal forces. We obtain the existence of the uniform attractor in L p without any restriction on the growing order of the nonlinear term. The attractor attracts all bounded subsets of L p in the norm of L p .

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