Uniform attractors for the non-autonomous parabolic equation with nonlinear Laplacian principal part in unbounded domain

摘要

In this paper, we are concerned with the asymptotic behavior of the solution for the non-autonomous parabolic equation with nonlinear Laplacian principal part in R n . The exis- tence of the (L 2 (R n ),L 2 (R n )) -uniform attractor, the (L 2 (R n ),L p (R n )) -uniform attractor and the (L 2 (R n ),W 1,p (R n ) ∩ L q (R n )) -uniform attractor will be proved.