Uniform Attractors for the Non–autonomous Parabolic Equation with Nonlinear Laplacian Principal Part in Unbounded Domain
نویسندگان
چکیده
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 existence of the (L2(Rn),L2(Rn)) -uniform attractor, the (L2(Rn),Lp(Rn)) -uniform attractor and the (L2(Rn),W 1,p(Rn)∩Lq(Rn)) -uniform attractor will be proved. Mathematics subject classification (2010): 35B40, 35B41, 35L70.
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