Upper Semicontinuity of Pullback Attractors for Non-autonomous Generalized 2d Parabolic Equations
نویسندگان
چکیده
This paper is concerned with a generalized 2D parabolic equation with a nonautonomous perturbation −∆ut + α ∆ut + μ∆ u+∇ · −→ F (u) +B(u, u) = ǫg(x, t). Under some proper assumptions on the external force term g, the upper semicontinuity of pullback attractors is proved. More precisely, it is shown that the pullback attractor {Aǫ(t)}t∈R of the equation with ǫ > 0 converges to the global attractor A of the equation with ǫ = 0.
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