Affiliation:
1. Department of Mathematics, Institute for Nonlinear Sciences, Donghua University, Shanghai 201620, P. R. China
2. Department of Mathematics, Donghua University, Shanghai 201620, P. R. China
Abstract
In this paper, we mainly study the upper semicontinuity of pullback D-attractors for a nonclassical diffusion equation with delay term b ( t , u t ) which contains some hereditary characteristics. Under a critical nonlinearity f, a time-dependent force g ( t , x ) with exponential growth and a delayed force term b ( t , u t ), using the asymptotic a priori estimate method, we prove the upper semicontinuity of pullback D-attractor { A ε ( t ) } t ∈ R to equation (1.1) with ε ∈ [ 0 , 1 ].
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