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Article type: Research Article
Authors: Qin, Yuminga; * | Cai, Qitaob
Affiliations: [a] Department of Mathematics, Institute for Nonlinear Sciences, Donghua University, Shanghai 201620, P. R. China | [b] Department of Mathematics, Donghua University, Shanghai 201620, P. R. China
Correspondence: [*] Corresponding author. E-mails: [email protected], [email protected].
Abstract: In this paper, we mainly study the upper semicontinuity of pullback D-attractors for a nonclassical diffusion equation with delay term b(t,ut) 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,ut), using the asymptotic a priori estimate method, we prove the upper semicontinuity of pullback D-attractor {Aε(t)}t∈R to equation (1.1) with ε∈[0,1].
Keywords: Nonclassical diffusion equations, upper semicontinuity, pullback attractors, delay
DOI: 10.3233/ASY-221782
Journal: Asymptotic Analysis, vol. 131, no. 2, pp. 273-296, 2023
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