Upper semicontinuity of pullback attractors for a nonautonomous damped wave equation

Abstract In this paper, we study the local uniformly upper semicontinuity of pullback attractors for a strongly damped wave equation. particular, under some proper assumptions, prove that attractor $\{A_{\varepsilon }(t)\}_{t\in \mathbb{R}}$ { A ? ( t ) } ? R Eq. (1.1) with $\varepsilon \in [0,1]$ [ 0 , 1 ] satisfies $\lim_{\varepsilon \to \varepsilon _{0}}\sup_{t\in [a,b]} \operatorname{dist}_{H_{0}^{1}\times L^{2}}(A_{\varepsilon }(t),A_{ _{0}}(t))=0$ lim ? sup a b dist H × L 2 = any $[a,b]\subset \mathbb{R}$ ? and _{0}\in .