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

中文翻译：

---

非自治阻尼波动方程的回拉吸引子的上半连续性

在本文中，我们研究了强阻尼波动方程的回拉吸引子的局部均匀上半连续性。特别是，在一些适当的假设下，我们证明了方程的回调吸引子 $\{A_{\varepsilon }(t)\}_{t\in \mathbb{R}}$。(1.1) 与 $\varepsilon \in [0,1]$ 满足 $\lim_{\varepsilon \to \varepsilon _{0}}\sup_{t\in [a,b]} \operatorname{dist}_{ H_{0}^{1}\times L^{2}}(A_{\varepsilon }(t),A_{ \varepsilon _{0}}(t))=0$ 对于任何 $[a,b] \subset \mathbb{R}$ 和 $\varepsilon _{0}\in [0,1]$ 。