当前位置: X-MOL 学术Bound. Value Probl. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Upper semicontinuity of pullback attractors for a nonautonomous damped wave equation
Boundary Value Problems ( IF 1.0 ) Pub Date : 2021-06-10 , DOI: 10.1186/s13661-021-01532-7
Yonghai Wang , Minhui Hu , Yuming Qin

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 $\varepsilon _{0}\in [0,1]$ 。
更新日期:2021-06-11
down
wechat
bug