TY - JOUR AU - Mei, Xinyu AU - Sun, Tao AU - Xie, Yongqin AU - Zhu, Kaixuan PY - 2022/12/10 Y2 - 2024/03/29 TI - Time-dependent global attractors for the strongly damped wave equations with lower regular forcing term JF - Topological Methods in Nonlinear Analysis JA - TMNA VL - 60 IS - 2 SE - DO - 10.12775/TMNA.2022.022 UR - https://apcz.umk.pl/TMNA/article/view/41320 SP - 653 - 672 AB - In this paper, based on a new theoretical framework oftime-dependent global attractors (Conti, Pata and Temam \cite{CPT13}),we consider the strongly damped wave equations $\varepsilon(t)u_{tt}-\Delta u_{t}-\Delta u+f(u)=g(x)$and establish the existence of attractorsin $\mathcal{H}_{t}=H_{0}^{1}(\Omega)\times L^{2}(\Omega)$and $\mathcal{V}_{t}=H_{0}^{1}(\Omega)\times H_{0}^{1}(\Omega)$, respectively. ER -