Description

• Title:
  Time-dependent global attractors for the strongly damped wave equations with lower regular forcing term
• Creator:
  Mei, Xinyu;
  Sun, Tao;
  Xie, Yongqin;
  Zhu, Kaixuan
• Description:
  In this paper, based on a new theoretical framework of time-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 attractors in $\mathcal{H}_{t}=H_{0}^{1}(\Omega)\times L^{2}(\Omega)$ and $\mathcal{V}_{t}=H_{0}^{1}(\Omega)\times H_{0}^{1}(\Omega)$, respectively.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2022 Xinyu Mei, Tao Sun, Yongqin Xie, Kaixuan Zhu
• Date:
  2022.12.10
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 60, No 2 (December 2022); 653 - 672;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/41320/34043 ;https://apcz.umk.pl/TMNA/article/view/41320/34044
• Subject:
  Strongly damped wave equations;
  critical exponential growth;
  time-dependent global attractors;
  Primary: 35B40, 35B41;
  Secondary: 35L05
• Identifier: https://apcz.umk.pl/TMNA/article/view/41320
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other