Description

• Title:
  Global well-posedness and attractor for damped wave equation with sup-cubic nonlinearity and lower regular forcing on $\mathbb{R}^3$
• Creator:
  Liu, Cuncai;
  Meng, Fengjuan
• Description:
  The dissipative wave equation with sup-cubic nonlinearity and lower regular forcing term which belongs to $H^{-1}({\mathbb{R}^3})$ in the whole space $\mathbb{R}^3$ is considered. Well-posedness of a translational regular solution is achieved by establishing extra space-time translational regularity of an energy solution. Furthermore, a global attractor in the naturally defined energy space $H^1(\mathbb{R}^3)\times L^2(\mathbb{R}^3)$ is built.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Topological Methods in Nonlinear Analysis
• Date:
  2017.01.02
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 49, No 2 (June 2017); 551 - 563;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.088/10724 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.088/10725
• Subject:
  Global attractor;
  damped wave equation;
  unbounded domain;
  lower regularity;
  Strichartz estimate;
  Primary;
  35L05;
  37L30;
  Secondary;
  35B40;
  35B41
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.088
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other