Opis

• Tytuł:
  On the asymptotic behavior of strongly damped wave equations
• Creator:
  Du, Yunlong;
  Li, Xin;
  Sun, Chunyou
• Description:
  This paper is devoted to the asymptotic behavior of the semi-linear strongly damped wave equation with forcing term only belongs to $H^{-1}$. Some refined decompositions of the solution have been presented, which allow to remove the quasi-monotone condition $f'(s)> -k$. The asymptotic regularity and existence of a finite-dimensional exponential attractor are established under the usual assumptions.
• Object availability:
  Dostęp otwarty
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.04.12
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  angielski
• Source:
  Topological Methods in Nonlinear Analysis; Vol 44, No 1 (September 2014); 161 - 175;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.041/8155
• Subject:
  Asymptotic regularity;
  strongly damped wave equation;
  quasi-monotone condition;
  exponential attractor;
  35K57;
  35L05;
  35B40;
  35B41
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.041
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  poproś o pozwolenie
• Type:
  pozostałe