Description

• Title:
  Strongly damped wave equation and its Yosida approximations
• Creator:
  Carvalho, Alexandre Nolasco;
  Bortolan, Matheus C.
• Description:
  In this work we study the continuity for the family of global attractors of the equations $u_{tt}-\Delta u-\Delta u_t-\varepsilon \Delta u_{tt}=f(u)$ at $\varepsilon=0$ when $\Omega$ is a bounded smooth domain of $\mathbb{R}^n$, with $n\geq 3$, and the nonlinearity $f$ satisfies a subcritical growth condition. Also, we obtain an uniform bound for the fractal dimension of these global attractors.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Date:
  2015.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 46, No 2 (December 2015); 563 - 602;
  1230-3429
• Format:
  application/pdf
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.059/7230 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2015.059/7231
• Subject:
  Global attractor;
  Yosida approximation;
  continuity of attractors;
  fractal dimension;
  34D45;
  37L30
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.059
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other