Description

• Title:
  Attractors for semilinear damped wave equations on arbitrary unbounded domains
• Creator:
  Prizzi, Martino;
  Rybakowski, Krzysztof P.
• Description:
  We prove existence of global attractors for semilinear damped wave equations of the form $$ \alignat 2 \eps u_{tt}+\alpha(x) u_t+\beta(x)u- \sum_{ij}(a_{ij}(x) u_{x_j})_{x_i}&=f(x,u), &\quad &x\in \Omega,t\in[0,\infty[, \\ u(x,t)&=0,&\quad& x\in \partial \Omega,\ t\in[0,\infty[. \endalignat $$ on an unbounded domain $\Omega$, without smoothness assumptions on $\beta(\cdot)$, $a_{ij}(\cdot)$, $f(\cdot,u)$ and $\partial\Omega$, and $f(x,\cdot)$ having critical or subcritical growth.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2008.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 31, No 1 (March 2008); 49 - 82;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.004/8768
• Subject:
  Attractors;
  damped wave equations;
  unbounded domains;
  tail-estimates;
  Primary 35B41;
  Secondary 35L90;
  37L05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.004
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other