Description

• Title:
  Attractors for reaction-diffusion equations on arbitrary unbounded domains
• Creator:
  Prizzi, Martino;
  Rybakowski, Krzysztof P.
• Description:
  We prove existence of global attractors for parabolic equations of the form $$ \alignedat2 u_t+\beta(x)u- \sum_{ij}\partial_i(a_{ij}(x)\partial_j u)&=f(x,u),&\quad &x\in \Omega,\ t\in[0,\infty[,\\ u(x,t)&=0,&\quad &x\in \partial \Omega,\ t\in[0,\infty[. \endalignedat $$ on an arbitrary unbounded domain $\Omega$ in $\mathbb R^3$, without smoothness assumptions on $a_{ij}(\cdot)$ and $\partial\Omega$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2007.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 30, No 2 (December 2007); 251 - 277;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2007.029/8844
• Subject:
  Attractors;
  reaction-diffusion equations;
  fractional power spaces;
  tail-estimates;
  Primary 35B41;
  Secondary 35K57;
  37L05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2007.029
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other