Description

• Title:
  Lower semicontinuity of the pullback attractors of non-autonomous damped wave equations with terms concentrating on the boundary
• Creator:
  Bezerra, Flank D. M.;
  Aragão, Gleiciane S.
• Description:
  In this paper we analyze the asymptotic behavior of the pullback attractors for non-autonomous dynamical systems generated by a family of non-autonomous damped wave equations when some reaction terms are concentrated in a neighbourhood of the boundary and this neighbourhood shrinks to boundary as a parameter $\varepsilon$ goes to zero. We show the gradient-like structure of the limit pullback attractor, the existence and continuity of global hyperbolic solutions and the lower semicontinuity of the pullback attractors at $\varepsilon=0$. Finally, we obtain the continuity of the pullback attractors at $\varepsilon=0$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2020 Topological Methods in Nonlinear Analysis
• Date:
  2020.08.29
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 57, No 1 (March 2021); 173 - 199;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.118/26397 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.118/26398
• Subject:
  Wave equation;
  non-autonomous;
  concentrating terms;
  pullback attractor;
  gradient-like;
  hyperbolic solution;
  lower semicontinuity;
  35L05;
  35B40;
  35B41
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.118
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other