Description

• Title:
  Resolvent convergence for Laplace operators on unbounded curved squeezed domains
• Creator:
  Carbinatto, Maria C.;
  Rybakowski, Krzysztof P.
• Description:
  We establish a resolvent convergence result for the Laplace operator on certain classes of unbounded curved squeezed domains $\Omega_\eps$ as $\eps\to0$. As a consequence, we obtain Trotter-Kato-type convergence results for the corresponding family of $C^0$-semigroups. This extends previous results obtained by Antoci and Prizzi in \cite{\rfa{AP}} in the flat squeezing case.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2013.04.22
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 42, No 2 (December 2013); 233 - 256;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2013.035/8337
• Subject:
  singular perturbations;
  resolvent convergence;
  Trotter-Kato-type convergence;
  Primary 35B25;
  Secondary 35B40;
  35K57
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2013.035
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other