Description

• Title:
  Localized singularities and the Conley index
• Creator:
  Carbinatto, Maria C.;
  Rybakowski, Krzysztof P.
• Description:
  We establish some abstract convergence and Conley index continuation principles for families of singularly perturbed semilinear parabolic equations and apply them to reaction-diffusion equations with nonlinear boundary conditions and localized large diffusion. This extends and refines previous results of [A. Rodriguez-Bernal, < i> Localized spatial homogenization and large diffusion< /i> , SIAM J. Math. Anal. < b> 29< /b> (1998), 1361-1380] and [J.M. Arrieta, A.N. Carvalho and A. Rodr\'{\i}guez-Bernal, < i> Parabolic problems with nonlinear boundary conditions and critical nonlinearities< /i> , J. Differential Equations < b> 156< /b> (1999), 376-406].
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2011.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 37, No 1 (March 2011); 1 - 35;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2011.001/8391
• Subject:
  Conley index;
  homology index braids;
  localized large diffusion;
  singular perturbations;
  Primary 37B30;
  35B25;
  Secondary 35B40
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2011.001
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other