Description

• Title:
  On decay and blow-up of solutions for a singular nonlocal viscoelastic problem with a nonlinear source term
• Creator:
  Liu, Wenjun;
  Sun, Yun;
  Li, Gang
• Description:
  We consider a singular nonlocal viscoelastic problem with a nonlinear source term and a possible damping term. We prove that if the initial data enter into the stable set, the solution exists globally and decays to zero with a more general rate, and if the initial data enter into the unstable set, the solution with nonpositive initial energy as well as positive initial energy blows up in finite time. These are achieved by using the potential well theory, the modified convexity method and the perturbed energy method.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.10.27
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 49, No 1 (March 2017); 299 - 323;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.077/10303 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.077/10304
• Subject:
  Singular nonlocal viscoelastic problem;
  general decay;
  blow-up;
  potential well theory;
  Primary;
  35B44;
  35B35;
  Secondary;
  35L20;
  35L81
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.077
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other