Description

• Title:
  Dynamics of non-autonomous reaction-diffusion equations in locally uniform spaces
• Creator:
  Yue, Gaocheng;
  Zhong, Chengkui
• Description:
  In this paper, we first prove the well-posedness for thenon-autonomous reaction-diffusion equations on the entire space $\R^N$ in thesetting of locally uniform spaces with singular initial data. Thenwe study the asymptotic behavior of solutions of such equation andshow the existence of$(H^1,q_U(\R^N),H^1,q_\phi(\R^N))$-uniform(w.r.t.$g\in\mcH_L^q_U(\R^N)(g_0)$) attractor$\mcA_\mcH_L^q_U(\R^N)(g_0)$ with locally uniform externalforces being translation uniform bounded but not translation compactin $L_b^p(\R;L^q_U(\R^N))$. We also obtain the uniform attracting propertyin the stronger topology.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Date:
  2015.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 46, No 2 (December 2015); 935 - 966;
  1230-3429
• Format:
  application/pdf
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.073/7270 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2015.073/7307
• Subject:
  Reaction-diffusion equations;
  uniform attractors;
  locally uniform spaces;
  rimary;
  35K57;
  35B40;
  Secondary;
  35B41
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.073
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other