Description

• Title:
  On the critical exponents for a fractional diffusion-wave equation with a nonlinear memory term in a bounded domain
• Creator:
  Zhang, Quan-Guo
• Description:
  In this paper, we prove sharp blow-up and global existence results for a time fractional diffusion-wave equation with a nonlinear memory term in a bounded domain, where the fractional derivative in time is taken in the sense of the Caputo type. Moreover, we also give a result for nonexistence of global solutions to a wave equation with a nonlinear memory term in a bounded domain. The proof of blow-up results is based on the eigenfunction method and the asymptotic properties of solutions for an ordinary fractional differential inequality.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2024 Quan-Guo Zhang
• Date:
  2024.03.03
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 63, No 2 (June 2024); 455 - 480;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/49146/37874 ;https://apcz.umk.pl/TMNA/article/view/49146/37875
• Subject:
  Fractional diffusion-wave equation;
  blow-up;
  global existence;
  nonlinear memory;
  35R11, 35B44, 35A01
• Identifier: https://apcz.umk.pl/TMNA/article/view/49146
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other