On a class of nonlocal parabolic equations of Kirchhoff type: Nonexistence of global solutions and blow-up

SERT U., Shmarev S.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.45, no.14, pp.8674-8700, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 45 Issue: 14
  • Publication Date: 2022
  • Doi Number: 10.1002/mma.7525
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.8674-8700
  • Keywords: blow-up, Kirchhoff-type problem, local existence, singular parabolic equation, variable nonlinearity, ASYMPTOTIC-BEHAVIOR, EXISTENCE, UNIQUENESS, TIME
  • Hacettepe University Affiliated: Yes

Abstract

We study the homogeneous Dirichlet problem for the degenerate parabolic equation of the Kirchhoff type