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, cilt.45, sa.14, ss.8674-8700, 2022 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 14
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1002/mma.7525
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: 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
  • Sayfa Sayıları: ss.8674-8700
  • Anahtar Kelimeler: blow-up, Kirchhoff-type problem, local existence, singular parabolic equation, variable nonlinearity, ASYMPTOTIC-BEHAVIOR, EXISTENCE, UNIQUENESS, TIME
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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