Scaling and instantaneous blow up

Goldstein G. R., Goldstein J. A., KÖMBE İ., Rhandi A.

Quaestiones Mathematicae, cilt.47, sa.sup1, ss.169-177, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: sup1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2989/16073606.2023.2287834
  • Dergi Adı: Quaestiones Mathematicae
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.169-177
  • Anahtar Kelimeler: Heat equation, instantaneous blow up, inverse square potential
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

The main result is a simple proof of the Baras-Goldstein (1984) instantaneous blow up result for the heat equation with the inverse square potential. The proof relies heavily, indeed mainly, on scaling. Remarks are also given concerning the case when the underlying space ℝN is replaced by the Heisenberg group ℍN.