Existence and non-existence of global solutions for semilinear heat equations and inequalities on sub-Riemannian manifolds, and Fujita exponent on unimodular Lie groups

Ruzhansky M., Yessirkegenov N.

JOURNAL OF DIFFERENTIAL EQUATIONS, cilt.308, ss.455-473, 2022 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 308
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1016/j.jde.2021.10.058
  • Dergi Adı: JOURNAL OF DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.455-473
  • Anahtar Kelimeler: Semilinear heat equation, Differential inequality, Sub-Riemannian manifold, Unimodular Lie group, Global well-posedness, Sub-Laplacian, NONLINEAR PARABOLIC EQUATIONS, BLOW-UP, OPERATORS, SOBOLEV, KERNEL, WAVE
  • Süleyman Demirel Üniversitesi Adresli: Hayır

Özet

In this paper we study the global well-posedness of the following Cauchy problem on a sub-Riemannian manifold M: