A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.215, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 215
- Basım Tarihi: 2022
- Doi Numarası: 10.1016/j.na.2021.112621
- Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Anahtar Kelimeler: Nonlinear hypoelliptic heat equation, Rockland operator, p-sub-Laplacian, Comparison principle, Graded Lie group, Stratified Lie group, Global solution, Blow-up, SPACES
- Süleyman Demirel Üniversitesi Adresli: Hayır
Özet
In this paper we present a comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups. Moreover, using the comparison principle we obtain blow-up type results and global in t-boundedness of solutions of nonlinear equations for the heat p-sub-Laplacian on stratified Lie groups. (C) 2021 The Author(s). Published by Elsevier Ltd.