A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups

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 stratif...

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Veröffentlicht in:	Nonlinear analysis 2022-02, Vol.215, p.112621, Article 112621
Hauptverfasser:	Ruzhansky, Michael, Yessirkegenov, Nurgissa
Format:	Artikel
Sprache:	eng
Schlagworte:	[formula omitted]-sub-Laplacian Blow-up Comparison principle Global solution Graded Lie group Nonlinear hypoelliptic heat equation Rockland operator Stratified Lie group
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Zusammenfassung:	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.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2021.112621