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

2020/05/23 by Ruzhansky, Michael, Yessirkegenov, Nurgissa · 1 citation
#22E30 #35G20 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2005.11503

Abstract

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. In particular, this paper generalises and extends previous results obtained by the first author and Suragan in [RS18].

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