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

Michael Ruzhansky,Nurgissa Yessirkegenov

doi:10.1016/j.na.2021.112621

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

Michael Ruzhansky, Nurgissa Yessirkegenov

Open Access

https://doi.org/10.1016/j.na.2021.112621

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Journal: Nonlinear Analysis	Publication Date: Oct 24, 2021
Citations: 7	License type: cc-by

Affiliation: Queen Mary University of London, Institute of Mathematics and Mathematical Modeling

#Graded Lie Groups #Stratified Lie Groups + Show 8 more

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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.

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