A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups
Ruzhansky M. Yessirkegenov N.
February 2022Elsevier Ltd
Nonlinear Analysis, Theory, Methods and Applications
2022#215
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.
Blow-up , Comparison principle , Global solution , Graded Lie group , Nonlinear hypoelliptic heat equation , p-sub-Laplacian , Rockland operator , Stratified Lie group
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Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Belgium
School of Mathematical Sciences, Queen Mary University of London, United Kingdom
Suleyman Demirel University, Kaskelen, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Kazakhstan
Department of Mathematics: Analysis
School of Mathematical Sciences
Suleyman Demirel University
Institute of Mathematics and Mathematical Modeling
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