A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups
Analysis of PDEs
2020-05-26 v1 Mathematical Physics
Functional Analysis
math.MP
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 -boundedness of solutions of nonlinear equations for the heat -sub-Laplacian on stratified Lie groups. In particular, this paper generalises and extends previous results obtained by the first author and Suragan in [RS18].
Keywords
Cite
@article{arxiv.2005.11503,
title = {A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups},
author = {Michael Ruzhansky and Nurgissa Yessirkegenov},
journal= {arXiv preprint arXiv:2005.11503},
year = {2020}
}
Comments
14 pages