A comparison principle for nonlinear heat Rockland operators on graded groups
Analysis of PDEs
2018-07-25 v1 Mathematical Physics
Functional Analysis
math.MP
Abstract
In this note we show a comparison principle for nonlinear heat Rockland operators on graded groups. We give a simple proof for it using purely algebraic relations. As an application of the established comparison principle we prove the global in -boundedness of solutions for a class of nonlinear equations for the heat -sub-Laplacian on stratified groups.
Keywords
Cite
@article{arxiv.1805.06967,
title = {A comparison principle for nonlinear heat Rockland operators on graded groups},
author = {Michael Ruzhansky and Durvudkhan Suragan},
journal= {arXiv preprint arXiv:1805.06967},
year = {2018}
}
Comments
to appear in Bulletin of London Mathematical Society