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A comparison principle for nonlinear heat Rockland operators on graded groups

Authors
  • Ruzhansky, Michael
  • Suragan, Durvudkhan
Type
Preprint
Publication Date
May 17, 2018
Submission Date
May 17, 2018
Identifiers
DOI: 10.1112/blms.12178
Source
arXiv
License
Yellow
External links

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 $t$-boundedness of solutions for a class of nonlinear equations for the heat $p$-sub-Laplacian on stratified groups.

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