@article{6ca5ab14dd3b4801a0eab0b1fce47381,
title = "A comparison principle for nonlinear heat Rockland operators on graded groups",
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.",
author = "Michael Ruzhansky and Durvudkhan Suragan",
note = "Funding Information: Received 2 August 2017; revised 15 January 2018; published online 16 July 2018. 2010 Mathematics Subject Classification 35G20, 22E30 (primary). The authors were supported in parts by the EPSRC grant EP/R003025/1 and by the Leverhulme Grant RPG-2017-151, as well as by the MESRK grant AP05130981. No new data was collected or generated during the course of research. C 2018 London Mathematical Society. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. Publisher Copyright: {\textcopyright} 2018 London Mathematical Society",
year = "2018",
month = jan,
day = "1",
doi = "10.1112/blms.12178",
language = "English",
volume = "50",
pages = "753--758",
journal = "Bulletin of the London Mathematical Society",
issn = "0024-6093",
publisher = "Oxford University Press",
number = "5",
}