A comparison principle for nonlinear heat Rockland operators on graded groups
File(s)
Author(s)
Ruzhansky, M
Suragan, Durvudkhan
Type
Journal Article
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.
Date Issued
2018-10-01
Date Acceptance
2018-05-17
Citation
Bulletin of the London Mathematical Society, 2018, 50 (5), pp.753-758
ISSN
0024-6093
Publisher
Wiley
Start Page
753
End Page
758
Journal / Book Title
Bulletin of the London Mathematical Society
Volume
50
Issue
5
Copyright Statement
© 2018 The Author(s). The Bulletin of the London Mathematical Society is copyright © 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.
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.
Sponsor
The Leverhulme Trust
Engineering & Physical Science Research Council (EPSRC)
Grant Number
RPG-2017-151
EP/R003025/1
Subjects
Science & Technology
Physical Sciences
Mathematics
LIE-GROUPS
SPACES
HARDY
math.AP
math.AP
math-ph
math.FA
math.MP
35G20, 22E30
0101 Pure Mathematics
General Mathematics
Publication Status
Published
Date Publish Online
2018-07-16