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A comparison principle for nonlinear heat Rockland operators on graded groups
| File | Description | Size | Format | |
|---|---|---|---|---|
 Ruzhansky_et_al-2018-Bulletin_of_the_London_Mathematical_Society.pdf | Published version | 167.15 kB | Adobe PDF | View/Open |
| Title: | A comparison principle for nonlinear heat Rockland operators on graded groups |
| Authors: | Ruzhansky, M Suragan, D |
| Item 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. |
| Issue Date: | 1-Oct-2018 |
| Date of Acceptance: | 17-May-2018 |
| URI: | http://hdl.handle.net/10044/1/60218 |
| DOI: | https://dx.doi.org/10.1112/blms.12178 |
| 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. |
| Sponsor/Funder: | The Leverhulme Trust Engineering & Physical Science Research Council (EPSRC) |
| Funder's Grant Number: | RPG-2017-151 EP/R003025/1 |
| Keywords: | 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 |
| Online Publication Date: | 2018-07-16 |
| Appears in Collections: | Pure Mathematics Faculty of Natural Sciences Mathematics |