Time-dependent wave equations on graded groups
| dc.contributor.author | Ruzhansky, M | |
| dc.contributor.author | Taranto, C-A | |
| dc.date.accessioned | 2021-02-19T11:49:13Z | |
| dc.date.available | 2021-02-19T11:49:13Z | |
| dc.date.issued | 2021-02 | |
| dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/70424 | |
| dc.description.abstract | In this paper we consider the wave equations for hypoelliptic homogeneous left-invariant operators on graded Lie groups with time-dependent H\"older propagation speeds. The examples are the time-dependent wave equation for the sub-Laplacian on the Heisenberg group or on general stratified Lie groups, or $p$-evolution equations for higher order operators, already in all these cases our results being new. We establish sharp well-posedness results in the spirit of the classical result by Colombini, de Giorgi and Spagnolo. In particular, we describe an interesting loss of regularity phenomenon depending on the step of the group and on the order of the considered operator. | en_US |
| dc.publisher | Springer | en_US |
| dc.rights | This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. | |
| dc.rights | Attribution 3.0 United States | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/3.0/us/ | * |
| dc.subject | math.AP | en_US |
| dc.subject | math.AP | en_US |
| dc.subject | math.GR | en_US |
| dc.subject | 35L05, 35L30, 43A70, 42A80 | en_US |
| dc.title | Time-dependent wave equations on graded groups | en_US |
| dc.type | Article | en_US |
| dc.rights.holder | © 2021, The Author(s) | |
| pubs.author-url | http://arxiv.org/abs/1705.03047v2 | en_US |
| pubs.notes | Not known | en_US |
| rioxxterms.funder | Default funder | en_US |
| rioxxterms.identifier.project | Default project | en_US |
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Mathematics [1473]
Except where otherwise noted, this item's license is described as This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
