Ben-Artzi, Jonathan  ORCID: https://orcid.org/0000-0001-6184-9313, Cacciafesta, Federico, de Suzzoni, Anne-Sophie and Zhang, Junyong
2022.
Global Strichartz estimates for the Dirac equation on symmetric spaces.
Forum of Mathematics, Sigma
10
, e25.
10.1017/fms.2022.17
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License URL: http://creativecommons.org/licenses/by/4.0/
License Start date: 12 March 2022
Official URL: https://doi.org/10.1017/fms.2022.17
Abstract
In this paper we study global-in-time, weighted Strichartz estimates for the Dirac equation on warped product spaces in dimension n≥3. In particular, we prove estimates for the dynamics restricted to eigenspaces of the Dirac operator on the compact spin manifolds defining the ambient manifold under some explicit sufficient condition on the metric, and estimates with loss of angular derivatives for general initial data in the setting of spherically symmetric and asymptotically flat manifolds.
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Additional Information: | This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/) |
| Publisher: | Cambridge University Press |
| Funders: | EPSRC |
| Date of First Compliant Deposit: | 31 March 2022 |
| Date of Acceptance: | 31 March 2022 |
| Last Modified: | 22 May 2023 21:49 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/149008 |
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