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Global Strichartz estimates for the Dirac equation on symmetric spaces

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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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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