Global Strichartz estimates for the Dirac equation on symmetric spaces

Jonathan Ben-Artzi; Federico Cacciafesta; Anne Sophie De Suzzoni; Junyong Zhang

doi:10.1017/fms.2022.17

Global Strichartz estimates for the Dirac equation on symmetric spaces

Jonathan Ben-Artzi, Federico Cacciafesta, Anne Sophie De Suzzoni, Junyong Zhang

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper, we study global-in-time, weighted Strichartz estimates for the Dirac equation on warped product spaces in dimension. 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.

Original language	English
Article number	e25
Journal	Forum of Mathematics, Sigma
Volume	10
DOIs	https://doi.org/10.1017/fms.2022.17
Publication status	Published - 12 May 2022

Keywords

Dirac equation
Spherically symmetric manifolds
Strichartz estimates

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Ben-Artzi, J., Cacciafesta, F., De Suzzoni, A. S., & Zhang, J. (2022). Global Strichartz estimates for the Dirac equation on symmetric spaces. Forum of Mathematics, Sigma, 10, Article e25. https://doi.org/10.1017/fms.2022.17

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N2 - In this paper, we study global-in-time, weighted Strichartz estimates for the Dirac equation on warped product spaces in dimension. 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.

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Global Strichartz estimates for the Dirac equation on symmetric spaces

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