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

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

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.

源语言	英语
文章编号	e25
期刊	Forum of Mathematics, Sigma
卷	10
DOI	https://doi.org/10.1017/fms.2022.17
出版状态	已出版 - 12 5月 2022

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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, 文章 e25. https://doi.org/10.1017/fms.2022.17

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keywords = "Dirac equation, Spherically symmetric manifolds, Strichartz estimates",

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AU - Cacciafesta, Federico

AU - De Suzzoni, Anne Sophie

AU - Zhang, Junyong

N1 - Publisher Copyright: ©

PY - 2022/5/12

Y1 - 2022/5/12

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.

AB - 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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JO - Forum of Mathematics, Sigma

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Global Strichartz estimates for the Dirac equation on symmetric spaces

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