Geodesic
Global Strichartz estimates for the Dirac equation on symmetric spaces
Forum of Mathematics, Sigma, Tome 10 (2022)

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In this paper, we study global-in-time, weighted Strichartz estimates for the Dirac equation on warped product spaces in dimension $n\geq 3$. 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. 
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     author = {Jonathan Ben-Artzi and Federico Cacciafesta and Anne-Sophie de Suzzoni and Junyong Zhang},
     title = {Global {Strichartz} estimates for the {Dirac} equation on symmetric spaces},
     journal = {Forum of Mathematics, Sigma},
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     doi = {10.1017/fms.2022.17},
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Jonathan Ben-Artzi; Federico Cacciafesta; Anne-Sophie de Suzzoni; Junyong Zhang. Global Strichartz estimates for the Dirac equation on symmetric spaces. Forum of Mathematics, Sigma, Tome 10 (2022). doi: 10.1017/fms.2022.17

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