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Global Strichartz estimates for the Dirac equation on symmetric spaces
- Part of
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- Journal:
- Forum of Mathematics, Sigma / Volume 10 / 2022
- Published online by Cambridge University Press:
- 12 May 2022, e25
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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.
