Global Strichartz estimates for the Dirac equation on symmetric spaces
Global Strichartz estimates for the Dirac equation on symmetric spaces
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DOI：
10.1017/fms.2022.17
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发表时间：
2021-01
期刊：
影响因子：
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通讯作者：
Jonathan Ben-Artzi;F. Cacciafesta;Anne-Sophie de Suzzoni;Junyong Zhang
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文献类型：
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作者：
Jonathan Ben-Artzi;F. Cacciafesta;Anne-Sophie de Suzzoni;Junyong Zhang
摘要在本文中，我们研究了Dirac方程在n\geq 3$维翘曲乘积空间上的全局时间加权的Schmidt hartz估计。特别是，我们证明了估计的动力学限制在本征空间的狄拉克算子的紧自旋流形定义的周围流形在一些明确的充分条件下的度量和估计损失的角度导数一般的初始数据设置的球对称和渐近平坦的流形。
Abstract 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.