Hertz Potentials and Asymptotic Properties of Massless Fields

被引：0
作者：
Lars Andersson
Thomas Bäckdahl
Jérémie Joudioux
机构：
[1] Albert Einstein Institute,The School of Mathematics
[2] The University of Edinburgh,Fakultät für Physik
[3] Universität Wien,undefined
来源：
Communications in Mathematical Physics | 2014年 / 331卷
关键词：
Initial Data; Wave Equation; Cauchy Problem; High Spin; Minkowski Space;
D O I：
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学科分类号：
摘要：
In this paper we analyze Hertz potentials for free massless spin-s fields on the Minkowski spacetime, with data in weighted Sobolev spaces. We prove existence and pointwise estimates for the Hertz potentials using a weighted estimate for the wave equation. This is then applied to give weighted estimates for the solutions of the spin-s field equations, for arbitrary half-integer s. In particular, the peeling properties of the free massless spin-s fields are analyzed for initial data in weighted Sobolev spaces with arbitrary, non-integer weights.
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页码：755 / 803
页数：48
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