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arXiv:1303.4377 [math.AP]AbstractReferencesReviewsResources

Hertz potentials and asymptotic properties of massless fields

Lars Andersson, Thomas Bäckdahl, Jérémie Joudioux

Published 2013-03-18, updated 2014-02-11Version 3

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.

Comments: Regularity assumptions corrected. Orthogonality condition eliminated
Categories: math.AP, gr-qc, math-ph, math.MP
Subjects: 35L45, 83C30, 83C60
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