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Journal Article

Hertz potentials and asymptotic properties of massless fields

MPS-Authors
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Andersson,  Lars
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Joudioux,  Jérémie
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1303.4377
(Preprint), 422KB

CMP331_775.pdf
(Any fulltext), 542KB

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Citation

Andersson, L., Bäckdahl, T., & Joudioux, J. (2014). Hertz potentials and asymptotic properties of massless fields. Communications in Mathematical Physics, 331, 755-803. doi:10.1007/s00220-014-2078-.


Cite as: https://hdl.handle.net/11858/00-001M-0000-000E-EB12-0
Abstract
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.