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  Hertz potentials and asymptotic properties of massless fields

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-.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-EB12-0 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0023-CDE1-D
Genre: Journal Article

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1303.4377 (Preprint), 422KB
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 Creators:
Andersson, Lars1, Author              
Bäckdahl, Thomas, Author
Joudioux, Jérémie1, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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Free keywords: Mathematics, Analysis of PDEs, math.AP,General Relativity and Quantum Cosmology, gr-qc,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP,
 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.

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 Dates: 2013-03-182014
 Publication Status: Published in print
 Pages: 36 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1303.4377
DOI: 10.1007/s00220-014-2078-
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Title: Communications in Mathematical Physics
Source Genre: Journal
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Publ. Info: Heidelberg : Springer-Verlag Heidelberg
Pages: - Volume / Issue: 331 Sequence Number: - Start / End Page: 755 - 803 Identifier: ISSN: 0010-3616
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925392313