Wednesday, March 20, 2013

1303.4377 (Lars Andersson et al.)

Hertz potentials and asymptotic properties of massless fields    [PDF]

Lars Andersson, Thomas Bäckdahl, Jérémie Joudioux
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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