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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.
