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arXiv · 1411.3693

Pointwise decay for the Maxwell field on black hole space-times

Jason Metcalfe·Daniel Tataru·Mihai Tohaneanu
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Abstract

In this article we study the pointwise decay properties of solutions to the Maxwell system on a class of nonstationary asymptotically flat backgrounds in three space dimensions. Under the assumption that uniform energy bounds and a weak form of local energy decay hold forward in time, we establish peeling estimates for all the components of the Maxwell tensor.

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Jason Metcalfe, Daniel Tataru, Mihai Tohaneanu. 2014-11-13. Pointwise decay for the Maxwell field on black hole space-times. https://doi.org/10.1016/j.aim.2017.05.024

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