Parametrices for the light ray transform on Minkowski spacetime

Yiran Wang

doi:10.3934/ipi.2018009

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2018, Volume 12, Issue 1: 229-237. Doi: 10.3934/ipi.2018009

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Parametrices for the light ray transform on Minkowski spacetime

Yiran Wang

Department of Mathematics, University of Washington, Box 354350, Seattle, WA 98195-4350, USA

Received: January 31, 2017

Published: January 2018

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Abstract

We consider restricted light ray transforms arising from an inverse problem of finding cosmic strings. We construct a relative left parametrix for the transform on two tensors, which recovers the space-like and some light-like singularities of the two tensor.

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Mathematics Subject Classification: Primary: 53C65; Secondary: 35S30.

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Figure 1. Illustration of complex $\mathscr{C}_0$

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