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arXiv · 1309.7981

An inverse radiative transfer in refractive media equipped with a magnetic field

Yernat M. Assylbekov·Yang Yang
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Abstract

We study the reconstruction of the attenuation and absorption coefficients in a stationary linear transport equation from knowledge of albedo operator in dimension $n\geq 3$ on a Riemannian manifold in the presence of a magnetic field. We show the direct boundary value problem is well posed under two types of subcritical conditions. We obtain uniqueness and non-uniqueness results of the reconstruction under some restrictions. Finally, stability estimates are also established.

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Yernat M. Assylbekov, Yang Yang. 2013-09-30. An inverse radiative transfer in refractive media equipped with a magnetic field. https://arxiv.org/abs/1309.7981

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