Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Identification Problem for the attenuated X-ray transform   We study the problem of recovery both the attenuation $a$ and the source $f$
in the attenuated X-ray transform in the plane. We study the linearization as
well. It turns out that there are natural Hamiltonian flow that determines
which singularities we can recover. If the perturbations $\delta a$, $\delta f$
are supported in a compact set that is non-trapping for that flow, then the
problem is well posed. Otherwise, it may not be, and least in the case of
radial $a$, $f$, it is not. We present uniqueness and non-uniqueness results
for both the linearized and the non-linear problem; as well as a H\"older
stability estimate.

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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
1
The categories of this paper are: cs