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- W1994680915 abstract "We study the problem of recovery both the attenuation $a$ and the source $f$ in the attenuated X-raytransform in the plane. We study the linearization as well. It turns out that there is a naturalHamiltonian flow that determines which singularities we can recover. If the perturbation $delta a$is 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 uniquenessand non-uniqueness results for both the linearized and the non-linear problem; as well as a Holderstability estimate." @default.
- W1994680915 created "2016-06-24" @default.
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- W1994680915 date "2014-01-01" @default.
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- W1994680915 title "The identification problem for the attenuated X-ray transform" @default.
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- W1994680915 doi "https://doi.org/10.1353/ajm.2014.0035" @default.
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