Recovery of singularities from a backscattering Born approximation for a biharmonic operator in 3D

Tyni, Teemu (2018-03-08)
 
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https://doi.org/10.1088/1361-6420/aaaf7f

Tyni, Teemu
IOP Publishing
08.03.2018

Tyni, T. (2018) Recovery of singularities from a backscattering Born approximation for a biharmonic operator in 3D. Inverse Problems, 34 (4), 045007. doi:10.1088/1361-6420/aaaf7f

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© 2018 IOP Publishing Ltd. This is a peer-reviewed, un-copyedited version of an article accepted for publication/published in Inverse Problems. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1361-6420/aaaf7f
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doi:https://doi.org/10.1088/1361-6420/aaaf7f
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Abstract

We consider a backscattering Born approximation for a perturbed biharmonic operator in three space dimensions. Previous results on this approach for biharmonic operator use the fact that the coefficients are real-valued to obtain the reconstruction of singularities in the coefficients. In this text we drop the assumption about real-valued coefficients and also establish the recovery of singularities for complex coefficients. The proof uses mapping properties of the Radon transform.

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