Inverse backscattering problem for perturbations of biharmonic operator

Tyni, Teemu; Harju, Markus (2017-09-07)
 
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https://doi.org/10.1088/1361-6420/aa873e

Tyni, Teemu
Harju, Markus
IOP Publishing
07.09.2017

Teemu Tyni and Markus Harju 2017 Inverse Problems 33 105002. https://doi.org/10.1088/1361-6420/aa873e

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© 2017 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/aa873e
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doi:https://doi.org/10.1088/1361-6420/aa873e
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Abstract

We consider the inverse backscattering problem for a biharmonic operator with two lower order perturbations in two and three dimensions. The inverse Born approximation is used to recover jumps and singularities of an unknown combination of potentials. Numerical examples are given to illustrate the practical usefulness of the method.

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