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Complex spherical waves and inverse problems in unbounded domains

Mikko Salo·Jenn-Nan Wang
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Abstract

We consider the inverse conductivity problem of identifying embedded objects in unbounded domains. The main tool is a set of special solutions to the Schroedinger equation, the complex spherical waves, which are constructed by a Carleman estimate. Using these solutions we can treat the inverse problem in the unbounded domain like in the bounded case, and it is possible to localize the boundary measurements to a finite part of the boundary.

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Mikko Salo, Jenn-Nan Wang. 2006-07-27. Complex spherical waves and inverse problems in unbounded domains. https://doi.org/10.1088/0266-5611%2F22%2F6%2F023

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