Complex spherical waves and inverse problems in unbounded domains

Details Complex spherical waves and inverse problems in unbounded domains Complex spherical waves and inverse problems in unbounded domains

2006-07-27

arxiv.org/abs/math/0607712v1

Mathematics

Analysis of PDEs

Scientific paper

10.1088/0266-5611/22/6/023

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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