Complex spherical waves and inverse problems in unbounded domains
Analysis of PDEs
2009-11-11 v1
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.
Cite
@article{arxiv.math/0607712,
title = {Complex spherical waves and inverse problems in unbounded domains},
author = {Mikko Salo and Jenn-Nan Wang},
journal= {arXiv preprint arXiv:math/0607712},
year = {2009}
}