On an inverse boundary problem arising in brain imaging
Analysis of PDEs
2017-10-25 v3 Mathematical Physics
math.MP
Abstract
We consider the inverse problem of recovering both an unknown electric current and the surrounding electromagnetic parameters of a medium from boundary measurements. This inverse problem arises in brain imaging. We show that under generic conditions one can recover both the source and the electromagnetic parameters if these are piecewise constant and the current source is invariant in a fixed direction or a harmonic function.
Keywords
Cite
@article{arxiv.1702.00154,
title = {On an inverse boundary problem arising in brain imaging},
author = {Youjun Deng and Hongyu Liu and Gunther Uhlmann},
journal= {arXiv preprint arXiv:1702.00154},
year = {2017}
}
Comments
26 pages, comments are welcome