Thermoacoustic tomography with variable sound speed
Analysis of PDEs
2010-09-10 v2 Mathematical Physics
math.MP
Abstract
We study the mathematical model of thermoacoustic tomography in media with a variable speed for a fixed time interval, greater than the diameter of the domain. In case of measurements on the whole boundary, we give an explicit solution in terms of a Neumann series expansion. We give necessary and sufficient conditions for uniqueness and stability when the measurements are taken on a part of the boundary.
Keywords
Cite
@article{arxiv.0902.1973,
title = {Thermoacoustic tomography with variable sound speed},
author = {Plamen Stefanov and Gunther Uhlmann},
journal= {arXiv preprint arXiv:0902.1973},
year = {2010}
}