Instability of the linearized problem in multiwave tomography of recovery both the source and the speed
Analysis of PDEs
2012-11-28 v1
Abstract
In this paper we consider the linearized problem of recovering both the sound speed and the thermal absorption arising in thermoacoustic and photoacoustic tomography. We show that the problem is unstable in any scale of Sobolev spaces.
Keywords
Cite
@article{arxiv.1211.6217,
title = {Instability of the linearized problem in multiwave tomography of recovery both the source and the speed},
author = {Plamen Stefanov and Gunther Uhlmann},
journal= {arXiv preprint arXiv:1211.6217},
year = {2012}
}