arXiv Analytics

Sign in

arXiv:1211.6217 [math.AP]AbstractReferencesReviewsResources

Instability of the linearized problem in multiwave tomography of recovery both the source and the speed

Plamen Stefanov, Gunther Uhlmann

Published 2012-11-27Version 1

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.

Categories: math.AP
Subjects: 35R30
Related articles: Most relevant | Search more
arXiv:1702.04560 [math.AP] (Published 2017-02-15)
Analysis of the Linearized Problem of Quantitative Photoacoustic Tomography
arXiv:2204.03199 [math.AP] (Published 2022-04-07)
Stability and instability of Kelvin waves
arXiv:0911.5521 [math.AP] (Published 2009-11-29, updated 2009-12-15)
On singularities and instability of reconstruction in thermoacoustic tomography

Links

Toolbox