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arXiv · 1211.6217

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

Plamen Stefanov·Gunther Uhlmann
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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.

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Plamen Stefanov, Gunther Uhlmann. 2012-11-27. Instability of the linearized problem in multiwave tomography of recovery both the source and the speed. https://arxiv.org/abs/1211.6217

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