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

2012/11/27 by Plamen Stefanov, Günther Uhlmann, Stefanov, Plamen +1 · 1 citation
Engineering · Mathematics · #35R30 #Advanced X-ray and CT Imaging #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Photoacoustic and Ultrasonic Imaging #Thermography and Photoacoustic Techniques

paper · pdf · doi:10.48550/arxiv.1211.6217

openalex publication_date 2012/11/27 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

In this paper we consider the linearized problem of recovering both the sound\nspeed and the thermal absorption arising in thermoacoustic and photoacoustic\ntomography. We show that the problem is unstable in any scale of Sobolev\nspaces.\n

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