275 citations · 954 across the 54 of their papers we have counts for
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math.AP2012★ 1 cited
Instability of the linearized problem in multiwave tomography of recovery both the source and the speed
Plamen Stefanov, Gunther Uhlmann
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…
math.DG2012★ 32 cited
The inverse problem for the local geodesic ray transform
Gunther Uhlmann, András Vasy
Under a convexity assumption on the boundary we solve a local inverse problem, namely we show that the geodesic X-ray transform can be inverted locally in a stable manner; one even…
math.AP2012★ 1 cited
Uniqueness in an inverse boundary problem for a magnetic Schrödinger operator with a bounded magnetic potential
Katsiaryna Krupchyk, Gunther Uhlmann
We show that the knowledge of the set of the Cauchy data on the boundary of a bounded open set in , , for the magnetic Schrödinger operator with magnetic a…