7 citations · 10 across the 7 of their papers we have counts for
10 papers
Stable determination of generic simple metrics from the hyperbolic Dirichlet-to-Neumann map
Plamen Stefanov, Gunther Uhlmann
We prove Hölder type stability estimates near generic simple Riemannian metrics for the inverse problem of recovering such metrics from the Dirichlet-to-Neumann map associated to t…
Boundary rigidity and stability for generic simple metrics
Plamen Stefanov, Gunther Uhlmann
We study the boundary rigidity problem for compact Riemannian manifolds with boundary : is the Riemannian metric uniquely determined, up to an action of diffeomorphism f…
The Calderón problem with partial data
C. E. Kenig, J. Sjoestrand, G. Uhlmann
In this paper we improve an earlier result by Bukhgeim and Uhlmann, by showing that in dimension larger than or equal to three, the knowledge of the Cauchy data for the Schrödinger…
Fixed energy inverse problem for exponentially decreasing potentials
Gunther Uhlmann, Andras Vasy
In this paper we show that in two-body scattering the scattering matrix at a fixed energy determines real-valued exponentially decreasing potentials. This result has been proved by…
Two dimensional compact simple Riemannian manifolds are boundary distance rigid
L. Pestov, G. Uhlmann
We prove that knowing the length of geodesics joining points on the boundary of a two-dimensional, compact, simple Riemannian manifold with boundary, we can determine uniquely the…
Inverse problems in N-body scattering
Gunther Uhlmann, Andras Vasy
We survey finite energy inverse results in N-body scattering, and we also sketch the proof of the extension of our recent two-cluster to two-cluster three-body result to the many-b…