7 citations · 10 across the 7 of their papers we have counts for
4 papers · 2 filters
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…
On nonuniqueness for Calderon's inverse problem
Allan Greenleaf, Matti Lassas, Gunther Uhlmann
We construct anisotropic conductivities with the same Dirichlet-to-Neumann map as a homogeneous isotropic conductivity. These conductivities are singular close to a surface inside…