3 citations · 4 across the 3 of their papers we have counts for
Showing math.APShow all
3 papers · 1 filter
math.AP2003★ 1 cited
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…
math.AP2001
The Calderon problem for conormal potentials, I: Global uniqueness and reconstruction
Allan Greenleaf, Matti Lassas, Gunther Uhlmann
In dimensions greater than or equal to three, we establish global uniqueness and obtain reconstruction in the Calderon problem for the Schrodinger equation with certain singular po…
math.AP2000
Local uniqueness for the Dirichlet-to-Neumann map via the two-plane transform
Allan Greenleaf, Gunther Uhlmann
We consider the Dirichlet-to-Neumann map associated to the Schrödinger equation with a potential in a bounded Lipschitz domain in three or more dimensions. We show that the integra…