6 papers · 1 filter
Density of Products of Solutions and the Linearized Calderón Problem in an Analytic Background
Leonard Busch, Tony Liimatainen, Gunther Uhlmann
We study the linearization, with respect to zeroth-order perturbations, of the local Dirichlet-to-Neumann map of a formally self-adjoint elliptic operator on a compact R…
Determination of hyperelastic parameters with non-trapping wavespeeds
Gunther Uhlmann, Jian Zhai
We consider the elastic wave equation in three-dimensional isotropic medium with up to quadratic nonlinear terms. We show that five out of the six elastic parameters can be uniquel…
The Calderón problem for near-Euclidean metrics
Gunther Uhlmann, Yiran Wang
In this article, we consider the anisotropic Calderón problem of determining the potential from boundary measurements of the time-independent Schrödinger equation on compact Rieman…
The partial data Calderón problem in dimension three
Gunther Uhlmann, Yiran Wang
We consider an inverse boundary value problem for the time-independent Schrödinger equation in dimension three. We prove that the local Dirichlet-to-Neumann map defined near a boun…
The Dirichlet-to-Neumann map on asymptotically anti-de Sitter spaces and holography
Alberto Enciso, Gunther Uhlmann, Michał Wrochna
We consider the Klein-Gordon equation on asymptotically anti-de Sitter spacetimes, and show that the forward Dirichlet-to-Neumann map (or scattering matrix) is a fractional power o…
On the anisotropic Calderón's problem
Gunther Uhlmann, Jian Zhai
We prove that the Riemannian metric on a compact manifold of dimension with smooth boundary can be uniquely determined, up to an isometry fixing the boundary, by the Diri…