4 papers
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 Riem…
The linearized minimal surfaces problem
Haim Grebnev, Plamen Stefanov, Gunther Uhlmann +1
We characterize the kernel of the linearization of the minimal surface problem about the Euclidean metric in a bounded smooth domain , , with the…
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 bou…
The Dirichlet-to-Neumann map on asymptotically anti-de Sitter spaces and holography
Alberto Enciso, Gunther Uhlmann, MichaÅ 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…