4 papers
A Local-to-Global Propagation Principle for Dirichlet-to-Neumann Maps
Thierry Daudé, Alberto Enciso, Bernard Helffer +2
We establish four local-to-global propagation results for Dirichlet--to--Neumann maps. Our first two results are proved in the general setting of smooth compact Riemannian manifold…
A Sharp Regularity Threshold for Uniqueness in Riemannian Calderón-type Problems
Thierry Daudé, Alberto Enciso, Bernard Helffer +2
We prove a sharp regularity threshold for uniqueness in two anisotropic Calderón-type inverse problems in dimension . The main setting is the Riemannian Schrödinger problem…
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…
A Calderón Problem for Beltrami Fields
Alberto Enciso, Carlos Valero
On a -dimensional Riemannian manifold with boundary, we define an analogue of the Dirichlet-to-Neumann map for Beltrami fields, which are the eigenvectors of the curl operator a…