275 citations · 835 across the 25 of their papers we have counts for
4 papers · 2 filters
Global uniqueness from partial Cauchy data in two dimensions
Oleg Y. Imanuvilov, Gunther Uhlmann, Masahiro Yamamoto
We prove for a two dimensional bounded domain that the Cauchy data for the Schroedinger equation measured on an arbitrary open subset of the boundary determines uniquely the potent…
Partial Data for the Calderon Problem in Two Dimensions
Oleg Yu. Imanuvilov, Gunther Uhlmann, masahiro Yamamoto
We show in two dimensions that measuring Dirichlet data for the conductivity equation on an open subset of the boundary and, roughly speaking, Neumann data in slightly larger set t…
An inverse source problem in optical molecular imaging
Plamen Stefanov, Gunther Uhlmann
We study the direct and an inverse source problem for the radiative transfer equation arising in optical molecular imaging. We show that for generic absorption and scattering coeff…
Generalized backscattering and the Lax-Phillips transform
Richard Melrose, Gunther Uhlmann
Using the free-space translation representation (modified Radon transform) of Lax and Phillips in odd dimensions, it is shown that the generalized backscattering transform (so outg…