275 citations · 835 across the 25 of their papers we have counts for
9 papers · 1 filter
Approximate quantum and acoustic cloaking
Allan Greenleaf, Yaroslav Kurylev, Matti Lassas +1
At any energy E > 0, we construct a sequence of bounded potentials , supported in an annular region in three-space, which act as approxi…
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…
Invisibility and Inverse Problems
Allan Greenleaf, Yaroslav Kurylev, Matti Lassas +1
This survey of recent developments in cloaking and transformation optics is an expanded version of the lecture by Gunther Uhlmann at the 2008 Annual Meeting of the American Mathema…
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…
Linearizing non-linear inverse problems and an application to inverse backscattering
Plamen Stefanov, Gunther Uhlmann
We propose an abstract approach to prove local uniqueness and conditional Hölder stability to non-linear inverse problems by linearization. The main condition is that, in addition…
Approximate quantum cloaking and almost trapped states
A. Greenleaf, Y. Kurylev, M. Lassas +1
We describe families of potentials which act as approximate cloaks for matter waves, i.e., for solutions of the time-independent Schrödinger equation at energy , with applicatio…