12 citations · 21 across the 6 of their papers we have counts for
7 papers
The Born approximation in the three-dimensional Calderón problem
Juan A. Barceló, Carlos Castro, Fabricio Macià +1
Uniqueness and reconstruction in the three-dimensional Calderón inverse conductivity problem can be reduced to the study of the inverse boundary problem for Schrödinger operators $…
Mass Propagation for Electromagnetic Schrödinger Evolutions
Juan Antonio Barceló, Biagio Cassano, Luca Fanelli
We investigate the validity of gaussian lower bounds for solutions to an electromagnetic Schrödinger equation with a bounded time-dependent complex electric potential and a time-in…
Numerical approximation of the scattering amplitude in elasticity
Juan A. Barceló, Carlos Castro
We propose a numerical method to approximate the scattering amplitudes for the elasticity system with a non-constant matrix potential in dimensions and . This requires to…
The Fourier extension operator of distributions in Sobolev spaces of the sphere and the Helmholtz equation
J. A. Barceló, M. Folch-Gabayet, T. Luque +2
The purpose of this paper is to characterize all the entire solutions of the homogeneous Helmholtz equation (solutions in ) arising from the Fourier extension operato…
The Dirichlet-to-Neumann map in a disk with a one-step radial potential. An analytical and numerical study
Juan A. Barceló, Carlos Castro, Sagrario Lantarón +1
We consider the Schrödinger operator with a potential q on a disk and the map that associates to q the corresponding Dirichlet to Neumann (DtN) map. We give some numerical and anal…
Numerical approximation of the potential in the two-dimensional inverse scattering problem
Juan Antonio Barceló, Carlos Castro, Juan Manuel Reyes
We present an iterative algorithm to compute numerical approximations of the potential for the Schrödinger operator from scattering data. Four different types of scattering data ar…
The forward problem for the electromagnetic Helmholtz equation with critical singularities
Juan Antonio Barceló, Luis Vega, Miren Zubeldia
We study the forward problem of the magnetic Schrödinger operator with potentials that have a strong singularity at the origin. We obtain new resolvent estimates and give some appl…