3 citations · 7 across the 6 of their papers we have counts for
8 papers
The Born approximation in the three-dimensional Calderón problem II: Numerical reconstruction in the radial case
Juan A. Barceló, Carlos Castro, Fabricio Macià +1
In this work we illustrate a number of properties of the Born approximation in the three-dimensional Calderón inverse conductivity problem by numerical experiments. The results are…
Characterization of Sobolev spaces on the sphere
J. A. Barceló, T. Luque, S. Pérez-Esteva
We prove a characterization of the Sobolev spaces on the unit sphere , where the smoothness index is any positive real number and . This charac…
Uniqueness for the inverse fixed angle scattering problem
Juan A. Barceló, Carlos Castro, Teresa Luque +3
We present a uniqueness result in dimensions and for the inverse fixed angle scattering problem associated to the Schrödinger operator , where is a small real val…
A new convergent algorithm to approximate potentials from fixed angle scattering data
Juan A. Barceló, Carlos Castro, Teresa Luque +1
We introduce a new iterative method to recover a real compact supported potential of the Schrödinger operator from their fixed angle scattering data. The method combines a fixed po…
Hardy Uncertainty Principle and unique continuation properties of covariant Schrodinger flows
Juan Antonio Barcelo, Luca Fanelli, Susana Gutierrez +2
We prove a logarithmic convexity result for exponentially weighted -norms of solutions to electromagnetic Schrödinger equation, without needing to assume smallness of the magn…
A priori estimates for the Helmholtz equation with electromagnetic potentials in exterior domains
Juan Antonio Barceló, Luca Fanelli, Alberto Ruiz +1
We study the Helmholtz equation with electromagnetic-type perturbations, in the exterior of a domain, in dimension . We prove, by multiplier techniques in the sense of Mora…