8 citations · 38 across the 13 of their papers we have counts for
14 papers
Characterization of Dirichlet-to-Neumann maps via the Born approximation
Carlos Castro, Fabricio Macià, Cristóbal Meroño +1
The problem of identifying the set of Dirichlet-to-Neumann (DtN) maps arising from conductivities on a smooth domain, among operators acting on functions on the boundary, is a chal…
The spectrum of Dirichlet-to-Neumann maps for radial conductivities
Thierry Daudé, Fabricio Macià, Cristóbal Meroño +1
The problem of characterizing sequences of real numbers that arise as spectra of Dirichlet-to-Neumann (DtN) maps for elliptic operators has attracted considerable attention over th…
The Born approximation for the fixed energy Calderón problem
Fabricio Macià, Cristóbal Meroño, Daniel Sánchez-Mendoza
The Born approximation of a potential in the context of the Calderón inverse problem is an object that can be formally defined in terms of spectral data of the Dirichlet-to-Neumann…
Stable factorization of the Calderón problem via the Born approximation
Thierry Daudé, Fabricio Macià, Cristóbal Meroño +1
In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears…
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…
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 $…
Rotational smoothing
Pedro Caro, Cristóbal J. Meroño, Ioannis Parissis
Rotational smoothing is a phenomenon consisting in a gain of regularity by means of averaging over rotations. This phenomenon is present in operators that regularize only in certai…
The fixed angle scattering problem with a first order perturbation
Cristóbal J. Meroño, Leyter Potenciano-Machado, Mikko Salo
We study the inverse scattering problem of determining a magnetic field and electric potential from scattering measurements corresponding to finitely many plane waves. The main res…
The observational limit of wave packets with noisy measurements
Pedro Caro, Cristóbal J. Meroño
The authors consider the problem of recovering an observable from certain measurements containing random errors. The observable is given by a pseudodifferential operator while the…
Resolvent estimates for the magnetic Schrödinger operator in dimension
Cristóbal J. Meroño, Leyter Potenciano-Machado, Mikko Salo
It is well known that the resolvent of the free Schrödinger operator on weighted spaces has norm decaying like at energy . There are several works provi…
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…
Optimal estimates for the double dispersion operator in backscattering
Cristóbal J. Meroño
We obtain optimal results in the problem of recovering the singularities of a potential from backscattering data. To do this we prove new estimates for the double dispersion operat…
Fixed angle scattering: recovery of singularities and its limitations
Cristóbal J. Meroño
We prove that in dimension the main singularities of a complex potential having a certain a priori regularity are contained in the Born approximation constructe…
Recovery of the singularities of a potential from backscattering data in general dimension
Cristóbal J. Meroño
We prove that in dimension the main singularities of a complex potential having a certain a priori regularity are contained in the Born approximation construct…