95 citations · 180 across the 18 of their papers we have counts for
22 papers
An inverse problem for data-driven prediction in quantum mechanics
Pedro Caro, Alberto Ruiz
Data-driven prediction in quantum mechanics consists in providing an approximative description of the motion of any particles at any given time, from data that have been previously…
Magnetic Reconnection in Magnetohydrodynamics
Pedro Caro, Gennaro Ciampa, Renato Lucà
We provide examples of periodic solutions (in both 2 and 3 dimension) of the Magnetohydrodynamics equations such that the topology of the magnetic lines changes during the evolutio…
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 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…
Scattering with critically-singular and -shell potentials
Pedro Caro, Andoni Garcia
The authors consider a scattering problem for electric potentials that have a component which is critically singular in the sense of Lebesgue spaces, and a component given by a mea…
Boundary determination of electromagnetic and Lamé parameters with corrupted data
Pedro Caro, Ru-Yu Lai, Yi-Hsuan Lin +1
We study boundary determination for an inverse problem associated to the time-harmonic Maxwell equations and another associated to the isotropic elasticity system. We identify the…
Unique determination of the electric potential in the presence of a fixed magnetic potential in the plane
Pedro Caro, Keith M. Rogers
For potentials and with compact support, we consider the Schrödinger equation $-(\nabla +iA)…
Determination of convection terms and quasi-linearities appearing in diffusion equations
Pedro Caro, Yavar Kian
We consider the highly nonlinear and ill-posed inverse problem of determining some general expression appearing in the diffusion equation $\partial_tu-Δ_x u+F(…
Correlation imaging in inverse scattering is tomography on probability distributions
Pedro Caro, Tapio Helin, Antti Kujanpää +1
Scattering from a non-smooth random field on the time domain is studied for plane waves that propagate simultaneously through the potential in variable angles. We first derive suff…
The Calderón problem with corrupted data
Pedro Caro, Andoni Garcia
We consider the inverse Calderón problem consisting of determining the conductivity inside a medium by electrical measurements on its surface. Ideally, these measurements determine…
Inverse scattering for a random potential
Pedro Caro, Tapio Helin, Matti Lassas
In this paper we consider an inverse problem for the -dimensional random Schrödinger equation . We study the scattering of plane waves in the presence of a poten…
Global uniqueness for the Calderón problem with Lipschitz conductivities
Pedro Caro, Keith Rogers
We prove uniqueness for Calderón's problem with Lipschitz conductivities in higher dimensions. Combined with the recent work of Haberman, who treated the three and four dimensional…
Stability of inverse problems in an infinite slab with partial data
Pedro Caro, Kaloyan Marinov
In this paper, we study the stability of two inverse boundary value problems in an infinite slab with partial data. These problems have been studied by Li and Uhlmann for the case…
Stability estimates for the Calderón problem with partial data
David Dos Santos Ferreira, Pedro Caro, Alberto Ruiz
This is a follow-up of a previous article where we proved local stability estimates for a potential in a Schrödinger equation on an open bounded set in dimension from the Dir…
Stability of the Calderón problem in admissible geometries
Pedro Caro, Mikko Salo
In this paper we prove log log type stability estimates for inverse boundary value problems on admissible Riemannian manifolds of dimension . The stability estimates corr…
Stability estimates for an inverse problem for the magnetic Schrödinger operator
Pedro Caro, Valter Pohjola
In this paper we prove stable determination of an inverse boundary value problem associated to a magnetic Schrödinger operator assuming that the magnetic and electric potentials ar…
Stability estimates for the Radon transform with restricted data and applications
Pedro Caro, David Dos Santos Ferreira, Alberto Ruiz
In this article, we prove a stability estimate going from the Radon transform of a function with limited angle-distance data to the norm of the function itself, under some co…
On global uniqueness for an IBVP for the time-harmonic Maxwell equations
Pedro Caro, Ting Zhou
In this paper we prove uniqueness for an inverse boundary value problem (IBVP) arising in electrodynamics. We assume that the electromagnetic properties of the medium, namely the m…
Stability of the Calderón problem for less regular conductivities
Pedro Caro, Andoni García, Juan Manuel Reyes
In these notes we prove log-type stability for the Calderón problem with conductivities in . We follow the lines of a recent work by Haberman and Tataru…
On an inverse problem in electromagnetism with local data: stability and uniqueness
Pedro Caro
In this paper we prove a stable determination of the coefficients of the time-harmonic Maxwell equations from local boundary data. The argument --due to Isakov-- requires some rest…
Stable Determination of the Electromagnetic Coefficients by Boundary Measurements
Pedro Caro
The goal of this paper is to prove a stable determination of the coefficients for the time-harmonic Maxwell equations, in a Lipschitz domain, by boundary measurements.
Inverse boundary value problem for Maxwell equations with local data
Pedro Caro, Petri Ola, Mikko Salo
We prove a uniqueness theorem for an inverse boundary value problem for the Maxwell system with boundary data assumed known only in part of the bound- ary. We assume that the inacc…