Romina Gaburro

activity

20082026

most citedUniqueness for the electrostatic inverse boundary value problem with piecewise constant anisotropic conductivities

36 citations · 147 across the 18 of their papers we have counts for

collaborators

21 papers

math.AP2026

Stable boundary determination of a complex anisotropic admittivity and its derivatives from a local Neumann-to-Dirichlet map

Jessica Crosse, Romina Gaburro

We study the classical anisotropic Calderón problem associated to the elliptic equation $div (σ \nabla u) = 0$ , where the complex admittivity $σ$ is of the form $σ=A(\cdot,a(\cd…

math.AP2026

The local Calderón problem and the determination at the boundary of a complex anisotropic admittivity

Jessica Crosse, Romina Gaburro

We address Calderón's problem of stably determining the anisotropic complex admittivity $σ$ in a domain $Ω \subset R^{n}$ , with $n \geq 3$ , representing a conducting medium, in…

math.AP2025

A uniqueness result in the inverse problem for the anisotropic Schrödinger type equation from local measurements

Niall Donlon, Romina Gaburro

We consider the inverse boundary value problem of the simultaneous determination of the coefficients $σ$ and $q$ of the equation $-\mbox{div}(σ\nabla u)+qu = 0$ from knowledge of t…

math.AP2024

The local complex Calderón problem. Stability in a layered medium for a special type of anisotropic admittivity

Sonia Foschiatti, Romina Gaburro, Eva Sincich

We deal with Calderón's problem in a layered anisotropic medium $Ω \subset R^{n}$ , $n \geq 3$ , with complex anisotropic admittivity $σ = γ A$ , where $A$ is a known Lipschitz matri…

math.AP2024

Singular solutions for complex second order elliptic equations and their application to time-harmonic diffuse optical tomography

Jason Curran, Romina Gaburro, Clifford Nolan

We construct singular solutions of a complex elliptic equation of second order, having an isolated singularity of any order. In particular, we extend results obtained for the real…

math.AP2023

Determining an anisotropic conductivity by boundary measurements: stability at the boundary

Giovanni Alessandrini, Romina Gaburro, Eva Sincich

We consider the inverse problem of determining, the possibly anisotropic, conductivity of a body by means of the so called local Neumann to Dirichlet map on a curved portion $Σ$ of…

math.AP2022

Stability and reconstruction of a special type of anisotropic conductivity in magneto-acoustic tomography with magnetic induction

Niall Donlon, Romina Gaburro, Shari Moskow +1

We consider the issues of stability and reconstruction of the electrical anisotropic conductivity of biological tissues in a domain $Ω \subset R^{3}$ by means of the hybrid in…

math.AP2021

Time-harmonic diffuse optical tomography: Hölder stability of the derivatives of the optical properties of a medium at the boundary

Jason Curran, Romina Gaburro, Clifford J. Nolan +1

We study the inverse problem in Optical Tomography of determining the optical properties of a medium $Ω \subset R^{n}$ , with $n \geq 3$ , under the so-called diffusion approxima…

math.AP2021★ 1 cited

Microlocal analysis of borehole seismic data

Raluca Felea, Romina Gaburro, Allan Greenleaf +1

Borehole seismic data is obtained by receivers located in a well, with sources located on the surface or in another well. Using microlocal analysis, we study possible approximate r…

math.AP2021

Stability for the Calderón's problem for a class of anisotropic conductivities via an ad-hoc misfit functional

Sonia Foschiatti, Romina Gaburro, Eva Sincich

We address the stability issue in Calderón's problem for a special class of anisotropic conductivities of the form $σ = γ A$ in a Lipschitz domain $Ω \subset R^{n}$ , $n \geq 3$ , w…

q-bio.PE2020★ 1 cited

Inversion of a SIR-based model: a critical analysis about the application to COVID-19 epidemic

Mauro Giudici, Alessandro Comunian, Romina Gaburro

Calibration of a SIR (Susceptibles-Infected-Recovered) model with official international data for the COVID-19 pandemics provides a good example of the difficulties inherent the so…

math.AP2020

Lipschitz stability at the boundary for time-harmonic diffuse optical tomography

Olga Doeva, Romina Gaburro, William R. B. Lionheart +1

We study the inverse problem in Optical Tomography of determining the optical properties of a medium $Ω \subset R^{n}$ , with $n \geq 3$ , under the so-called diffusion approxima…

physics.geo-ph2019★ 13 cited

Full Reciprocity-Gap Waveform Inversion in the frequency domain, enabling sparse-source acquisition

Florian Faucher, Giovanni Alessandrini, Hélène Barucq +3

The quantitative reconstruction of sub-surface Earth properties from the propagation of waves follows an iterative minimization of a misfit functional. In marine seismic exploratio…

math.AP2018★ 3 cited

Microlocal analysis of Doppler Synthetic Aperture Radar

Raluca Felea, Romina Gaburro, Allan Greenleaf +1

We study the existence and suppression of artifacts for a Doppler-based Synthetic Aperture Radar (DSAR) system. The idealized air- or space-borne system transmits a continuous wave…

math.AP2017

EIT in a layered anisotropic medium

Giovanni Alessandrini, Maarten V. de Hoop, Romina Gaburro +1

We consider the inverse problem in geophysics of imaging the subsurface of the Earth in cases where a region below the surface is known to be formed by strata of different material…

math.AP2017

Inverse problem for the Helmholtz equation with Cauchy data: reconstruction with conditional well-posedness driven iterative regularization

Giovanni Alessandrini, Maarten V. de Hoop, Florian Faucher +2

In this paper, we study the performance of Full Waveform Inversion (FWI) from time-harmonic Cauchy data via conditional well-posedness driven iterative regularization. The Cauchy d…

math.AP2017

Lipschitz stability for a piecewise linear Schrödinger potential from local Cauchy data

Giovanni Alessandrini, Maarten V. de Hoop, Romina Gaburro +1

We consider the inverse boundary value problem of determining the potential $q$ in the equation $Δ u + q u = 0$ in $Ω \subset R^{n}$ , from local Cauchy data. A result of global…

math.AP2016★ 36 cited

Uniqueness for the electrostatic inverse boundary value problem with piecewise constant anisotropic conductivities

Giovanni Alessandrini, Maarten V. de Hoop, Romina Gaburro

We discuss the inverse problem of determining the, possibly anisotropic, conductivity of a body $Ω \subset R^{n}$ when the so-called Neumann-to-Dirichlet map is locally give…

math.AP2015★ 29 cited

Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities

Giovanni Alessandrini, Maarten V. de Hoop, Romina Gaburro +1

We consider the electrostatic inverse boundary value problem also known as electrical impedance tomography (EIT) for the case where the conductivity is a piecewise linear function…

math.AP2014★ 29 cited

Lipschitz stability for the inverse conductivity problem for a conformal class of anisotropic conductivities

Romina Gaburro, Eva Sincich

We consider the stability issue of the inverse conductivity problem for a conformal class of anisotropic conductivities in terms of the local Dirichlet-to-Neumann map. We extend he…

math.AP2008★ 35 cited

The local Calderon problem and the determination at the boundary of the conductivity

Giovanni Alessandrini, Romina Gaburro

We discuss the inverse problem of determining the, possibly anisotropic, conductivity of a body $Ω \subset R^{n}$ when the so--called Dirichlet-to-Neumann map is locally giv…