1 citations · 1 across the 7 of their papers we have counts for
9 papers
Inverse Scattering for Single Photons in Quantum Optics
Giovanni Covi, Matti Lassas, Medet Nursultanov +3
We study inverse problems for a time-harmonic one-photon model describing the interaction of a single photon with a medium of stationary two-level atoms. After time-harmonic reduct…
Fractional Vector Calculus and the Fractional Maxwell's Equations
Giovanni Covi, Ruirui Wu
We consider a fractional variant of Maxwell's equations, where the electric and magnetic fields are modeled as two-point fields. To formulate the system, we introduce a fractional…
Propagation of singularities and inverse problems for the viscoacoustic wave equation
Giovanni Covi, Maarten de Hoop, Mikko Salo
We study an inverse problem for the viscoacoustic wave equation, an integro-differential model describing wave propagation in viscoacoustic media with memory in the leading order t…
The higher-order fractional Schrödinger equation with nonlinear local perturbations: Uniqueness
Giovanni Covi, Ru-Yu Lai, Lili Yan
We study the higher-order fractional Schrödinger equation with local nonlinear perturbations and investigate both the forward and inverse problems. We establish both the Sobolev $H…
Partial data stability for the inverse fractional conductivity problem
Giovanni Covi, Antti Kujanpää, Jesse Railo
The classical Calderón problem with partial data is known to be log-log stable in some special cases, but even the uniqueness problem is open in general. We study the partial data…
Geometrical optics for the fractional Helmholtz equation and applications to inverse problems
Giovanni Covi, Maarten de Hoop, Mikko Salo
In this paper we construct a parametrix for the fractional Helmholtz equation making use of geometrical optics solutions. We show that the a…
The inverse problem for the fractional conductivity equation: a survey
Giovanni Covi
The fractional Calderón problem asks to determine the unknown coefficients in a nonlocal, elliptic equation of fractional order from exterior measurements of its solutions. There h…
An inverse problem for fractional random walks on finite graphs
Giovanni Covi, Matti Lassas
We study an inverse problem on a finite connected graph G = (X, E), on whose vertices a conductivity γ is defined. Our data consists in a sequence of partial observations of a frac…
On Instability Properties of the Fractional Calderón Problem
Hendrik Baers, Giovanni Covi, Angkana Rüland
We prove exponential instability properties for the fractional Calderón problem and the conductivity formulation of the fractional Calderón problem in the regime of fractional powe…