44 citations · 90 across the 11 of their papers we have counts for
12 papers
A Reduction of the Fractional Calderón Problem to the Local Calderón Problem by Means of the Caffarelli-Silvestre Extension
Giovanni Covi, Tuhin Ghosh, Angkana Rüland +1
We relate the (anisotropic) variable coefficient local and nonlocal Calderón problems by means of the Caffarelli-Silvestre extension. In particular, we prove that (partial) Dirichl…
Uniqueness for the anisotropic fractional conductivity equation
Giovanni Covi
In this paper we study an inverse problem for fractional anisotropic conductivity. Our nonlocal operator is based on the well-developed theory of nonlocal vector calculus, and diff…
Stability estimates for the inverse fractional conductivity problem
Giovanni Covi, Jesse Railo, Teemu Tyni +1
We study the stability of an inverse problem for the fractional conductivity equation on bounded smooth domains. We obtain a logarithmic stability estimate for the inverse problem…
Uniqueness in an inverse problem of fractional elasticity
Giovanni Covi, Maarten de Hoop, Mikko Salo
We study an inverse problem for fractional elasticity. In analogy to the classical problem of linear elasticity, we consider the unique recovery of the Lamé parameters associated t…
The global inverse fractional conductivity problem
Giovanni Covi, Jesse Railo, Philipp Zimmermann
We prove \emph{global} uniqueness for an inverse problem for the fractional conductivity equation on domains that are bounded in one direction. The conductivities are assumed to be…
Uniqueness for the fractional Calderón problem with quasilocal perturbations
Giovanni Covi
We study the fractional Schrödinger equation with quasilocal perturbations. These are a family of nonlocal perturbations vanishing at infinity, which include e.g. convolutions agai…
On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols
Giovanni Covi, María Ángeles García-Ferrero, Angkana Rüland
In this article we consider direct and inverse problems for -stable, elliptic nonlocal operators whose kernels are possibly only supported on cones and which satisfy the structu…
The higher order fractional Calderón problem for linear local operators: uniqueness
Giovanni Covi, Keijo Mönkkönen, Jesse Railo +1
We study an inverse problem for the fractional Schrödinger equation (FSE) with a local perturbation by a linear partial differential operator (PDO) of order smaller than the order…
On some partial data Calderón type problems with mixed boundary conditions
Giovanni Covi, Angkana Rüland
In this article we consider the simultaneous recovery of bulk and boundary potentials in (degenerate) elliptic equations modelling (degenerate) conducting media with inaccessible b…
Unique continuation property and Poincaré inequality for higher order fractional Laplacians with applications in inverse problems
Giovanni Covi, Keijo Mönkkönen, Jesse Railo
We prove a unique continuation property for the fractional Laplacian when . In addition, we study Poincaré-type inequalities for t…
An inverse problem for the fractional Schrödinger equation in a magnetic field
Giovanni Covi
This paper shows global uniqueness in an inverse problem for a fractional magnetic Schrödinger equation (FMSE): an unknown electromagnetic field in a bounded domain is uniquely det…
Inverse problems for a fractional conductivity equation
Giovanni Covi
This paper shows global uniqueness in two inverse problems for a fractional conductivity equation: an unknown conductivity in a bounded domain is uniquely determined by measurement…