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20242026
most citedGeometrical optics for the fractional Helmholtz equation and applications to inverse problems

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.AP2026

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…

math.AP2025

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…

math.AP2025

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…

math.AP20241 cited

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…

math.AP2024

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…