activity
20142019
most citedAn iterative approach to monochromatic phaseless inverse scattering

23 citations · 40 across the 7 of their papers we have counts for

collaborators

8 papers

math.AP2019★ 15 cited

Global uniqueness in a passive inverse problem of helioseismology

A. D. Agaltsov, T. Hohage, R. G. Novikov

We consider the inverse problem of recovering the spherically symmetric sound speed, density and attenuation in the Sun from the observations of the acoustic field randomly excited…

math.AP2018★ 23 cited

An iterative approach to monochromatic phaseless inverse scattering

Alexey Agaltsov, Thorsten Hohage, Roman Novikov

This paper is concerned with the inverse problem to recover a compactly supported Schr{ö}dinger potential given the differential scattering cross section, i.e. the modulus, but not…

math.AP2018

The imaginary part of the scattering Green function: monochromatic relations to the real part and uniqueness results for inverse problems

Alexey Agaltsov, Thorsten Hohage, Roman Novikov

For many wave propagation problems with random sources it has been demonstrated that cross correlations of wave fields are proportional to the imaginary part of the Green function…

math.OC2017

Inverse problems in models of resource distribution

Alexey Agaltsov, Evgeny Molchanov, Alexander Shananin

We continue to study the problem of modeling of substitution of production factors motivated by the need for computable mathematical models of economics that could be used as a bas…

math.AP2016

Error estimates for phaseless inverse scattering in the Born approximation at high energies

Alexey Agaltsov, Roman Novikov

We study explicit formulas for phaseless inverse scattering in the Born approximation at high energies for the Schrödinger equation with compactly supported potential in dimension…

math.AP2015

On the reconstruction of parameters of a moving fluid from the Dirichlet-to-Neumann map

Alexey Agaltsov

We consider an inverse boundary value problem for a model time-harmonic equation of acoustic tomography of moving fluid with variable current velocity, sound speed, density and abs…