Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Agaltsov, Alexey"'
Autor:
Agaltsov, Alexey
La présente thèse est consacrée à l'étude de quelques problèmes inverses pour l'équation de Helmholtz jauge-covariante, dont des cas particuliers comprennent l'équation de Schrödinger pour une particule élémentaire chargée dans un champ m
Externí odkaz:
http://www.theses.fr/2016SACLX099/document
This paper is concerned with the inverse problem to recover a compactly supported Schr{\"o}dinger potential given the differential scattering cross section, i.e. the modulus, but not the phase of the scattering amplitude. To compensate for the missin
Externí odkaz:
http://arxiv.org/abs/1806.10845
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 of the underlying wave equation. This leads to the inverse problem to
Externí odkaz:
http://arxiv.org/abs/1804.03375
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 basis in applied developments. This problem has been studied for several
Externí odkaz:
http://arxiv.org/abs/1702.03576
Autor:
Agaltsov, Alexey, Novikov, Roman
We study explicit formulas for phaseless inverse scattering in the Born approximation at high energies for the Schr\"odinger equation with compactly supported potential in dimension d $\ge$ 2. We obtain error estimates for these formulas in the confi
Externí odkaz:
http://arxiv.org/abs/1604.06555
Autor:
Agaltsov, Alexey
Publikováno v:
Eurasian Journal of Mathematical and Computer Applications, Volume 4, Issue 1, 2016, 4-11
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 absorption. In the present article it is assumed that at fixed frequency
Externí odkaz:
http://arxiv.org/abs/1512.06367
Autor:
Agaltsov, Alexey
Publikováno v:
A. Agaltsov, Characterization and inversion theorems for a generalized Radon transform, Proceedings of Moscow Institute of Physics and Technology, v. 5 n. 4 (20), 2013, pp. 48-61 (in Russian)
In this paper the generalized Radon transform over level hypersurfaces of CES-functions of measures supported in positive orthant is studied. A characterization of the generalized Radon transform of nonnegative measures is found. Explicit inversion f
Externí odkaz:
http://arxiv.org/abs/1403.7931
Publikováno v:
SIAM Journal on Applied Mathematics, 2018 Jan 01. 78(5), 2865-2890.
Externí odkaz:
https://www.jstor.org/stable/45093380
Autor:
Agaltsov, Alexey, Novikov, Roman
We consider the inverse scattering problem for the two-dimensional Schrödinger equation at fixed positive energy. Our results include inverse scattering reconstructions from the simplest scattering amplitudes. In particular, we give a complete analy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______166::ef08f6a51ca8630365805c13651a0f19
https://hal.archives-ouvertes.fr/hal-01570494
https://hal.archives-ouvertes.fr/hal-01570494
Autor:
Agaltsov, Alexey, Novikov, Roman
We consider a model time-harmonic wave equation of acoustic tomography of moving fluid in an open bounded domain in $\mathbb R^d$, $d \geq 2$, with variable sound speed $c$, density $\rho$, fluid velocity $v$ and absorption coefficient $\alpha$. We g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______166::33a03701522b673a026c49e93683862f
https://hal.archives-ouvertes.fr/hal-01150129
https://hal.archives-ouvertes.fr/hal-01150129