Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Romanov, Vladimir G."'
The travel time tomography problem is a coefficient inverse problem for the eikonal equation. This problem has well known applications in seismic. The eikonal equation is considered here in the circular cylinder, where point sources run along its axi
Externí odkaz:
http://arxiv.org/abs/2409.14025
The first globally convergent numerical method for a Coefficient Inverse Problem (CIP) for the Riemannian Radiative Transfer Equation (RRTE) is constructed. This is a version of the so-called \textquotedblleft convexification" method, which has been
Externí odkaz:
http://arxiv.org/abs/2212.12593
A 3D coefficient inverse problem for a hyperbolic equation with non-overdetermined data is considered. The forward problem is the Cauchy problems with the initial condition the delta function concentrated at a single plane (i.e. the plane wave). A ce
Externí odkaz:
http://arxiv.org/abs/2203.10434
It is demonstrated in this paper that the propagation of the electric wave field in a heterogeneous medium in 3D can sometimes be governed well by a single PDE, which is derived from the Maxwell's equations. The corresponding component of the electri
Externí odkaz:
http://arxiv.org/abs/2102.02271
We use a new method to prove uniqueness theorem for a coefficient inverse scattering problem without the phase information for the 3-D Helmholtz equation. We consider the case when only the modulus of the scattered wave field is measured and the phas
Externí odkaz:
http://arxiv.org/abs/1703.01031
The inverse problem of identifying the unknown spacewise dependent source F(x) in 1D wave equation is considered. Measured data are taken in the form g(t) := u(0; t). The relationship between that problem and Ground Penetrating Radar (GRR) data inter
Externí odkaz:
http://arxiv.org/abs/1609.03555
The 3-d inverse scattering problem of the reconstruction of the unknown dielectric permittivity in the generalized Helmholtz equation is considered. The main difference with the conventional inverse scattering problems is that only the modulus of the
Externí odkaz:
http://arxiv.org/abs/1507.02756
This is a continuation of two recent publications of the authors about reconstruction procedures for 3-d phaseless inverse scattering problems. The main novelty of this paper is that the Born approximation for the case of the wave-like equation is no
Externí odkaz:
http://arxiv.org/abs/1505.01905
The inverse scattering problem of the reconstruction of the unknown potential with compact support in the 3-d Schr\"odinger equation is considered. Only the modulus of the scattering complex valued wave field is known, whereas the phase is unknown. I
Externí odkaz:
http://arxiv.org/abs/1412.8210
Publikováno v:
SIAM Journal on Applied Mathematics, 2016 Jan 01. 76(1), 178-196.
Externí odkaz:
http://www.jstor.org/stable/43895804
