45 citations · 92 across the 9 of their papers we have counts for
10 papers
The continuity properties of the solutions of the wave equation at different boundary conditions across the characteristic line
Alemdar Hasanov, Vladimir G. Romanov
It is well-known the continuity properties of solutions to the wave equation depend strongly on both the initial data and the boundary conditions, particularly across the character…
Convexification Numerical Method for a Coefficient Inverse Problem for the Riemannian Radiative Transfer Equation
Michael V. Klibanov, Jingzhi Li, Loc H. Nguyen +2
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 th…
A Hölder Stability Estimate for a 3D Coefficient Inverse Problem for a Hyperbolic Equation With a Plane Wave
Michael V. Klibanov, Vladimir G. Romanov
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 del…
Can a single PDE govern well the propagation of the electric wave field in a heterogeneous medium in 3D?
Vladimir G. Romanov, Michael V. Klibanov
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 fr…
Phaseless inverse problems with interference waves
V. G. Romanov, M. Yamamoto
We consider two phaseless inverse problems for elliptic equation. The statements of these problems differ from have considered. Namely, instead of given information about modulus o…
Uniqueness of a 3-D coefficient inverse scattering problem without the phase information
Michael V. Klibanov, Vladimir G. Romanov
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…
Inverse source problem for wave equation and GPR data interpretation problem
Balgaisha Mukanova, Vladimir G. Romanov
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 relations…
Two reconstruction procedures for a 3-d phaseless inverse scattering problem for the generalized Helmholtz equation
Michael V. Klibanov, Vladimir G. Romanov
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 co…
Reconstruction procedures for two inverse scattering problems without the phase information
Michael V. Klibanov, Vladimir G. Romanov
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 th…
Reconstruction formula for a 3-d phaseless inverse scattering problem for the Schrodinger equation
Michael V. Klibanov, Vladimir G. Romanov
The inverse scattering problem of the reconstruction of the unknown potential with compact support in the 3-d Schrödinger equation is considered. Only the modulus of the scattering…