13 citations · 21 across the 9 of their papers we have counts for
9 papers
Asymptotic properties of solutions to a certain ultrahyperbolic equation
Maxim N. Demchenko
We consider a certain ultrahyperbolic equation in a Euclidean space being a generalization of Klein-Gordon-Fock equation. The behavior of solutions at points tending to infinity al…
On the equivalence of the BMO-norm of divergence-free vector fields and norm of related paracommutators
M. N. Demchenko
We establish an estimate of the BMO-norm of a divergence-free vector field in in terms of the operator norm of an associated paracommutator. The latter is essential…
On the Cauchy problem for the wave equation in a two-dimensional domain with data on the boundary
M. N. Demchenko
The subject of the paper is the Cauchy problem for the wave equation in a space-time cylinder , , with the data on the surface $\partialΩ…
Determination of a wave field in a laterally inhomogeneous medium from boundary data
M. N. Demchenko
We deal with the Cauchy problem for a perturbed wave equation in the half-plane with data given on a part of the space-time boundary. The equation in consideration describes a wave…
On the Cauchy problem for the wave equation with data on the boundary
M. N. Demchenko
We consider the Cauchy problem for the wave equation in with data given on some part of the boundary . We provide a reconstruction…
Regularization of an Ill-posed Cauchy Problem for the Wave Equation (Fourier Method)
M. N. Demchenko
An ill-posed Cauchy problem for the wave equation is considered: the solution is to be determined by the Cauchy data on some part of the time-space boundary. By means of Fourier me…
Asymptotic behavior of singular values of the acoustic observation problem
M. N. Demchenko
We consider the problem of recovering of initial data in the IBVP for the wave-type equation in the half-space by the solution restricted to the boundary. The singular value decomp…
Elements of noncommutative geometry in inverse problems on manifolds
M. I. Belishev, M. N. Demchenko
We deal with two dynamical systems associated with a Riemannian manifold with boundary. The first one is a system governed by the scalar wave equation, the second is governed by th…
C*-algebras and inverse problem of electrodynamics
M. I. Belishev, M. N. Demchenko
We consider the dynamical inverse problem for the Maxwell system on a Riemannian 3-manifold with boundary in a time-optimal set-up. Using BC-method we show that the data of the inv…