2 citations · 5 across the 4 of their papers we have counts for
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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 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…