28 citations · 93 across the 40 of their papers we have counts for
4 papers · 1 filter
On algebras of three-dimensional quaternionic harmonic fields
M. I. Belishev
A quaternionic field is a pair of function and vector field given on a 3d Riemannian maifold with the boundary. The field is said to be harmonic if $\nabla…
The reconstruction of sound speed in the Marmousi model by the boundary control method
I. B. Ivanov, M. I. Belishev, V. S. Semenov
We present the results on numerical testing of the Boundary Control Method in the sound speed determination for the acoustic equation on semiplane. This method for solving multidim…
On a calculus of variations problem
Mikhail I. Belishev, Aleksandr V. Ivanov
The paper is of scientific-methodical character. The classical soap film shape (minimal surface) problem is considered, the film being stretched between two parallel coaxial rings.…
On Characterization of Inverse Data in the Boundary Control Method
Mikhail Belishev, Aleksei Vakulenko
We deal with a dynamical system \begin{align*} & u_{tt}-Δu+qu=0 && {\rm in}\,\,\,Ω\times (0,T)\\ & u\big|_{t=0}=u_t\big|_{t=0}=0 && {\rm in}\,\,\,\overline Ω\\ & \partial_νu = f &&…