28 citations · 93 across the 40 of their papers we have counts for
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Unified approach to classical equations of inverse problem theory
M. I. Belishev, V. S. Mikhaylov
The boundary control (BC-) method is an approach to inverse problems based upon their deep relations to control and system theory. We show that the classical integral equations of…
On an inverse problem in photoacoustic
M. I. Belishev, D. Langemann, A. S. Mikhaylov +1
We consider the problem of reconstruction of the Cauchy data for the wave equation in and by the measurements of its solution on the boundary of the u…
Inverse problem for one-dimensional dynamical Dirac system (BC-method)
Mikhail Belishev, Victor Mikhailov
A forward problem for the Dirac system is to find obeying $iu_t+\begin{pmatrix}0&1\\-1&0\end{pmatrix}u_x+\begin{pmatrix}p&q\\q&-p…
Three-dimensional inverse acoustic scattering problem by the BC-method
M. I. Belishev, A. F. Vakulenko
Let , . The {\it forward} acoustic scattering problem under consideration is to find satisfying \begin{align} \label{Eq 01…
On characterization of Dirichlet-to-Neumann map of Riemannian surface with boundary
M. I. Belishev, D. V. Korikov
Let be a smooth compact orientable two-dimensional Riemannian manifold ({\it surface}) with a smooth metric tensor and smooth connected boundary . Its {\it DN-map} $…
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 &&…