7 papers
N-transform and factorization of the DN-map
M. I. Belishev, D. V. Korikov
Let be a smooth compact 3D Riemannian manifold with the smooth boundary , , ; \}, $Î^Ï…
On a stability of time-optimal version of the Boundary Control method
Mikhail I. Belishev
Let be a Riemannian manifold with boundary. The time-optimal version of the BC-method determines the parameters in the -neigh\-bor\-hood of from the bou…
Functional models and self-modeling property of minimal Dirac operators on the half-line
M. I. Belishev, S. A. Simonov
We prove that minimal Dirac operators on the half-line are self-modeling, which means that such an operator is determined by its arbitrary unitary copy uniquely up to a transformat…
On stability of triangular factorization of positive operators
M. I. Belishev, A. F. Vakulenko
Let be a nest and a bounded positive operator in a Hilbert space . The representation provided $V\mathscr F_s\subset\m…
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…