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math.AP2025
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…
math.AP2025
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…
math.AP2025
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…