M. Belishev

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math-ph2026

N-transform and factorization of the DN-map

M. I. Belishev, D. V. Korikov

Let $(I^c ◯, g)$ be a smooth compact 3D Riemannian manifold with the smooth boundary $I^$ , $I ¨ (x) := dist (x, I^)$ , $x \in I^c ◯$ ; $I^c ◯^{I ¨} := {x \in I^c ◯ ∣ dist (x, I^) < I ¨ $ \}, $Î^Ï…

math-ph2026

On a stability of time-optimal version of the Boundary Control method

Mikhail I. Belishev

Let $I^c ◯$ be a Riemannian manifold with boundary. The time-optimal version of the BC-method determines the parameters in the $T$ -neigh\-bor\-hood $I^c ◯^{T}$ of $\partial I^c ◯$ from the bou…

math-ph2026

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…