M. Belishev

activity

20102026

most citedUnified approach to classical equations of inverse problem theory

28 citations · 93 across the 40 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math-ph2021

On stability of determination of Riemann surface from its DN-map

M. I. Belishev, D. V. Korikov

Suppose that $M$ is a Riemann surface with boundary $\partial M$ , $Λ$ is its DN-map, and $E : M \to C^{n}$ % $J_{M}$ is a holomorphic immersion. Let $M^{'}$ b…

math.NA2021

Toeplitz matrices in the Boundary Control method

M. I. Belishev, N. A. Karazeeva

Solving inverse problems by dynamical variant of the BC-method is basically reduced to inverting the connecting operator $C^{T}$ of the dynamical system, for which the problem is sta…

math-ph2021★ 5 cited

Electric Impedance Tomography problem for surfaces with internal holes

A. V. Badanin, M. I. Belishev, D. V. Korikov

Let $(M, g)$ be a smooth compact Riemann surface with the multicomponent boundary $Γ = Γ_{0} \cup Γ_{1} \cup \dots \cup Γ_{m} =: Γ_{0} \cup Γ ~$ . Let $u = u^{f}$ obey $Δ u = 0$ in $M$ , $u|_{Γ_0}=f,\,\,u|_…

math.AP2021★ 1 cited

On characterization of Dirichlet-to-Neumann map of Riemannian surface with boundary

M. I. Belishev, D. V. Korikov

Let $(M, g)$ be a smooth compact orientable two-dimensional Riemannian manifold ({\it surface}) with a smooth metric tensor $g$ and smooth connected boundary $Γ$ . Its {\it DN-map} $…