M. Belishev

activity

20122021

most citedWave model of the Sturm-Liouville operator on the half-line

2 citations · 7 across the 9 of their papers we have counts for

collaborators

11 papers

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

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} $…

math-ph2020

On the EIT problem for nonorientable surfaces

M. I. Belishev, D. V. Korikov

Let $(Ω, g)$ be a smooth compact two-dimensional Riemannian manifold with boundary, $Λ_{g} : f \mapsto \partial_{ν} u ∣_{\partial Ω}$ its DN map, where $u$ obeys $Δ_{g} u = 0$ in $Ω$ and $u|_{\p…

math-ph2020

Data characterization in dynamical inverse problem for the 1d wave equation with matrix potential

Mikhail Belishev, Timur Khabibullin

The dynamical system under consideration is \begin{align*} & u_{tt}-u_{xx}+Vu=0,\qquad x>0,\,\,\,t>0;\\ & u|_{t=0}=u_t|_{t=0}=0,\,\,x\geqslant 0;\quad u|_{x=0}=f,\,\,t\geqslant 0,…

math.FA2019

The wave model of metric spaces

M. I. Belishev, S. A. Simonov

Let $Ω$ be a metric space, $A^{t}$ denote the metric neighborhood of the set $A \subset Ω$ of the radius $t$ ; $O$ be the lattice of open sets in $Ω$ with the partial order…