D. Korikov

activity

20202023

most citedElectric Impedance Tomography problem for surfaces with internal holes

5 citations · 7 across the 6 of their papers we have counts for

collaborators

6 papers

math.DG2023

Stability estimates in determination of non-orientable surface from its Dirichlet-to-Neumann map

Dmitrii Korikov

Let $(M, g)$ and $(M^{'}, g^{'})$ be non-orientable Riemannian surfaces with fixed boundary $Γ$ and fixed Euler characterictic $m$ , and $Λ$ and $Λ^{'}$ be their Dirichlet-to-Neumann maps, res…

math-ph2022★ 1 cited

Stability of determination of Riemann surface from its DN-map in terms of Teichmüller distance

M. I. Belishev, D. V. Korikov

As is known, the Dirichlet-to-Neumann operator $Λ$ of a Riemannian surface $(M, g)$ determines the surface up to conformal equivalence class $[(M, g)]$ . Such classes constitute the T…

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-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} $…

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…