V. Sharafutdinov

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20242026

most citedNormal operators for momentum ray transforms, I: The inversion formula

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

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math.DG2026

Numerical solution of the two-dimensional Calderón problem based on the Hilbert transform of a planar domain

Sagar Gohri, Vladimir Sharafutdinov

Let $(M, g)$ be a $C^{\infty}$ smooth compact connected Riemannian manifold with boundary $\partial M$ . Consider the Dirichlet problem: $Δ_{g} u = 0, u ∣_{\partial M} = f$ for $f\in C^{\in…

math.DG2026

Numerical solution of the two-dimensional Calderon problem for domains close to a disk

Vladimir A. Sharafutdinov, Konstantin V. Storozhuk

For a compact Riemannian surface $(M, g)$ with non-empty boundary $Γ$ , the Dirichlet-to-Neumann operator (DtN-map) $Λ_{g} : C^{\infty} (Γ) \to C^{\infty} (Γ)$ is defined by $Λ_gf=\left.\frac{\…

math.DG2025

Two-dimensional Calderon problem and flat metrics

Vladimir A. Sharafutdinov

For a compact Riemannian manifold $(M, g)$ with boundary $\partial M$ , the Diri\-chl\-et-to-Neumann operator $Λ_{g} : C^{\infty} (\partial M) ⟶ C^{\infty} (\partial M)$ is define…