V. Sharafutdinov

collaborators

4 papers

math.DG2026

Numerical solution of the two-dimensional CalderÃ³n 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: $I^_{g} u = 0, u ∣_{\partial M} = f$ for $f\in C^{\i…

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 $I^$ , the Dirichlet-to-Neumann operator (DtN-map) $I^_{g} : C^{\infty} (I^) \to C^{\infty} (I^)$ is defined by $Î_gf=\left.\f…

math.AP2025

Range characterization of the ray transform on Sobolev spaces of symmetric tensor fields in two dimensions

Divyansh Agrawal, Venkateswaran P. Krishnan, Vladimir A. Sharafutdinov

The ray transform $I_{m}$ integrates a symmetric $m$ rank tensor field $f$ on $R^{n}$ over lines. In the case of $n \geq 3$ , the range characterization of the operator $I_{m}$ on w…

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 $I^_{g} : C^{\infty} (\partial M) ⟶ C^{\infty} (\partial M)$ is defin…