Sergei P. Ivanov

activity

20212024

collaborators

4 papers

math.OC2024

Null-controllability for the beam equation with structural damping. Part 1. Distributed control

Sergei Avdonin, Julian Edward, Sergei Ivanov

Let $Δ$ be the Dirichlet Laplacian on the interval $(0, π)$ . The null controllability properties of the equation $u_{tt} + Δ^{2} u + ρ (Δ)^{α} u_{t} = F (x, t)$ are studied. Let $T > 0$ , and assume…

math.ST2023

Fitting a manifold to data in the presence of large noise

Charles Fefferman, Sergei Ivanov, Matti Lassas +1

We assume that $M_{0}$ is a $d$ -dimensional $C^{2, 1}$ -smooth submanifold of $R^{n}$ . Let $K_{0}$ be the convex hull of $M_{0},$ and $B_{1}^{n} (0)$ be the unit ball. We assume that $ M_0 \subse…

math.CV2022

Density of zeros of the Cartwright class functions and the Helson--Szegö type condition

Sergei A. Avdonin, Sergei A. Ivanov

B.\,Ya.\,Levin has proved that zero set of a sine type function can be presented as a union of a finite number of separated sets, that is an important result in the theory of expon…

math.DG2021

Reconstruction and interpolation of manifolds II: Inverse problems with partial data for distances observations and for the heat kernel

Charles Fefferman, Sergei Ivanov, Matti Lassas +2

We consider how a closed Riemannian manifold $M$ and its metric tensor $g$ can be approximately reconstructed from local distance measurements. Moreover, we consider an inverse pro…