Contents

Doklady Mathematics

Vol. 109, No. 2, 2024

MATHEMATICS

On Reconstruction of Kolmogorov Operators with Discontinuous Coefficients

Corresponding Member of the RAS V. I. Bogachev, and S. V. Shaposhnikov p. 103  abstract

Exact Estimates of Functions in Sobolev Spaces with Uniform Norm

D. D. Kazimirov, and I. A. Sheipak p. 107  abstract

On Undecidability of Subset Theories of Some Unars

B. N. Karlov p. 112  abstract

Induced Forests and Trees in Erdős–Rényi Random Graph

M. B. Akhmejanova, and V. S. Kozhevnikov p. 117  abstract

Generalized Solution of a Mixed Problem for the Wave Equation with a Nonsmooth Right-Hand Side

I. S. Lomov p. 121  abstract

On Kernels of Invariant Schrödinger Operators with Point Interactions. Grinevich–Novikov Conjecture

M. M. Malamud, and V. V. Marchenko p. 125  abstract

A Joint Logic of Problems and Propositions

S. A. Melikhov p. 130  abstract

Description of Turbulent Flows Using a Kinetic Model

Academician of the RAS B. N. Chetverushkin, A. E. Lutsky, and E. V. Shilnikov p. 140  abstract

Continued Fractions in Hyperelliptic Fields with an Arbitrarily Long Period

Academician of the RAS V. P. Platonov, and G. V. Fedorov p. 147  abstract

Invariants of Seventh-Order Homogeneous Dynamical Systems with Dissipation

M. V. Shamolin p. 152  abstract

On an Extremal Problem for Compactly Supported Positive Definite Functions

A. D. Manov p. 161  abstract

On an Invariant of Pure Braids

V. O. Manturov, and I. M. Nikonov p. 164  abstract

Maximum Induced Trees in Sparse Random Graphs

J. C. Buitrago Oropeza p. 167  abstract

On the Boyarsky–Meyers Estimate for the Gradient of the Solution to the Dirichlet Problem for a Second-Order Linear Elliptic Equation with Drift: The Case of Critical Sobolev Exponent

Yu. A. Alkhutov, and A. G. Chechkina p. 170  abstract

Inversion Problem for Radon Transforms Defined on Pseudoconvex Sets

D. S. Anikonov, and D. S. Konovalova p. 175  abstract

Multi-vortices and Lower Bounds for the Attractor Dimension of 2D Navier–Stokes Equations

A. G. Kostianko, A. A. Ilyin, D. Stone, and S. V. Zelik p. 179  abstract

COMPUTER SCIENCE

Machine Learning to Control Network Powered by Computing Infrastructure

Corresponding Member of the RAS R. L. Smeliansky, and E. P. Stepanov p. 183  abstract