Contents

Doklady Mathematics


Vol. 103, No. 2, 2021


Mathematics

Increased Integrability of the Gradient of the Solution to the Zaremba Problem for the Poisson Equation

Yu. A. Alkhutov and G. A. Chechkin p. 69  abstract

A Method of Defining Central and Gibbs Measures and the Ergodic Method

A. M. Vershik p. 72  abstract

Some Properties of Smooth Convex Functions and Newton’s Method

D. V. Denisov, Academician of the RAS Yu. G. Evtushenko and A. A. Tret’yakov p. 76  abstract

Rigidity Theorem for Self-Affine Arcs

A. V. Tetenov and O. A. Chelkanova p. 81  abstract

New Cases of Homogeneous Integrable Systems with Dissipation on Tangent Bundles of Four-Dimensional Manifolds

M. V. Shamolin p. 85  abstract


Informatics

Method for Reduced Basis Discovery in Nonstationary Problems

I. V. Timokhin, S. A. Matveev, E. E. Tyrtyshnikov and A. P. Smirnov p. 92  abstract


Computer Science

Features of the Statistical Distribution of a Quasi-Harmonic Signal Phase

T. V. Yakovleva p. 95  abstract