Contents
Doklady Mathematics

Vol. 66, No. 2, 2002

English language translation of the journal is available from MAIK “Nauka / Interperiodica” (Russia).
Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 386, Nos. 1–6, 2002

Volume 66, September–October.

Mathematics

Surface Measures and Tightness of Sobolev Capacities on Poisson Space

V. I. Bogachev, O. V. Pugachev, and M. Röckner p. 157  abstract

Computation of Power Expansions of Modified Motions of a Rigid Body

A. D. Bruno and V. V. Lunev p. 161  abstract

The Weight Monte Carlo Method for Estimating Derivatives of the Solution
to the Adjoint Diffusion Equation

G. A. Mikhailov and A. V. Burmistrov p. 168  abstract

Recovery of the Singularities of a Potential in the Two-Dimensional
Fixed-Energy Scattering Problem

A. D. Chernova p. 172  abstract

Adaptive Mesh Method for a Singularly Perturbed Parabolic Equation
with a Moving Concentrated Source

G. I. Shishkin p. 175  abstract

Invariant Measures of Stochastic Gradient Systems in Riemannian Manifolds
and Gibbs Measures

V. I. Bogachev, F.-Y. Wang, and M. Röckner p. 179  abstract

Boundary Control of the Process Described by the Equation k(x)[k(x)u_x(x, t)]_x – u_tt (x, t) = 0

V. A. Il’in p. 184  abstract

Fujita-Type Theorems for Quasilinear Parabolic Inequalities
with Nonlinear Gradient

E. Mitidieri and S. I. Pohozaev p. 187  abstract

On Weak Parabolic Equations for Probability Measures

V. I. Bogachev, G. Da Prato, and M. Röckner p. 192  abstract

Nuclear Semimodules and Kernel Theorems in Idempotent Analysis:
An Algebraic Approach

G. L. Litvinov and G. B. Shpiz p. 197  abstract

An Inverse Problem of Electrodynamics

V. G. Romanov p. 200  abstract

A Method for the Approximate Solution of an Initial–Boundary Value Problem
for the Navier–Stokes Equations

Zh. Baldybek, M. Otelbaev, and Sh. Smagulov p. 206  abstract

A New Method for Estimating the Integral Norm of Exponential Sums:
Application to Quadratic Sums

S. V. Bochkarev p. 210  abstract

Positive Definite Radial Functions and Splines

V. P. Zastavnyi p. 213  abstract

Analytic Continuation of Functions from Invariant Subspaces

A. S. Krivosheev p. 217  abstract

Poincaré’s Inequality on Stratified Sets

V. V. Kulyaba and O. M. Penkin p. 220  abstract

Invariant Einstein Metrics on Three-Locally-Symmetric Spaces

A. M. Lomshakov, Yu. G. Nikonorov, and E. V. Firsov p. 224  abstract

On the Extension of Global Integrable Cases of the Euler–Poisson Equations
with Constant Propulsion in Concomitant Axes¹

S. T. Sadetov p. 228  abstract

The Geometricity Problem and Modularity of Certain Riemann–Roch Variations

V. V. Golyshev p. 231  abstract

On the Riesz Summability of Eigenfunction Expansions of Integral Operators
in the Space C[0, 1]

A. P. Gurevich and A. P. Khromov p. 237  abstract

The Influence of Viscosity on Oscillatory Phenomena in Linearized Hydrodynamics

G. V. Sandrakov p. 241  abstract

On First-Order Equations for Mappings of K-Spaces

V. I. Sobolev^† and V. M. Shcherbin p. 245  abstract

A General Direct Theorem on Approximation of Functions of Class C^r
by Algebraic Polynomials with Hermitian Interpolation

R. M. Trigub p. 247  abstract

Existence Theorems for Solutions of Two Weakly Ill-Posed Problems
in Integral Geometry

A. Kh. Begmatov p. 250  abstract

Superposition Operators in Sobolev Spaces

S. K. Vodop’yanov and A. D. Ukhlov p. 253  abstract

Near-Boundary Behavior of the Solution to the Dirichlet Problem
for an Elliptic Second-Order Equation

V. Zh. Dumanian p. 257  abstract

Approximation and Visualization of the Pareto Frontier
for Nonconvex Multicriteria Problems

A. V. Lotov, G. K. Kamenev, and V. E. Berezkin p. 260  abstract

Idealization, Singularity, and the Painlevé Paradox

Yu. I. Neimark and V. N. Smirnova p. 263  abstract

Subalgebras and Automorphisms of Polynomial Rings

U. U. Umirbaev and I. P. Shestakov p. 266  abstract

Mathematical Physics

Asymptotics of Nonlinear Dynamical Systems with a High Degree of Nonlinearity

I. V. Andrianov p. 270  abstract

Adjoint Equations, Integral Conservation Laws, and Conservative Difference Schemes
for the Equations of Dynamics of a Two-Dimensional Ideal Incompressible Liquid

V. P. Dymnikov p. 274  abstract

R-Functions and Reconstruction of Tomographic Images in Domains of Complex Shape

V. F. Kravchenko and M. A. Basarab p. 277  abstract

Control Theory

Solution of an H Control Problem by Controllers of Reduced Dimension
in the Presence of a Harmonic Disturbance

V. A. Brusin and D. Yu. Samokhin p. 282  abstract

Asymmetric Equilibrium for Game Problems

E. R. Smol’yakov p. 286  abstract

Uncontrollability Sets of Linear Systems Depending on Parameters

A. A. Mailybaev p. 290  abstract

Informatics

Application of the Bolzano Function to the Theory of Fractal Antennas

V. F. Kravchenko p. 294  abstract

Identification of Nonlinear Systems Based on a Structural-Parametric Synthesis
of Neural RBF-Networks

V. V. Kondrat’ev and V. R. Milov p. 301  abstract

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