-Differentiability of Mappings from Sobolev Classes on Carnot Groups
Contents
Doklady Mathematics
Vol. 65, No. 1, 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 382, Nos. 1–6, 2002
Volume 65, January–February.
Mathematics
Homogenization of Nonlinear Elasticity Problems on Singular Periodic Structures
S. E. Pastukhova p. 1 abstract
A Formula for the First Regularized Trace of the Laplace–Beltrami Operator
with Nonsmooth Potential on the Two-Dimensional Sphere
V. A. Sadovnichii, V. V. Dubrovskii, and O. A. Poretskov p. 5 abstract
Minimax Nonlinear Filtering for Multistage Processes
with Uncertain Distributions of Disturbances
B. I. Anan’ev p. 9 abstract
A New Method for Constructing Cubic Interpolating Splines
Yu. S. Volkov p. 13 abstract
Spectral Asymptotics for Magnetic Schrödinger Operators and Nilpotent Lie Algebras
O. E. Kudryavtsev p. 16 abstract
A Parametrix for the Problem of Optical-Acoustic Tomography
D. A. Popov and D. V. Sushko p. 19 abstract
Equilibria in Multiperson Games
E. R. Smol’yakov p. 22 abstract
Evaluation of the Regularized Trace of the Sturm–Liouville Operator
with a Singularity in the Potential
A. B. Khasanov and A. B. Yakhshimuratov p. 26 abstract
Solvability of the Nonlinear Heat Equation with Degeneracy of the Coefficient
of the Solution under Time Derivative in Classes of Unbounded Functions
E. G. Agapova and A. G. Podgaev p. 29 abstract
Polyconvolutions for the Hankel Transform and Differential Operators
L. E. Britvina p. 32 abstract
Spherical Potentials of Complex Order in Generalized Hölder Spaces with Weight
B. G. Vakulov, N. K. Karapetyants, and L. D. Shankishvili p. 35 abstract
-Differentiability of Mappings from Sobolev Classes on Carnot Groups
S. K. Vodop’yanov p. 39 abstract
On the Properties of Eigenfunctions and the Spectrum of an Elliptic Operator
M. B. Gubaidullin and Kh. Kh. Murtazin p. 44 abstract
Wavelet Decompositions in Spline Spaces on Nonuniform Meshes
Yu. K. Demjanovich p. 47 abstract
Smoothing Mappings with Bounded Distortion
I. V. Zhuravlev p. 51 abstract
H1-Stabilization of Velocity in One-Dimensional Viscous Compressible Barotropic Flows
A. A. Zlotnik p. 54 abstract
On the Number of Sign Changes of the Function S(t) on a Short Interval
M. A. Korolev p. 58 abstract
On the Stability of Conditionally Invariant Sets of Uncertain Systems
Yu. A. Martynyuk-Chernienko and V. I. Slyn’ko p. 60 abstract
On Riemann–Liouville Operators
D. V. Prokhorov and V. D. Stepanov p. 64 abstract
Integral Representations and Embedding Theorems for Functions Defined
on the Heisenberg Groups 
n
N. N. Romanovskii p. 68 abstract
Adaptive Discretization of Ill-Posed Problems
S. G. Solodky p. 72 abstract
Preordered Multivalued Fields
Yu. L. Ershov p. 75 abstract
Congruent Reduction of a Matrix to Quasidiagonal Form
Kh. D. Ikramov p. 80 abstract
A Theorem on the Genetic Code
N. N. Kozlov p. 83 abstract
The Cauchy Problem for an Ultrahyperbolic Equation
D. P. Kostomarov p. 88 abstract
Algebraic Criteria for the n-Completeness of Root Functions of Sheaves
of Linear Ordinary Differential Operators with General Boundary Conditions
A. I. Vagabov and V. S. Galyaev p. 92 abstract
New Relations for Morse–Smale Flows and Diffeomorphisms
V. Z. Grines, E. V. Zhuzhoma, and V. S. Medvedev p. 95 abstract
On the Properties of Some First-Order Systems Elliptic in the Unit Ball in 
2
and Degenerate on the Boundary
A. Dzhuraev p. 98 abstract
Stabilization of Solutions to the Two-Scale Equations
of a Viscous Compressible Barotropic Medium
A. A. Zlotnik p. 103 abstract
Trace and Extension Theorems
M. D. Ramazanov p. 108 abstract
Best Approximation and Widths of Some Classes of Analytic Functions
M. Sh. Shabozov and G. Yusupov p. 111 abstract
Mathematical Physics
An Asymptotic Method for Constructing the Poincaré Mapping
in Describing the Transition to Dynamical Chaos in Hamiltonian Systems
A. G. Petrov p. 114 abstract
Clusters of Diamond-Like Structures As Euclidean Realization
of Some Constructions in Projective Geometry
A. L. Talis p. 119 abstract
General Representations of Integral Conservation Laws for Nonlinear Differential Equations
V. P. Dymnikov p. 123 abstract
Thermal Equilibrium in the Sense of Gibbs and Poincaré
V. V. Kozlov p. 125 abstract
The Generalized and Functional Separation of Variables
in Mathematical Physics and Mechanics
A. D. Polyanin and A. I. Zhurov p. 129 abstract
An Exact Constant in One Sobolev–Nirenberg Inequality and Its Application
to Estimation from Below of the Blowup Time for the Nonlinear Schrödinger Equation
with a Critical Degree
Sh. M. Nasibov p. 135 abstract
Control Theory
Ergodic Construction of Utility under Risk
V. S. Levchenkov p. 139 abstract
Computer Science
Pattern Recognition by the Method of Pairwise Template Comparison
in Competent Feature Subspaces
N. G. Zagoruiko p. 143 abstract
Fast Quantum-Mechanical Recognition of Logical Formulas
Yu. I. Ozhigov p. 146 abstract
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