Russian Journal of Mathematical Physics
- Volume 1, Number 1 (1993)
- Volume 1, Number 2
- Volume 1, Number 3
- Volume 1, Number 4
- Volume 2, Number 1 (1994)
- Volume 2, Number 2
- Volume 2, Number 3
- Volume 2, Number 4
- Volume 3, Number 1 (1995)
- Volume 3, Number 2
- Volume 3, Number 3
- Volume 3, Number 4
- Volume 4, Number 1 (1996)
- Volume 4, Number 2
- Volume 4, Number 3
- Volume 4, Number 4
- Volume 5, Number 1 (1997)
- Volume 5, Number 2
- Volume 5, Number 3
- Volume 5, Number 4
- Volume 6, Number 1 (1999)
Hierarchical Structures and Estimates for 5
Homogenized Coefficients - A.Yu. Belyaev
and S.M. Kozlov
Reduction Formulas for Hypergeometric Functions 19
Associated with the Grassmannian G_{k,n} and
Description of These Functions on Strata of Small
Codimension in G_{k,n} - I.M. Gelfand, M.I. Graev
and V.S. Retakh
Dynamical Systems Determined by the Navier-Stokes 57
Equations - V.V. Kozlov
Behaviour of Generalized Eigenfunctions at 71
Infinity and the Schrodinger Conjecture -
V.P. Maslov, S.A. Molchanov and A.Ya. Gordon
Lattice Theory and Flows of Ideal Incompressible 105
Fluid - A.I. Shnirelman
Almost Convergence and its Applications to the 115
Fourier-Stieltjes Localization - A.I. Shtern
Short Communications
Linear Programming in Semirings with Operators - 127
S.M. Avdoshin
On Positive Solutions of Singular Boundary 131
Value Problems for a Quasilinear Equation -
V.A. Kondratyev and V.A. Nikishkin
On the Properties of Generalized Solutions 139
of Elliptic Equations - L.A. Bagirov and
V.A. Kondratyev
Nonautonomous Evolution Equations and 165
their Attractors - V.V. Chepyzhov and
M.I. Vishik
On the Inclusion of an Almost Integrable 191
Analytic Symplectomorphism into a
Hamiltonian Flow - S.B. Kuksin
The Schrodinger Equation with a Potential 209
Depending on a Small Parameter - A.Ya. Povzner
The Laplace-Radon Transformation in Complex 239
Analysis and its Applications. I -
V.E. Shatalov and B.Yu. Sternin
Short Communications
The Two-Term Spectral Asymptotics for 269
Elliptic Operators - A.V. Volovoi
Homoclinic Orbits of Geodesic Flows on 275
Surfaces - S.V. Bolotin
Hypergeometric Functions on the External Power 289
Lambda^k C^n and on the Grassmannian
G_{k,n}, their Relationships and Integral
Representations - I.M. Gelfand, M.I. Graev
and V.S. Retakh
Approximate Construction of Rational Approxi- 313
mations and an Effect of Error Autocorrection.
Applications - G.L. Litvinov
Heat Transport in Random Flows - S.A. Molchanov 353
and L.I. Piterbarg
Hamilton-Jacobi Equations Integrable by the 377
Orbit Method - E.M. Vorobev
Short Communications
An Example of the Diffusion Approximation Method 391
as Applied to the Density Function of a One-
Dimensional Oscillator - A.M. Chebotarev,
S.Yu. Dobrokhotov, A.I. Shafarevich
An Example of an Optimal Control Problem Whose 397
Extremals Possess a Continual Set of
Discontinuities of the Control Function -
A.A. Milyutin
Random Permutations and the Corresponding 403
Operators in Symmetric Spaces - E.M. Semenov
The Zeeman Effect: A Semiclassical Trajectory- 409
Coherent Approximation - V.V. Belov and
J.L. Volkova
Methods of Potential Theory in the Dynamics 427
of Elastic Media - I.Yu. Chudinovich
A Trace Formula for the Schroedinger Operator 447
- B.V. Fedosov
Invertibility of Schroedinger Operators in 465
Weighted Spaces - V.A. Kondratyev
Some Properties of the Solution of Degenerating 483
Semilinear Elliptic Inequalities - E.M. Landis
The Difference Laplacian \Delta on the Modified 495
Koch Curve - L.A. Malozemov
Positive Definite Functions Depending on the 511
Norm - V.P. Zastavnyi
Short Communications
Integrals over Membranes, Transition Amplitudes, 523
and Quantization - M.V. Karasev
Invariant Riemann Integration on the Stone-Cech 527
Compactification of Natural Numbers -
T.V. Khlynova
On the Estimate of the Attractor's Dimension 533
for Multidimensional Fitz-Hugh-Nagumo Equations
- A.A. Shcherbakov
Table of Contents, Volume 1, Numbers 1-4, 1993 539
Homogeneous Volterra Operator Equations with 3
a Regular Singularity - E.V. Belyaeva and
S.G. Krein
Influence of the Position of a String in a 13
Membrane on the Frequences of Normal Oscilla-
tions - A.S. Bratus and A.D. Myshkis
Qualitative Study of Singularities for Extremals 31
of Quadratic Optimal Control Problem -
S.V. Chukanov and A.A. Milyutin
Asymptotic and Numerical Analysis of the Flow 49
Around a Plate with Small Period Irregularities
- V.G. Danilov and M.V. Makarova
Group Representations on Spaces of Distributions 57
- G. van Dijk
Large Deviations and Transitivity of Solutions 69
to Nonlinear Stochastic Partial Differential
Equations - V.M. Imaikin and A.I. Komech
Hyperbolic Tori and Asymptotic Surfaces in 93
Hamiltonian Systems - D.V. Treshev
Infinite-Dimensional Geometry of the Universal 111
Deformation of the Complex Disk - D.Y. Yurev
Short Communications
The Volume Invariant in Proximity Spaces - 123
E.M. Gorelik and A.K. Tolpygo
Boundedness of Operators on L_p Spaces with 127
Arbitrary Real 1/p and Interpolation Theorems -
V.I. Ovchinnikov
Compact Semitopological Semigroups and Reflexive 131
Representability of Topological Groups -
A.I. Shtern
Some Integral Identities and Remarks on the Decay 133
at Infinity of the Solutions to the Navier-Stokes
Equations in the Entire Space -
S.Yu. Dobrokhotov and A.I. Shafarevich
Letters to the Editors 136
Nonself-Adjoint Elliptic Operators on Nonsmooth 139
Domains - M.S. Agranovich
Asymptotic Steady-State Solutions to the Nonlinear 149
Hydromagnetic Dynamo Equations - M.P. Belyanin,
D.D. Sokoloff and A.M. Shukurov
Transversally Elliptic Operators on G-Manifolds 175
of Bounded Geometry - Y.A. Kordyukov
Quasisolutions to Operator Equations and Nonlinear 199
Problems for Viscous Fluids and Elastic Solids -
W.G. Litvinov
An Asymptotic Formula for the N-Particle Density 217
Function as N\to\infty and a Violation of the
Chaos Hypothesis - V.P. Maslov and O.Yu. Shvedov
Yang-Mills Gauge Fields as Harmonic Functions 235
for the Levy Laplacian - L. Accardi,
P. Gibilisco and I.A. Volovich
A Classification of the Generic Curves on 251
Oriented Surfaces - A.B. Sossinsky
Short Communications
A Generalization of the Lee-Yang Theorem - 261
A.I. Ovseevich
D-Modules and Leray Uniformization in the 265
Cauchy Problem for Overdetermined Systems -
V.E. Nazaikinskii
A Lower Bound of the Instability Index in the 267
Vibration Problem for an Elastic Fluid-
Conveying Pipe - V.N. Pivovarchik
The Monodromy Group at Infinity of a Generic 275
Polynomial Vector Field on the Complex Projective
Plane - Y.S. Ilyashenko and A.S. Pyartli
On 3-Manifolds Having the Same Turaev-Viro 317
Invariants - S.V. Matveev and T. Nowik
Asymptotic Analysis of Bar Systems (I) - 325
G.P. Panasenko
Quasisymmetry. I - A.I. Shtern 353
Plucker Embedding of the Hilbert Space 383
Grassmannian and the CAR Algebra - M. Spera
and G. Valli
On the Homogenization of Nonlinear Variational 393
Problems in Perforated Domains - V.V. Zhikov
Some Applications of Stochastic Differential 411
Geometry to Mathematical Physics - Y.E. Gliklikh
Formulas for Noncommutative Products of 445
Functions in Terms of Membranes and Strings. I
- M. Karasev
Fluctuation-Generated Tokamak Pinch Instabilities 463
- V.P. Maslov & G.a. Omel'yanov
Quadratic conditions for Nonsingular Extremals 487
in Optimal Control (A Theoretic Treatment) -
N.P. Osmolovskii
Spectral Problems for Canonical Systems of 517
Equations on the Axis - L.A. Sakhnovich
Short Communications
Quasi-Particles Associated with Lagrangian 527
Manifolds Corresponding to Classical
Self-Consistent Fields. I - V.P. Maslov
Positive Solutions of Quasilinear Emden-Fowler 535
Systems of Arbitrary Order - V.A. Kondratyev
& S.D. Eidelman
Table of Contents, Volume 2, Numbers 1-4, 1994 541
A Dynamical Theory of Quantum Measurement and 3
Spontaneous Localization - V.P. Belavkin
A Representation of the Delta Function via Creation 25
Operators and Gaussian Exponentials and
Multiplicative Fundamental Solution Asymptotics
for Some Parabolic Pseudodifferential Equations
- V.G. Danilov
Transversally Elliptic Operators on a G-Manifold 41
of Bounded Geometry (continued) - Y.A. Kordyukov
Asymptotic Solutions to the Wigner Equation for 65
Systems of a Large Number of Particles
- V.P. Maslov & O.Y. Shvedov
A Duality Formula for Multidimensional Vector 81
Fields - A.A. Milyutin
Classification of Linear Differential Operators 113
with an Invariant Subspace of Monomials -
G. Post & A. Turbiner
Short Communications
Quasi-Particles Associated with Lagrangian 123
Manifolds Corresponding to Classical Self-
Consistent Fields. II - V.P. Maslov
Closed Trajectories and Two-Dimensional Tori 133
in the Quantum Problem for a Three-Dimensional
Resonant Anharmonic Oscillator - S.Y. Dobrokhotov,
V. Martinez-Olive & A.I. Shafarevich
The Complex Lagrangian Germ and the Canonical 141
Operator, V.L.Dubnov, V.P.Maslov &
V.E.Nazaikinskii
Pseudocharacters on Free Semigroups 191
V.A.Faiziev
Exotic Engel Structures on R^4, V.Gershkovich 207
On the Stabilization of String-Oscillator Interaction, 227
Alexander I. Komech
On Lavrentiev's Phenomenon, Vasilii V. Zhikov 249
Quasi-Particles Associated with Lagrangian Manifolds 271
Corresponding to Semiclassical Self-Consistent
Fields. III, V.P.Maslov
Symmetry Fields of Geodesic Flows, 279
Sergey V. Bolotin, Valery V. Kozlov
Asymptotics at Infinity of the Solution to the 297
Dirichlet Problem for a System of Equations with
Periodic Coefficients in an Angular Domain,
Sergei A. Nazarov
Nonlocal Elliptic Problems and Multidimensional 327
Diffusion Processes, Alexander L. Skubachevskii
On Invariants of Differential Operators with Multiple 361
Characteristics, Vladimir E.Tulovskii
Short Communications
On Space-Chaotic Solutions to Scalar Parabolic 389
Equations with Modulated Nonlinearities,
Anatoli V. Babin
Quantization and Coherent States over Lagrangian 393
Submanifolds, Mikhail V. Karasev
Quasi-Particles Associated with Lagrangian Manifolds 401
Corresponding to Semiclassical Self-Consistent
Fields. IV Victor P. Maslov
Lions--Peetre Construction for Couples of Operator 407
Spaces Vladimir I. Ovchinnikov
Quasi-Two-Dimensional Charged Particle in a Tilted 413
Magnetic Field: Asymptotic Properties of the Spectrum
- Mikhail A.Antonets and Vladimir A.Geyler
The Strong, Semi-Strong, and Quasi-Semi-Strong Bordism 423
Groups of Integrable Hamiltonian Systems of
Differential Equations with Two Degrees of Freedom -
Alexei V.Bolsinov, Anatolii T. Fomenko, and
Xingru Zhang
Topics in Non-Hamiltonian (Magnetic-Type) Interaction 453
of Classical Hamiltonian Dynamic Systems -
Denis Juriev
The Cauchy Problem for the Einstein Equations - 461
Alexander N.Temchin
On the Minimum of the Energy Functional with Respect 491
to Functions with Deviating Argument in a Stationary
Problem of Elasticity Theory -
German G. Onanov and Evgenii L.Tsvetkov
Extremal Properties of Resonances for Two-Particle 501
Systems in a Magnetic Field - Simeon A.Vugalter and
Grigorii M.Zhislin
Short Communications
Accelerated Convergence Method in the Sturm--Liouville 517
Problem - Leonid D. Akulenko and Sergei V. Nesterov
On Stochastic Generators of Completely Positive 523
Cocycles - Vyacheslav P. Belavkin
Quasi-Particles Associated with Lagrangian Manifolds 529
and (in the Ergodic Case) with Constant Energy
Manifolds Corresponding to Semiclassical
Self-Consistent Fields. V. - Victor P.Maslov
A Limit Theorem for Isotropic Random Walks on Rd 535
as d->oo - Michael Voit
Tables of Contents, Volume 3, Numbers 1-4, 1995 541
The Frequency Map for Integrable Nonlinear 3
Schrodinger Equation and Geometry of Zeros of Abelian
Differentials - Ramil' F. Bikbaev
On Quantum Extensions of Semigroups of Brownian Motion 13
on a Half-Line - B.V.Rajarama Bhat, Franco Fagnola
and Kalyan B.Sinha
Asymptotics of the Ground State Energy of Heavy 29
Molecules in a \newline Strong Magnetic Field. I -
Victor Ivrii
The Dynamo Problem for Large Hydrodynamic and Magnetic 75
Reynolds Numbers - Victor P.Maslov and
Georgii A. Omel'yanov
Asymptotic Analysis of Bar Systems. II - 87
Grigory P. Panasenko
Short Communications
Quasi-Particles Associated with Lagrangian Manifolds 117
Corresponding to Classical Self-Consistent Fields. VI
- Victor P. Maslov
On the Summability of Regularized Sums of 123
Eigenvalues of the Laplace-Beltrami Operator with
Potential on Symmetric Spaces of Rank One -
Vladimir E. Podol'skii
A Comparison Between the Weyl Method and the Invariant 131
Formalism for Spinorial Covariant Derivatives -
Michael A. Vandyck
Stochastic Control of Operator-Valued Processes in 139
Boson Fock Space - Andreas Boukas
Sub-Riemannian Manifolds as Limits of Riemannian Ones - 151
Vladimir Gershkovich
Chaos Conservation Problem in Quantum Physics - 173
Victor P. Maslov, Oleg Yu. Shvedov
Asymptotics of the Solution to the Neumann Problem in a 217
Domain with Singular Point of Peak Exterior Type
Serguei A.Nazarov
A Method for Finding Asymptotic Solutions of Some Partial 251
Differential Equations \newline Containing a Small
Parameter - Alexander Ya. Povzner
Short Communications
Quasi-Particles Associated with Isoenergetic Manifolds 265
Corresponding to Classical Self-Consistent Fields. VII -
Victor P.Maslov
Corrigendum 271
Letter to the Editor 272
Volume 4, Number 3, September 1996
Stochastic Approach to Time-Dependent Quantum Tunneling 275
- Alexander M.Chebotarev
Infinite-Dimensional Geometry and Quantum Field Theory 287
of Strings. II.Infinite-Dimensional Noncommutative
Geometry of a Self-Interacting String Field -
Denis V.Juriev
Processes and Automorphisms on Inductor Spaces - 315
Alexander V. Koganov
Asymptotic Spectral Analysis of a Small Diffusion 341
Operator and the Life Times of the Corresponding
Diffusion Process -
Vassili N. Kolokol'tsov and Konstantin A. Makarov
A Fast Dynamo Theorem - Victor P. Maslov 361
Semiclassical Approximation for an Ergodic Classical 377
Hamiltonian Flow. The Derivation of the Semiclassical
Chaos Equations. The Role of the Self-Consistent
Potential. - Victor P. Maslov
Short Communications
Automorphisms of Degenerate Hypersurfaces in C2 393
and a Dimension Conjecture - Valerii K.Beloshapka
Boolean Averaging in a Statistical Mechanics Model and in 397
an Analog-to-Digital Converter - Mikhail M. Kipnis
Point Transformations and Classification of Third-Order 403
Linear ODE - Valerii A.Yumaguzhin
Mark Iosifovich Vishik (On his seventy fifth anniversary)
Resonances and Regularity for Boussinesq Equations - 417
Anatoli V. Babin, Alex Mahalov, and Basil Nicolaenko
Global Exact Controllability of the 2D Navier-Stokesi 429
Equations on a Manifold Without Boundary
Jean-Michel Coron and Andrei V. Fursikov
Heavy Molecules in Strong Magnetic Field - 449
Victor Ivrii
On the Completeness of Ursell's Trapping Modes - 457
Alexander I. Komech, Anatolii E. Merzon, and
Peter N. Zhevandrov
Asymptotic Behavior of Solutions to a Boundary Value 487
Problem with Small Parameter - Alexander I. Ovseevich,
Andrei L. Pyatnitskii, and Alexei S. Shamaev
Twisted L2 Invariants of Non-Simply Connected 449
Manifolds and Asymptotic L22 Morse Inequalities
- Varghese Mathai and Mikhail Shubin
Quasilinear Hyperbolic Equations: Solutions Bounded in 527
Time and Almost Periodic in Time - Leonid R. Volevich
and Armen R. Shirikyan
Quasi-Particles Associated with Isoenergetic Manifolds 539
Corresponding to Classical Self-Consistent Fields. VIII -
Victor P. Maslov
Tables of Contents, Volume 4, Numbers 1--4, 1996 547
Pseudocharacters on Free Products of Groups - 3
Valerii A.Faiziev
Global Integral Manifolds with Exponential Tracking for 9
for Nonautonomos Equations - Vladimir V. Chepyzhov and
Andrei Y. Goritsky
The Interaction of a Kink with a Breather of Small 29
Amplitude in the phi^4-Model - Oleg M.Kiselev
Vassiliev Spaces and Classical Invariants - Alexei B. 47
Sossinsky
Splitting of Separatrices for a Pendulum with Rapidly 83
Oscillating Suspension Point - Dmitry V. Treschev
Lower Bound for Large Deviations for an Averaged SDE with a 99
Small Diffusion - Alexandre Y. Veretennikov
On Some Variational Problems - Vasilii V. Zhikov 105
Estimation of a Partial Involtion in a Banach Algebra - 117
Evgenii A. Gorin
Positive Solutions of Nonlinear Second-Order Elliptic 119
Inequalities in Unbounded Domains - Andrei A. Kon'kov
Quasi-Particles Associated with Isoenergetic Manifolds 123
Corresponding to Classical Self-Consistent Fields. IX -
Victor P. Maslov
On the Cycle of Singularities of Isotropic Submanifolds - 131
Vladimir E. Nazaikinskii and Yrii M. Vorobjev
Triviality and Continity of Pseudocharacters and 135
Pseudorepresentations - Alexander I. Shtern
On the Mathematical Theory of Vibration - Valeriya L. 141
Bodneva and Alexei A. Milyutin
Harmonic Analysis on a Class of Generalized Gel'fand Pairs 167
Associated with Hyperbolic Spaces - Gerrit van Dijk and Kamel
Mokni
Stabilization of Space-Time Statistical Soltions of the 179
Klein-Gordon Equation - Tat'yana V. Dudnikova
Differential Symmetry Algebras for Linear Homogeneous 189
Differential Eqations Aleksander I. Fomin
Radial-Symmetric Solution of the Cosh-Laplace Equation and 211
the Distribution of Its Singlarities Victor Y. Novokshenov
Boundary Layers for Oseen's Type Equation in Space 227
Dimension Three Roger Temam and Xiaoming Wang
Configuration Spaces of Hinge Constructions - Dimitri 247
Zvonkine
Quantum Selection of Isotropic Tori of Partially 267
Integrable Hamiltonian Systems in the Quasiclassical
Approximation - Sergei Y. Dobrokhotov and Andrei I. Shafarevich
Quasi-Particles Associated with Isoenergetic Manifolds 273
Corresponding to Classical Self-Consistent Fields. X -
Victor P. Maslov
On the Cortex of Connected Simply Connected Nilpotent Lie 281
Groups - A. Bakloti
On Soliton-Like Asymptotics for 1D Nonlinear Reaction 295
Systems - Jaqueline Fleckinger and Alexander Komech
Asymptotics of Poles with Small Imaginary Part for a 307
Complete Electromagnetic Analog of the Helmholtz Resonator
- Rustem R. Gadyl'shin
Asymptotics of the Ground State Energy of Heavy Molecles 321
in a Strong Magnetic Field. II - Victor Ivrii
Particle Interpretation of Nonlinear Filtering and 355
Optimization - P. del Moral and G. Salt
Quadratic Conditions for Nonsinglar Extremals in Optimal 373
Control (Examples) Nikolai P. Osmolovski
Singlarities of Attainable Sets - Alexandr I. Ovseevich 389
CR-Varieties of the Type (1,2) as Varieties of 399
``Super-High'' Codimension - Valerii K. Beloshapka
Quasi-Particles Associated with Isoenergetic Manifolds 405
Corresponding to Classical Self-Consistent Fields. XI -
Victor P. Maslov
A Variational Criterion for Nonintegrability - 415
Sergey Bolotin and Piero Negrini
Classical and Quantum Dynamics of Noncanonically Coupled 437
Oscillators, and Lie Superalgebras - Denis V.Juriev
Asymptotic Well-Posedness for the Problem of Soliton 447
Perturbation - L.A.Kalyakin
Small Oscillations of a Viscous Fluid in a Vessel Bounded 459
by an Elastic Membrane -
Nikolai D.Kopachevskii and Yuliya S.Pashkova
Deterministic Quantum Chaos for Systems of Bosons and 473
Fermions - Victor P. Maslov
On the Dimension of the Attractor for the Benard Problem 489
with Free Surfaces - A. Miranville and M. Ziane
Wave Equation and Helmholtz Equation in Domains With 503
Perturbed Star-Shaped Boundary -
Leonid A. Muravei and Aleksei V. Filinovskii
Short Communications
Optimization of an Eigenvalue of a Schroedinger Equation 521
with Respect to the Potential - V.A.Gordin
On the Exact Solution of a Many-Fermion Problem in the 527
Form of Maslov Pairs - Gennadii V.Koval'
Quasi-Particles Associated with Isoenergetic Manifolds 529
Corresponding toClassical Self-Consistent Fields. XII -
Victor P.Maslov
Stabilizability of Dynamo Equation - Dmitrii D. Sokoloff 535
Edge Waves in a Two-Layer Fluid -Peter N. Zhevandrov 541
Tables of Contents, Volume 5, Numbers 1-4, 1997 547