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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1982, Volume 115

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Boundary-value problems of mathematical physics and related problems of function theory. Part 14


Attractors of Navier–Stokes systems and of parabolic equations, and estimates for their dimensions
A. V. Babin, M. I. Vishik
3
Asymptotic behavior relative to a large parameter of the solution of the Fok–Klein–Gordon equation in the case of a discontinuous initial condition
V. M. Babich
16
Asymptotic behavior of the spectrum of variational problems on the solutions of elliptic systems
M. Sh. Birman, M. Z. Solomyak
23
Trace formula in Hamiltonian mechanics
V. S. Buslaev, E. A. Rybakina
40
A test for the absence of the singular continuous spectrum in the Friedrichs model
A. F. Vakulenko
61
A theorem on the Markov periodic approximation in ergodic theory
A. M. Vershik
72
Existence and uniqueness theorems for $A$-regular generalized solutions of the first boundary-value problem for $(A,\vec0)$-elliptic equations
A. V. Ivanov
83
Solution of the Dirichlet problem for the Monge–Ampere equation in weight spaces
N. M. Ivochkina
97
Stationary solutions of the Navier–Stokes equations in periodic tubes
L. V. Kapitanskii
104
Behavior of the generalized solutions of the Dirichlet problem for higher-order elliptic equations in the neighborhood of the boundary
V. A. Kondrat'ev, O. A. Oleinik
114
Action-angle variables for a multicomponent nonlinear Schrödinger equation
P. P. Kulish
126
Finite-dimensionality of bounded invariant sets for Navier–Stokes systems and other dissipative systems
O. A. Ladyzhenskaya
137
Absence of De Giorgi-type theorems for strongly elliptic equations with complex coefficients
V. G. Maz'ya, S. A. Nazarov, B. A. Plamenevskii
156
Global solutions of nonstationary kinetic equations
N. B. Maslova
169
Solvability of the Dirichlet problem for degenerate quasilinear elliptic equations
P. Z. Mkrtychyan
178
Theory of nonstationary flows of Kelvin–Voigt fluids
A. P. Oskolkov
191
An incompressibility condition for a certain class of integral functionals. I
V. G. Osmolovskii
203
Spectral analysis of unitary perturbations of contractions
B. S. Pavlov, M. D. Faddeev
215
Theoretical basis of the method of successive approximations for stationary problems of the mechanics of a viscous fluid with free separation boundaries
V. Ya. Rivkind
228
Convergence of the solutions of a nonlinear Dirichlet problem at the refinement of the boundary of the domain
I. V. Skrypnik
236
Solutions of the stationary Navier–Stokes system of equations with an infinite Dirichlet integral
V. A. Solonnikov
251
Simple connection between the geometric and the Hamiltonian representations of integrable nonlinear equations
L. A. Takhtadzhyan, L. D. Faddeev
264
Estimates for the maxima of the moduli of the gradients for solutions of capillarity problems
N. N. Ural'tseva
274
Nonstationary scattering theory for elliptic differential operators
D. R. Yafaev
285


© Steklov Math. Inst. of RAS, 2025