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Informatics and Automation
Tome 117 (1972)
Précédent
Suivant
Investigations in the theory of differentiable functions of many variables and its applications. Part IV
The behavior of differentiable functions on a nonsmooth surface
O. V. Besov
p. 3-10
The traces on a nonsmooth surface of classes of differentiable functions
O. V. Besov
p. 11-21
Estimates of moduli of smoothness of functions on domains, and imbedding theorems
O. V. Besov
p. 22-46
Properties of solutions of differential equations of higher order in terms of weight classes
Ya. S. Bugrov
p. 47-61
The approximation of functions in the space
$C^{r}(\Omega )$
by functions of compact support, for an arbitrary open set~
$\Omega $
V. I. Burenkov
p. 62-74
Boundaries of subdomains, H\"older weight classes and solutions in these classes of the Poisson equation
E. A. Volkov
p. 75-99
Weighted error estimates for the mesh method of solving the Laplace and Poisson equations
E. A. Volkov
p. 100-112
An imbedding theorem for spaces of functions whose mixed derivatives satisfy a~multiple integral H\"older condition
A. D. Dzhabrailov
p. 113-138
Families of spaces of functions whose mixed derivatives satisfy a~multiple integral H\"older condition
A. D. Dzhabrailov
p. 139-158
Asymptotic distribution of eigenvalues and eigenfunctions of a certain class of singular elliptic operators
I. A. Kipriyanov
p. 159-179
Polynomial traces and moduli of smoothness of functions of several variables
L. D. Kudryavtsev
p. 180-211
Operators connected with fractional differentiation, and classes of differentiable functions
P. I. Lizorkin
p. 212-243
The behavior at infinity of differentiable functions in weight classes
Yu. S. Nikol'skii
p. 244-255
The study of certain classes of functions by means of ``angular''' approximation
M. K. Potapov
p. 256-291
The representation of functions defined by a certain class of hypoelliptic operators
S. V. Uspenskii
p. 292-299
Integral estimates of generalized derivatives of solutions of second order elliptic equations in the
$L_{p}$
metric and certain imbedding theorems connected with them.
A. S. Fokht
p. 300-311
Unbounded solutions of degenerate elliptic equations
G. N. Yakovlev
p. 312-320
The first boundary value problem for quasilinear second order elliptic equations
G. N. Yakovlev
p. 321-340