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1

Homogenization of degenerate elliptic equations

V. V. Zhikov, S. E. Pastukhova

Journal:

Siberian Mathematical Journal

Year:

2008

Language:

english

File:

PDF, 265 KB

english, 2008

2

Homogenization and two-scale convergence in the Sobolev space with an oscillating exponent

Zhikov, V. V., Pastukhova, S. E.

Journal:

St Petersburg Mathematical Journal

Year:

2019

Language:

english

File:

PDF, 343 KB

english, 2019

3

Weighted Sobolev spaces

Journal:

Russian Academy of Sciences Sbornik Mathematics

Year:

1998

Language:

english

File:

PDF, 350 KB

english, 1998

4

Some estimates from homogenization theory

Journal:

Doklady Mathematics

Year:

2006

Language:

english

File:

PDF, 153 KB

english, 2006

5

To the Problem of Passage to the Limit in Divergent Nonuniformly Elliptic Equations

Journal:

Functional Analysis and Its Applications

Year:

2001

Language:

english

File:

PDF, 188 KB

english, 2001

6

AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY

Journal:

Mathematics of the USSR-Izvestiya

Year:

1987

Language:

english

File:

PDF, 1.81 MB

english, 1987

7

Existence and uniqueness theorems for solutions of parabolic equations with a variable nonlinearity exponent

Alkhutov, Yu A, Zhikov, V V

Journal:

Russian Academy of Sciences Sbornik Mathematics

Year:

2014

Language:

english

File:

PDF, 574 KB

english, 2014

8

On density of smooth functions in weighted Sobolev spaces with variable exponents

Zhikov, V. V., Surnachev, M. D.

Journal:

St Petersburg Mathematical Journal

Year:

2016

Language:

english

File:

PDF, 310 KB

english, 2016

9

Remarks on compactness conditions related to the work of M. I. Kadets on integration of abstract almost-periodic functions

Journal:

Functional Analysis and Its Applications

Year:

1971

Language:

english

File:

PDF, 381 KB

english, 1971

10

Proof of the favard theorem on the existence of almost-periodic solution for an arbitrary Banach space

Journal:

Mathematical Notes

Year:

1978

Language:

english

File:

PDF, 314 KB

english, 1978

11

Solvability of linear equations in the Besicovitch and Bohr classes of almost periodic functions

Journal:

Mathematical Notes

Year:

1975

Language:

english

File:

PDF, 308 KB

english, 1975

12

The existence of Levitan almost-periodic solutions of linear systems (second complement to Favard's classical theory)

Journal:

Mathematical Notes

Year:

1971

Language:

english

File:

PDF, 233 KB

english, 1971

13

On the homogenization technique for variational problems

Journal:

Functional Analysis and Its Applications

Year:

1999

Language:

english

File:

PDF, 907 KB

english, 1999

14

Diffusion in an incompressible random flow

Journal:

Functional Analysis and Its Applications

Year:

1997

Language:

english

File:

PDF, 651 KB

english, 1997

15

On the Trotter-Kato theorem in a variable space

V. V. Zhikov, S. E. Pastukhova

Journal:

Functional Analysis and Its Applications

Year:

2007

Language:

english

File:

PDF, 135 KB

english, 2007

16

On the technique for passing to the limit in nonlinear elliptic equations

Journal:

Functional Analysis and Its Applications

Year:

2009

Language:

english

File:

PDF, 210 KB

english, 2009

17

New approach to the solvability of generalized Navier-Stokes equations

Journal:

Functional Analysis and Its Applications

Year:

2009

Language:

english

File:

PDF, 236 KB

english, 2009

18

Existence theorems for solutions of parabolic equations with variable order of nonlinearity

Yu. A. Alkhutov, V. V. Zhikov

Journal:

Proceedings of the Steklov Institute of Mathematics

Year:

2010

Language:

english

File:

PDF, 1.20 MB

english, 2010

19

Lemmas on compensated compactness in elliptic and parabolic equations

V. V. Zhikov, S. E. Pastukhova

Journal:

Proceedings of the Steklov Institute of Mathematics

Year:

2010

Language:

english

File:

PDF, 1.33 MB

english, 2010

20

Estimates of homogenization for a parabolic equation with periodic coefficients

V. V. Zhikov, S. E. Pastukhova

Journal:

Russian Journal of Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 457 KB

english, 2006

21

On the homogenization of degenerate elliptic equations

V. V. Zhikov, S. E. Pastukhova, S. V. Tikhomirova

Journal:

Doklady Mathematics

Year:

2006

Language:

english

File:

PDF, 193 KB

english, 2006

22

On the solvability of the Navier-Stokes equations for a compressible b non-Newtonian fluid

V. V. Zhikov, S. E. Pastukhova

Journal:

Doklady Mathematics

Year:

2009

Language:

english

File:

PDF, 200 KB

english, 2009

23

On the weak convergence of fluxes to a flux

Journal:

Doklady Mathematics

Year:

2010

Language:

english

File:

PDF, 182 KB

english, 2010

24

Existence theorems and qualitative properties of solutions to parabolic equations with a variable order of nonlinearity

Yu. A. Alkhutov, V. V. Zhikov

Journal:

Doklady Mathematics

Year:

2010

Language:

english

File:

PDF, 195 KB

english, 2010

25

On the compensated compactness principle

V. V. Zhikov, S. E. Pastukhova

Journal:

Doklady Mathematics

Year:

2010

Language:

english

File:

PDF, 212 KB

english, 2010

26

Two-Scale Convergence and Spectral Questions of the Homogenization Theory

Journal:

Journal of Mathematical Sciences

Year:

2003

Language:

english

File:

PDF, 496 KB

english, 2003

27

Remarks on the Uniqueness of a Solution of the Dirichlet Problem for Second-Order Elliptic Equations with Lower-Order Terms

Journal:

Functional Analysis and Its Applications

Year:

2004

Language:

english

File:

PDF, 152 KB

english, 2004

28

A Class of Degenerate Elliptic Equations

Yu.A. Alkhutov, V.V. Zhikov

Journal:

Journal of Mathematical Sciences

Year:

2004

Language:

english

File:

PDF, 118 KB

english, 2004

29

Density of smooth functions in weighted Sobolev spaces

Journal:

Doklady Mathematics

Year:

2013

Language:

english

File:

PDF, 180 KB

english, 2013

30

Hölder continuity of solutions to a degenerate elliptic equation in the presence of the Lavrentiev phenomenon

Alkhutov, Yu. A., Zhikov, V.V.

Journal:

Applicable Analysis

Year:

2014

Language:

english

File:

PDF, 236 KB

english, 2014

31

On an extension of the method of two-scale convergence and its applications

Journal:

Russian Academy of Sciences Sbornik Mathematics

Year:

2000

Language:

english

File:

PDF, 434 KB

english, 2000

32

Homogenization of elasticity problems on singular structures

Journal:

Izvestiya Mathematics

Year:

2002

Language:

english

File:

PDF, 630 KB

english, 2002

33

Homogenization of random singular structures and random measures

Zhikov, V V, Pyatnitskii, A L

Journal:

Izvestiya Mathematics

Year:

2006

Language:

english

File:

PDF, 1.01 MB

english, 2006

34

Homogenization of a Navier–Stokes-type system for electrorheological fluid

Journal:

Complex Variables and Elliptic Equations

Year:

2011

Language:

english

File:

PDF, 134 KB

english, 2011

35

QUESTIONS OF CONVERGENCE, DUALITY, AND AVERAGING FOR FUNCTIONALS OF THE CALCULUS OF VARIATIONS

Journal:

Mathematics of the USSR-Izvestiya

Year:

1984

Language:

english

File:

PDF, 714 KB

english, 1984

36

Homogenization estimates of operator type for an elliptic equation with quasiperiodic coefficients

Pastukhova, S. E., Zhikov, V. V.

Journal:

Russian Journal of Mathematical Physics

Year:

2015

Language:

english

File:

PDF, 511 KB

english, 2015

37

On the convergence of bloch eigenfunctions in homogenization problems

Zhikov, V. V., Pastukhova, S. E.

Journal:

Functional Analysis and Its Applications

Year:

2016

Language:

english

File:

PDF, 237 KB

english, 2016

38

Operator estimates in homogenization theory

Zhikov, V V, Pastukhova, S E

Journal:

Russian Mathematical Surveys

Year:

2016

Language:

english

File:

PDF, 1.15 MB

english, 2016

39

Addition to the classical theory of Favard

Journal:

Mathematical Notes

Year:

1970

Language:

english

File:

PDF, 284 KB

english, 1970

40

Some new results in abstract Favar theory

Journal:

Mathematical Notes

Year:

1975

Language:

english

File:

PDF, 333 KB

english, 1975

41

Conditions for the negative spectrum of the Schrodinger equation operator to be discrete and finite

M. G. Gasymov, V. V. Zhikov, B. M. Levitan

Journal:

Mathematical Notes

Year:

1967

Language:

english

File:

PDF, 243 KB

english, 1967

42

The invertibility of the operator d/dt + A(t) in the space of bounded functions

V. V. Zhikov, V. M. Tyurin

Journal:

Mathematical Notes

Year:

1976

Language:

english

File:

PDF, 242 KB

english, 1976

43

On a problem of Bochner and von Neumann

Journal:

Mathematical Notes

Year:

1968

Language:

english

File:

PDF, 366 KB

english, 1968

44

Averaging of singularly perturbed elliptic operators

V. V. Zhikov, E. V. Krivenko

Journal:

Mathematical Notes

Year:

1983

Language:

english

File:

PDF, 450 KB

english, 1983

45

Stabilization of the solution of the Cauchy problem for parabolic equations

V. N. Denisov, V. V. Zhikov

Journal:

Mathematical Notes

Year:

1985

Language:

english

File:

PDF, 647 KB

english, 1985

46

Effective conductivity of random homogeneous sets

Journal:

Mathematical Notes

Year:

1989

Language:

english

File:

PDF, 650 KB

english, 1989

47

Estimates for the trace of the averaged matrix

Journal:

Mathematical Notes

Year:

1986

Language:

english

File:

PDF, 475 KB

english, 1986

48

Averaging in perforated random domains of general type

Journal:

Mathematical Notes

Year:

1993

Language:

english

File:

PDF, 660 KB

english, 1993

49

Threshold of conductivity for a random cubic structure

Journal:

Mathematical Notes

Year:

1992

Language:

english

File:

PDF, 469 KB

english, 1992

50

G-convergence of elliptic operators

Journal:

Mathematical Notes

Year:

1983

Language:

english

File:

PDF, 537 KB

english, 1983