Pastukhova Svetlana Evgenievna

Publications in Math-Net.Ru

1. Resolvent approximations of periodic elliptic operators of even order $2m\ge 6$
   
   Algebra i Analiz, 37:4 (2025),  107–140
2. Error estimates taking account of correctors in homogenization of elliptic operators
   
   Mat. Sb., 215:7 (2024),  74–95
3. $L^2$-estimates of error in homogenization of parabolic equations with correctors taken into account
   
   CMFD, 69:1 (2023),  134–151
4. On Operator Estimates of the Homogenization of Higher-Order Elliptic Systems
   
   Mat. Zametki, 114:3 (2023),  370–389
5. Improved $L^2$-approximation of resolvents in homogenization of fourth order operators
   
   Algebra i Analiz, 34:4 (2022),  74–106
6. Improved resolvent approximations in homogenization of second order operators with periodic coefficients
   
   Funktsional. Anal. i Prilozhen., 56:4 (2022),  93–104
7. Approximation of resolvents in homogenization of fourth-order elliptic operators
   
   Mat. Sb., 212:1 (2021),  119–142
8. A posteriori estimates of the deviation from exact solutions to variational problems under nonstandard coerciveness and growth conditions
   
   Algebra i Analiz, 32:1 (2020),  51–77
9. Resolvent approximations in $L^2$-norm for elliptic operators acting in a perforated space
   
   CMFD, 66:2 (2020),  314–334
10. Galerkin approximations for the Dirichlet problem with the $p(x)$-Laplacian
    
    Mat. Sb., 210:1 (2019),  155–174
11. Homogenization and two-scale convergence in Sobolev space with oscillating exponent
    
    Algebra i Analiz, 30:2 (2018),  114–144
12. Operator-type estimates in homogenization of elliptic equations with lower terms
    
    Algebra i Analiz, 29:5 (2017),  179–207
13. Large time asymptotics of fundamental solution for the diffusion equation in periodic medium and its application to estimates in the theory of averaging
    
    CMFD, 63:2 (2017),  223–246
14. Homogenization estimates of operator type for fourth order elliptic equations
    
    Algebra i Analiz, 28:2 (2016),  204–226
15. On the convergence of bloch eigenfunctions in homogenization problems
    
    Funktsional. Anal. i Prilozhen., 50:3 (2016),  47–65
16. Operator estimates in homogenization theory
    
    Uspekhi Mat. Nauk, 71:3(429) (2016),  27–122
17. The Neumann problem for elliptic equations with multiscale coefficients: operator estimates for homogenization
    
    Mat. Sb., 207:3 (2016),  111–136
18. Asymptotic expansions for the system of Beltrami equations
    
    Daghestan Electronic Mathematical Reports, 2014, no. 1,  79–83
19. Approximation of the Exponential of a Diffusion Operator with Multiscale Coefficients
    
    Funktsional. Anal. i Prilozhen., 48:3 (2014),  34–51
20. On integral representation of $\Gamma$-limit functionals
    
    Fundam. Prikl. Mat., 19:4 (2014),  101–120
21. Uniform convexity and variational convergence
    
    Tr. Mosk. Mat. Obs., 75:2 (2014),  245–276
22. The $\Gamma$-convergence of oscillating integrands with nonstandard coercivity and growth conditions
    
    Mat. Sb., 205:4 (2014),  33–68
23. Approximations of the Resolvent for a Non–Self-Adjoint Diffusion Operator with Rapidly Oscillating Coefficients
    
    Mat. Zametki, 94:1 (2013),  130–150
24. Approximations of the operator exponential in a periodic diffusion problem with drift
    
    Mat. Sb., 204:2 (2013),  133–160
25. On the Navier–Stokes equations: Existence theorems and energy equalities
    
    Trudy Mat. Inst. Steklova, 278 (2012),  75–95
26. Homogenization of Monotone Operators Under Conditions of Coercitivity and Growth of Variable Order
    
    Mat. Zametki, 90:1 (2011),  53–69
27. Several versions of the compensated compactness principle
    
    Mat. Sb., 202:9 (2011),  135–160
28. On the Property of Higher Integrability for Parabolic Systems of Variable Order of Nonlinearity
    
    Mat. Zametki, 87:2 (2010),  179–200
29. Lemmas on compensated compactness in elliptic and parabolic equations
    
    Trudy Mat. Inst. Steklova, 270 (2010),  110–137
30. Estimates of locally periodic and reiterated homogenization for parabolic equations
    
    Dokl. Akad. Nauk, 428:2 (2009),  166–170
31. Improved integrability of the gradients of solutions of elliptic equations with variable nonlinearity exponent
    
    Mat. Sb., 199:12 (2008),  19–52
32. Homogenization of degenerate elliptic equations
    
    Sibirsk. Mat. Zh., 49:1 (2008),  101–124
33. Operator Estimates in Nonlinear Problems of Reiterated Homogenization
    
    Trudy Mat. Inst. Steklova, 261 (2008),  220–233
34. On the Trotter–Kato Theorem in a Variable Space
    
    Funktsional. Anal. i Prilozhen., 41:4 (2007),  22–29
35. Elliptic Equation with Nonsymmetric Matrix: Averaging of the “Variational Solutions”
    
    Mat. Zametki, 81:4 (2007),  631–635
36. Degenerate equations of monotone type: Lavrent'ev phenomenon and attainability problems
    
    Mat. Sb., 198:10 (2007),  89–118
37. Derivation of the limit equations of elasticity theory on thin nets
    
    Tr. Semim. im. I. G. Petrovskogo, 25 (2006),  55–97
38. Homogenization of elasticity problems on periodic composite structures
    
    Mat. Sb., 196:7 (2005),  101–142
39. Homogenized Tensor on Networks
    
    Trudy Mat. Inst. Steklova, 250 (2005),  105–111
40. About homogenization of elasticity problems on combined structures
    
    Zap. Nauchn. Sem. POMI, 310 (2004),  114–144
41. Homogenization for elasticity problems on periodic networks of critical thickness
    
    Mat. Sb., 194:5 (2003),  61–96
42. The Oscillating Boundary Phenomenon in the Homogenization of a Climatization Problem
    
    Differ. Uravn., 37:9 (2001),  1216–1222
43. Spectral Asymptotics for a Steady-State Heat Conduction Problem in a Perforated Domain
    
    Mat. Zametki, 69:4 (2001),  600–612
44. Homogenization of a mixed problem with Signorini condition for an elliptic operator in a perforated domain
    
    Mat. Sb., 192:2 (2001),  87–102
45. Homogenization of the stationary Stokes system in a perforated domain with a mixed condition on the boundary of cavities
    
    Differ. Uravn., 36:5 (2000),  679–688
46. On homogenization of a variational inequality for an elastic body with periodically distributed fissures
    
    Mat. Sb., 191:2 (2000),  149–164
47. Substantiation of the Darcy law for a porous medium with condition of partial adhesion
    
    Mat. Sb., 189:12 (1998),  135–153
48. On the character of the damping of displacements in an elastic periodically perforated body with given deformation of the outer boundary under elastic constraints on the boundary of the cavities
    
    Differ. Uravn., 32:10 (1996),  1401–1409
49. On the nature of the temperature distribution in a perforated body with given values on the external boundary under conditions of heat transfer by Newton's law on the boundary of the cavities
    
    Mat. Sb., 187:6 (1996),  85–96
50. On the error of averaging for the Steklov problem in a punctured domain
    
    Differ. Uravn., 31:6 (1995),  1042–1054
51. Tartar's method of compensated compactness in averaging the spectrum of a mixed problem for an elliptic equation in a perforated domain with third boundary condition
    
    Mat. Sb., 186:5 (1995),  127–144
52. The averaging of a mixed problem with an oblique derivative for an elliptic operator in a perforated domain
    
    Differ. Uravn., 30:8 (1994),  1445–1456
53. The well-posedness of a mixed problem with an oblique derivative for the wave operator
    
    Differ. Uravn., 29:8 (1993),  1415–1424
54. On the continuation of microlocal smoothness of solutions of boundary value problems for a second-order hyperbolic equation
    
    Differ. Uravn., 26:4 (1990),  692–699
55. On the loss of smoothness of the solution of a mixed problem with an oblique derivative for the wave operator
    
    Differ. Uravn., 26:3 (1990),  478–488
56. Some questions concerning the well-posedness of a mixed problem with an oblique derivative for a strictly hyperbolic operator
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1984, no. 4,  38–42
57. On the well-posedness of the mixed problem for a strictly hyperbolic operator with a singular directional derivative
    
    Uspekhi Mat. Nauk, 36:6(222) (1981),  223–224
58. On the well-posedness of a mixed boundary-value problem for a hyperbolic equation
    
    Uspekhi Mat. Nauk, 36:5(221) (1981),  187–188
59. Averaging of boundary problems in perforated domains
    
    Uspekhi Mat. Nauk, 34:4(208) (1979),  205–206


60. Vasilii Vasil'evich Zhikov (obituary)
    
    Uspekhi Mat. Nauk, 73:3(441) (2018),  169–176