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Russian Mathematical Surveys, 1979, Volume 34, Issue 5, Pages 69–147
DOI: https://doi.org/10.1070/RM1979v034n05ABEH003898
(Mi rm4116)
 

This article is cited in 157 scientific papers (total in 158 papers)

Averaging and G-convergence of differential operators

V. V. Zhikov, S. M. Kozlov, O. A. Oleinik, Hà Tiên Ngoan
References:
Received: 12.06.1979
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: English
Original paper language: Russian
Citation: V. V. Zhikov, S. M. Kozlov, O. A. Oleinik, Hà Tiên Ngoan, “Averaging and G-convergence of differential operators”, Russian Math. Surveys, 34:5 (1979), 69–147
Citation in format AMSBIB
\Bibitem{ZhiKozOle79}
\by V.~V.~Zhikov, S.~M.~Kozlov, O.~A.~Oleinik, H\`a Ti\^en Ngoan
\paper Averaging and $G$-convergence of~differential operators
\jour Russian Math. Surveys
\yr 1979
\vol 34
\issue 5
\pages 69--147
\mathnet{http://mi.mathnet.ru/eng/rm4116}
\crossref{https://doi.org/10.1070/RM1979v034n05ABEH003898}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=562800}
\zmath{https://zbmath.org/?q=an:0421.35076}
Linking options:
  • https://www.mathnet.ru/eng/rm4116
  • https://doi.org/10.1070/RM1979v034n05ABEH003898
  • https://www.mathnet.ru/eng/rm/v34/i5/p65
    Cycle of papers
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    1. Jun Geng, Bojing Shi, “Quantitative estimates in almost periodic homogenization of parabolic systems”, Calc. Var., 64:1 (2025)  crossref
    2. A. A. Kovalevsky, “Nonlinear Variational Inequalities with Bilateral Constraints Coinciding on a Set of Positive Measure”, Dokl. Math., 2024  crossref
    3. S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Metod osredneniya dlya zadach o kvaziklassicheskikh asimptotikakh”, Funktsionalnye prostranstva. Differentsialnye operatory. Problemy matematicheskogo obrazovaniya, SMFN, 70, no. 1, Rossiiskii universitet druzhby narodov, M., 2024, 53–76  mathnet  crossref
    4. Daniel Fuster, Yassine Mimoh, “Regularization errors introduced by the one-fluid formulation in the solution of two-phase elliptic problems”, Journal of Computational Physics, 514 (2024), 113202  crossref
    5. S. E. Pastukhova, “Improved Homogenization Estimates for Higher-order Elliptic Operators in Energy Norms”, Lobachevskii J Math, 45:7 (2024), 3351  crossref
    6. S. E. Pastukhova, “Error estimates taking account of correctors in homogenization of elliptic operators”, Sb. Math., 215:7 (2024), 932–952  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    7. S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Homogenization Method for Problems on Quasiclassical Asymptotics”, J Math Sci, 2024  crossref
    8. S. E. Pastukhova, “On Operator Estimates of the Homogenization of Higher-Order Elliptic Systems”, Math. Notes, 114:3 (2023), 322–338  mathnet  crossref  crossref  mathscinet
    9. Alexander A. Kovalevsky, “Convergence of Solutions of Nonlinear Elliptic Variational Inequalities with Measurable Bilateral Constraints”, Results Math, 78:4 (2023)  crossref
    10. S. E. Pastukhova, “Improved L2-approximation of resolvents in homogenization of fourth order operators”, St. Petersburg Math. J., 34:4 (2023), 611–634  mathnet  crossref  mathscinet
    11. S. E. Pastukhova, “Improved resolvent approximations in homogenization of second order operators with periodic coefficients”, Funct. Anal. Appl., 56:4 (2022), 310–319  mathnet  crossref  crossref
    12. S. E. Pastukhova, “Improved Approximations of Resolvents in Homogenization of Higher Order Operators. The Selfadjoint Case”, J Math Sci, 262:3 (2022), 312  crossref
    13. S. E. Pastukhova, “Approximations of Resolvents of Second Order Elliptic Operators with Periodic Coefficients”, J Math Sci, 267:3 (2022), 382  crossref
    14. S. A. Rodionov, A. M. Merzlikin, “Effective Refractive Index of 2D Porous Composite Materials”, J. Exp. Theor. Phys., 134:5 (2022), 600  crossref
    15. Maryam Nasimsobhan, Jean-François Ganghoffer, Mahnaz Shamshirsaz, “Construction of piezoelectric and flexoelectric models of composites by asymptotic homogenization and application to laminates”, Mathematics and Mechanics of Solids, 27:4 (2022), 602  crossref
    16. Babou Khady Thiam, Christophe Diédhiou, Ibrahima Faye, Trends in Mathematics, Nonlinear Analysis, Geometry and Applications, 2022, 237  crossref
    17. Alexander A. Kovalevsky, “Nonlinear variational inequalities with variable regular bilateral constraints in variable domains”, Nonlinear Differ. Equ. Appl., 29:6 (2022)  crossref
    18. S. E. Pastukhova, “Approximation of resolvents in homogenization of fourth-order elliptic operators”, Sb. Math., 212:1 (2021), 111–134  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    19. A. A. Kovalevsky, “On the convergence of minimizers and minimum values in variational problems with pointwise functional constraints in variable domains”, Tr. IMM UrO RAN, 27, no. 1, 2021, 246–257  mathnet  crossref
    20. S. E. Pastukhova, “Improved Approximations of Resolvent in Homogenization of Higher Order Operators”, J Math Sci, 259:2 (2021), 230  crossref
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