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Algebra i Analiz, 2015, Volume 27, Issue 4, Pages 87–166 (Mi aa1452)  

This article is cited in 21 scientific papers (total in 21 papers)

Research Papers

Homogenization of elliptic operators with periodic coefficients depending on the spectral parameter

T. A. Suslina

St. Petersburg State University, Faculty of Physics, St. Petersburg, Russia
References:
Received: 10.12.2014
English version:
St. Petersburg Mathematical Journal, 2016, Volume 27, Issue 4, Pages 651–708
DOI: https://doi.org/10.1090/spmj/1412
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: T. A. Suslina, “Homogenization of elliptic operators with periodic coefficients depending on the spectral parameter”, Algebra i Analiz, 27:4 (2015), 87–166; St. Petersburg Math. J., 27:4 (2016), 651–708
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/aa1452
  • https://www.mathnet.ru/eng/aa/v27/i4/p87
  • This publication is cited in the following 21 articles:
    1. T. A. Suslina, “Homogenization of elliptic and parabolic equations with periodic coefficients in a bounded domain under the Neumann condition”, Izv. Math., 88:4 (2024), 678–759  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. I. Y. Popov, E. S. Trifanova, A. S. Bagmutov, I. V. Blinova, “Barrier composed of perforated resonators and boundary conditions”, Eurasian Math. J., 15:3 (2024), 68–76  mathnet  crossref
    3. T. A. Suslina, “Operator-theoretic approach to the homogenization of Schrödinger-type equations with periodic coefficients”, Russian Math. Surveys, 78:6 (2023), 1023–1154  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    4. Wei Wang, “Uniform estimates of resolvents in homogenization theory of elliptic systems”, Journal of Differential Equations, 370 (2023), 1  crossref
    5. Wei Wang, “Uniform Estimates of Resolvents in Homogenization Theory of Elliptic Systems”, 2023  crossref
    6. A. A. Miloslova, T. A. Suslina, “Homogenization of the Higher-Order Parabolic Equations with Periodic Coefficients”, J Math Sci, 277:6 (2023), 959  crossref
    7. Meshkova Yu., “Note on Quantitative Homogenization Results For Parabolic Systems in R-D”, J. Evol. Equ., 21:1 (2021), 763–769  crossref  mathscinet  isi  scopus
    8. A. A. Miloslova, T. A. Suslina, “Usrednenie parabolicheskikh uravnenii vysokogo poryadka s periodicheskimi koeffitsientami”, Differentsialnye uravneniya s chastnymi proizvodnymi, SMFN, 67, no. 1, Rossiiskii universitet druzhby narodov, M., 2021, 130–191  mathnet  crossref
    9. N. N. Senik, “On homogenization for locally periodic elliptic and parabolic operators”, Funct. Anal. Appl., 54:1 (2020), 68–72  mathnet  crossref  crossref  mathscinet  isi  elib
    10. T. A. Suslina, “Homogenization of higher-order parabolic systems in a bounded domain”, Appl. Anal., 98:1-2, SI (2019), 3–31  crossref  mathscinet  zmath  isi  scopus
    11. T. A. Suslina, “Homogenization of the stationary Maxwell system with periodic coefficients in a bounded domain”, Arch. Ration. Mech. Anal., 234:2 (2019), 453–507  crossref  mathscinet  zmath  isi  scopus
    12. R. Chill, A. F. M. Elst, “Weak and strong approximation of semigroups on Hilbert spaces”, Integr. Equ. Oper. Theory, 90:1 (2018), 9  crossref  mathscinet  isi  scopus
    13. T. A. Suslina, “Homogenization of the Neumann problem for higher order elliptic equations with periodic coefficients”, Complex Var. Elliptic Equ., 63:7-8, SI (2018), 1185–1215  crossref  mathscinet  zmath  isi  scopus
    14. T. A. Suslina, “Homogenization of a stationary periodic Maxwell system in a bounded domain with constant magnetic permeability”, St. Petersburg Math. J., 30:3 (2019), 515–544  mathnet  crossref  mathscinet  isi  elib
    15. Khrabustovskyi A. Post O., “Operator Estimates For the Crushed Ice Problem”, Asymptotic Anal., 110:3-4 (2018), 137–161  crossref  mathscinet  isi
    16. T. A. Suslina, “Homogenization of the Dirichlet problem for higher-order elliptic equations with periodic coefficients”, St. Petersburg Math. J., 29:2 (2018), 325–362  mathnet  crossref  isi  elib
    17. Yu. M. Meshkova, T. A. Suslina, “Homogenization of the Dirichlet problem for elliptic and parabolic systems with periodic coefficients”, Funct. Anal. Appl., 51:3 (2017), 230–235  mathnet  crossref  crossref  isi  elib
    18. Yu. M. Meshkova, T. A. Suslina, “Homogenization of the first initial boundary value problem for parabolic systems: Operator error estimates”, St. Petersburg Math. J., 29:6 (2018), 935–978  mathnet  crossref  mathscinet  isi  elib
    19. A. A. Kukushkin, T. A. Suslina, “Homogenization of high order elliptic operators with periodic coefficients”, St. Petersburg Math. J., 28:1 (2017), 65–108  mathnet  crossref  mathscinet  isi  elib
    20. Meshkova Yu.M., Suslina T.A., “Two-parametric error estimates in homogenization of second-order elliptic systems in Rd”, Appl. Anal., 95:7, SI (2016), 1413–1448  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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    Алгебра и анализ St. Petersburg Mathematical Journal
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