M. A. Pakhnin, T. A. Suslina, “Operator error estimates for homogenization of the elliptic Dirichlet problem in a bounded domain”, Algebra i Analiz, 24:6 (2012), 139–177; St. Petersburg Math. J., 24:6 (2013), 949

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Algebra i Analiz, 2012, Volume 24, Issue 6, Pages 139–177 (Mi aa1312)

This article is cited in 36 scientific papers (total in 36 papers)

Research Papers

Operator error estimates for homogenization of the elliptic Dirichlet problem in a bounded domain

M. A. Pakhnin, T. A. Suslina

St. Petersburg State University, Faculty of Physics, St. Petersburg, Russia

Full-text PDF (409 kB) Citations (36)

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Received: 02.07.2012

English version:
St. Petersburg Mathematical Journal, 2013, Volume 24, Issue 6, Pages 949–976
DOI: https://doi.org/10.1090/S1061-0022-2013-01274-X

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: M. A. Pakhnin, T. A. Suslina, “Operator error estimates for homogenization of the elliptic Dirichlet problem in a bounded domain”, Algebra i Analiz, 24:6 (2012), 139–177; St. Petersburg Math. J., 24:6 (2013), 949–976

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/aa1312

https://www.mathnet.ru/eng/aa/v24/i6/p139

This publication is cited in the following 36 articles:

Kirill Cherednichenko, Alexander V. Kiselev, Igor Velčić, Josip Žubrinić, “Effective Behaviour of Critical-Contrast PDEs: Micro-Resonances, Frequency Conversion, and Time Dispersive Properties. II”, Commun. Math. Phys., 406:4 (2025)
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
T. A. Suslina, “Operator-theoretic approach to the homogenization of Schrödinger-type equations with periodic coefficients”, Russian Math. Surveys, 78:6 (2023), 1023–1154
Willi Jäger, Antoine Tambue, Jean Louis Woukeng, “Approximation of homogenized coefficients in deterministic homogenization and convergence rates in the asymptotic almost periodic setting”, Anal. Appl., 21:05 (2023), 1311
N. N. Senik, “On Homogenization for Piecewise Locally Periodic Operators”, Russ. J. Math. Phys., 30:2 (2023), 270
V. A. Sloushch, T. A. Suslina, “Operator estimates for homogenization of higher-order elliptic operators with periodic coefficients”, St. Petersburg Math. J., 35:2 (2024), 327–375
Meshkova Yu.M., “On Operator Error Estimates For Homogenization of Hyperbolic Systems With Periodic Coefficients”, J. Spectr. Theory, 11:2 (2021), 587–660
N. N. Senik, “On homogenization for locally periodic elliptic and parabolic operators”, Funct. Anal. Appl., 54:1 (2020), 68–72
M. A. Dorodnyi, T. A. Suslina, “Homogenization of the hyperbolic equations with periodic coefficients in ${\mathbb R}^d$ : Sharpness of the results”, St. Petersburg Math. J., 32:4 (2021), 605–703
Meshkova Yu.M., “On Homogenization of the First Initial-Boundary Value Problem For Periodic Hyperbolic Systems”, Appl. Anal., 99:9 (2020), 1528–1563
Suslina T.A., “Homogenization of Higher-Order Parabolic Systems in a Bounded Domain”, Appl. Anal., 98:1-2, SI (2019), 3–31
Wang J., Zhao J., “Convergence Rates of Nonlinear Stokes Problems in Homogenization”, Bound. Value Probl., 2019, UNSP 96
Suslina T.A., “Homogenization of the Stationary Maxwell System With Periodic Coefficients in a Bounded Domain”, Arch. Ration. Mech. Anal., 234:2 (2019), 453–507
Zhao J., Wang J., “Convergence Rates in Homogenization of P-Laplace Equations”, Bound. Value Probl., 2019:1 (2019), 143
Zhao J., Wang J., “Homogenization of Nonlinear Equations With Mixed Boundary Conditions”, J. Math. Phys., 60:8 (2019), 081512
Jie Zhao, Juan Wang, “Convergence Rates in Homogenization of the Mixed Boundary Value Problems”, Mathematical Problems in Engineering, 2019 (2019), 1
Sh. Gu, “Convergence rates of Neumann problems for Stokes systems”, J. Math. Anal. Appl., 457:1 (2018), 305–321
W. Niu, Zh. Shen, Ya. Xu, “Convergence rates and interior estimates in homogenization of higher order elliptic systems”, J. Funct. Anal., 274:8 (2018), 2356–2398
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
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

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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