Yu. M. Meshkova, “On the Homogenization of Periodic Hyperbolic Systems”, Mat. Zametki, 105:6 (2019), 937–942; Math. Notes, 105:6 (2019), 929

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Matematicheskie Zametki, 2019, Volume 105, Issue 6, Pages 937–942
DOI: https://doi.org/10.4213/mzm12404 (Mi mzm12404)

This article is cited in 14 scientific papers (total in 14 papers)

Brief Communications

On the Homogenization of Periodic Hyperbolic Systems

Yu. M. Meshkova

Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics

Full-text PDF (391 kB) Citations (14)

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DOI: https://doi.org/10.4213/mzm12404

Keywords: periodic differential operators, hyperbolic systems, homogenization, corrector.

Funding agency	Grant number
Russian Science Foundation	17-11-01069
This work was supported by the Russian Science Foundation under grant 17-11-01069.

Received: 26.11.2018

English version:
Mathematical Notes, 2019, Volume 105, Issue 6, Pages 929–934
DOI: https://doi.org/10.1134/S0001434619050316

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: Yu. M. Meshkova, “On the Homogenization of Periodic Hyperbolic Systems”, Mat. Zametki, 105:6 (2019), 937–942; Math. Notes, 105:6 (2019), 929–934

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Linking options:

https://www.mathnet.ru/eng/mzm12404

https://doi.org/10.4213/mzm12404

https://www.mathnet.ru/eng/mzm/v105/i6/p937

This publication is cited in the following 14 articles:

M. A. Dorodnyi, T. A. Suslina, “Porogovye approksimatsii funktsii ot faktorizovannogo operatornogo semeistva”, Algebra i analiz, 36:1 (2024), 95–161
T. A. Suslina, “Operator-theoretic approach to the homogenization of Schrödinger-type equations with periodic coefficients”, Russian Math. Surveys, 78:6 (2023), 1023–1154
Yu. M. Meshkova, “Variations on the theme of the Trotter-Kato theorem for homogenization of periodic hyperbolic systems”, Russ. J. Math. Phys., 30:4 (2023), 561
K. Cherednichenko, I. Velčić, J. Žubrinić, “Operator-norm resolvent estimates for thin elastic periodically heterogeneous rods in moderate contrast”, Calc. Var., 62:5 (2023), 147
T. A. Suslina, “Threshold approximations for the exponential of a factorized operator family with correctors taken into account”, St. Petersburg Math. J., 35:3 (2024), 537–570
M. A. Dorodnyi, T. A. Suslina, “Homogenization of a non-stationary periodic Maxwell system in the case of constant permeability”, J. Differ. Equ., 307 (2022), 348–388
K. Cherednichenko, S. D'Onofrio, “Operator-norm homogenisation estimates for the system of Maxwell equations on periodic singular structures”, Calc. Var. Partial Differ. Equ., 61:2 (2022), 67
K. Cherednichenko, I. Velcic, “Sharp operator-norm asymptotics for thin elastic plates with rapidly oscillating periodic properties”, J. Lond. Math. Soc.-Second Ser., 105:3 (2022), 1634–1680
Dorodnyi M.A., “Operator Error Estimates For Homogenization of the Nonstationary Schrodinger-Type Equations: Sharpness of the Results”, Appl. Anal., 2021
Yu. M. Meshkova, “On operator error estimates for homogenization of hyperbolic systems with periodic coefficients”, J. Spectr. Theory, 11:2 (2021), 587–660
T. A. Suslina, “Homogenization of the Higher-Order Hyperbolic Equations with Periodic Coefficients”, Lobachevskii J Math, 42:14 (2021), 3518
M. Dorodnyi, T. A. Suslina, “Operator error estimates for homogenization of hyperbolic equations”, Funct. Anal. Appl., 54:1 (2020), 53–58
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
M. A. Dorodnyi, “Homogenization of periodic Schrödinger-type equations, with lower order terms”, St. Petersburg Math. J., 31:6 (2020), 1001–1054

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

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