M. A. Dorodnyi, T. A. Suslina, “Homogenization of the hyperbolic equations with periodic coefficients in ${\mathbb R}^d$: Sharpness of the results”, Algebra i Analiz, 32:4 (2020), 3–136; St. Petersburg Math. J., 32:4 (2021), 605

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Algebra i Analiz, 2020, Volume 32, Issue 4, Pages 3–136 (Mi aa1712)

This article is cited in 11 scientific papers (total in 11 papers)

Expository Surveys

Homogenization of the hyperbolic equations with periodic coefficients in ${\mathbb R}^d$: Sharpness of the results

M. A. Dorodnyi, T. A. Suslina

С.-Петербургский государственный университет, 199034, Университетская наб., д. 7/9, Санкт-Петербург, Россия

Full-text PDF (992 kB) Citations (11)

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Funding agency	Grant number
Russian Science Foundation	17-11-01069

Received: 27.11.2019

English version:
St. Petersburg Mathematical Journal, 2021, Volume 32, Issue 4, Pages 605–703
DOI: https://doi.org/10.1090/spmj/1664

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: M. A. Dorodnyi, T. A. Suslina, “Homogenization of the hyperbolic equations with periodic coefficients in ${\mathbb R}^d$: Sharpness of the results”, Algebra i Analiz, 32:4 (2020), 3–136; St. Petersburg Math. J., 32:4 (2021), 605–703

Citation in format AMSBIB

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\by M.~A.~Dorodnyi, T.~A.~Suslina

\paper Homogenization of the hyperbolic equations with periodic coefficients in ${\mathbb R}^d$: Sharpness of the results

\jour Algebra i Analiz

\yr 2020

\vol 32

\issue 4

\pages 3--136

\mathnet{http://mi.mathnet.ru/aa1712}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4167863}

\transl

\jour St. Petersburg Math. J.

\yr 2021

\vol 32

\issue 4

\pages 605--703

\crossref{https://doi.org/10.1090/spmj/1664}

Linking options:

https://www.mathnet.ru/eng/aa1712

https://www.mathnet.ru/eng/aa/v32/i4/p3

This publication is cited in the following 11 articles:

M. A. Dorodnyi, T. A. Suslina, “Porogovye approksimatsii funktsii ot faktorizovannogo operatornogo semeistva”, Algebra i analiz, 36:1 (2024), 95–161
M. A. Dorodnyi, “High-frequency homogenization of multidimensional hyperbolic equations”, Applicable Analysis, 2024, 1
M. A. Dorodnyi, T. A. Suslina, “Homogenization of hyperbolic equations: operator estimates with correctors taken into account”, Funct. Anal. Appl., 57:4 (2023), 364–370
T. A. Suslina, “Operator-theoretic approach to the homogenization of Schrödinger-type equations with periodic coefficients”, Russian Math. Surveys, 78:6 (2023), 1023–1154
D.I. Borisov, “Homogenization for operators with arbitrary perturbations in coefficients”, Journal of Differential Equations, 369 (2023), 41
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
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
Dorodnyi M.A. Suslina T.A., “Homogenization of a Non-Stationary Periodic Maxwell System in the Case of Constant Permeability”, J. Differ. Equ., 307 (2022), 348–388
T. A. Suslina, “Homogenization of the Schrödinger-type equations: operator estimates with correctors”, Funct. Anal. Appl., 56:3 (2022), 229–234
M. A. Dorodnyi, T. A. Suslina, “Homogenization of nonstationary Maxwell system with constant magnetic permeability”, Funct. Anal. Appl., 55:2 (2021), 159–164
T. A. Suslina, “Homogenization of the Higher-Order Hyperbolic Equations with Periodic Coefficients”, Lobachevskii J Math, 42:14 (2021), 3518

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

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References:	56
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