Yu. M. Meshkova, T. A. Suslina, “Homogenization of the first initial boundary value problem for parabolic systems: Operator error estimates”, Algebra i Analiz, 29:6 (2017), 99–158; St. Petersburg Math. J., 29:6 (2018), 935

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Algebra i Analiz, 2017, Volume 29, Issue 6, Pages 99–158 (Mi aa1563)

This article is cited in 7 scientific papers (total in 7 papers)

Research Papers

Homogenization of the first initial boundary value problem for parabolic systems: Operator error estimates

Yu. M. Meshkova^a, T. A. Suslina^b

^a Chebyshev Laboratory, St. Petersburg State University, St. Petersburg, Russia
^b Faculty of Physics, St. Petersburg State University, St. Petersburg, Russia

Full-text PDF (545 kB) Citations (7)

References:

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Funding agency	Grant number
Russian Foundation for Basic Research	16-01-00087
Gazprom Neft
Dynasty Foundation
Rokhlin Scholarship

Received: 21.07.2017

English version:
St. Petersburg Mathematical Journal, 2018, Volume 29, Issue 6, Pages 935–978
DOI: https://doi.org/10.1090/spmj/1521

Bibliographic databases:

Document Type: Article

MSC: 35B27

Language: Russian

Citation: Yu. M. Meshkova, T. A. Suslina, “Homogenization of the first initial boundary value problem for parabolic systems: Operator error estimates”, Algebra i Analiz, 29:6 (2017), 99–158; St. Petersburg Math. J., 29:6 (2018), 935–978

Citation in format AMSBIB

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\jour St. Petersburg Math. J.

\yr 2018

\vol 29

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\crossref{https://doi.org/10.1090/spmj/1521}

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Linking options:

https://www.mathnet.ru/eng/aa1563

https://www.mathnet.ru/eng/aa/v29/i6/p99

This publication is cited in the following 7 articles:

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
S. E. Pastukhova, “ $L^2$ -otsenki pogreshnosti usredneniya parabolicheskikh uravnenii s uchetom korrektorov”, SMFN, 69, no. 1, Rossiiskii universitet druzhby narodov, M., 2023, 134–151
T. A. Suslina, “Operator-theoretic approach to the homogenization of Schrödinger-type equations with periodic coefficients”, Russian Math. Surveys, 78:6 (2023), 1023–1154
N. N. Senik, “On homogenization for locally periodic elliptic and parabolic operators”, Funct. Anal. Appl., 54:1 (2020), 68–72
Yu. M. Meshkova, “On homogenization of the first initial-boundary value problem for periodic hyperbolic systems”, Appl. Anal., 99:9 (2020), 1528–1563
D. I. Borisov, “Elliptic Operators in Multidimensional Cylinders with Frequently Alternating Boundary Conditions Along a Given Curve”, J Math Sci, 244:3 (2020), 378
Yu. M. Meshkova, “Homogenization of periodic parabolic systems in the $L_2(\mathbb{R}^d)$ -norm with the corrector taken into account”, St. Petersburg Math. J., 31:4 (2020), 675–718

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

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References:	95
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