S. E. Pastukhova, S. V. Tikhomirova, “Elliptic Equation with Nonsymmetric Matrix: Averaging of the “Variational Solutions””, Mat. Zametki, 81:4 (2007), 631–635; Math. Notes, 81:4 (2007), 560

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Matematicheskie Zametki, 2007, Volume 81, Issue 4, Pages 631–635
DOI: https://doi.org/10.4213/mzm3707 (Mi mzm3707)

This article is cited in 10 scientific papers (total in 10 papers)

Brief Communications

Elliptic Equation with Nonsymmetric Matrix: Averaging of the “Variational Solutions”

S. E. Pastukhova^a, S. V. Tikhomirova^b

^a Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University)
^b Vladimir State Pedagogical University

Full-text PDF (305 kB) Citations (10)

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DOI: https://doi.org/10.4213/mzm3707

Keywords: elliptic equation, diffusion equation, skew-symmetric periodic matrix, variational solution, approximation solution, averaging problem, solenoidal vector.

Received: 24.11.2005

English version:
Mathematical Notes, 2007, Volume 81, Issue 4, Pages 560–565
DOI: https://doi.org/10.1134/S0001434607030340

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: S. E. Pastukhova, S. V. Tikhomirova, “Elliptic Equation with Nonsymmetric Matrix: Averaging of the “Variational Solutions””, Mat. Zametki, 81:4 (2007), 631–635; Math. Notes, 81:4 (2007), 560–565

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm3707

https://doi.org/10.4213/mzm3707

https://www.mathnet.ru/eng/mzm/v81/i4/p631

This publication is cited in the following 10 articles:

S. E. Pastukhova, “Resolvent Approximations in L2-Norm for Elliptic Operators Acting in a Perforated Space”, J Math Sci, 265:6 (2022), 1008
S. E. Pastukhova, “L2-Estimates for Homogenization of Diffusion Operators with Unbounded Nonsymmetric Matrices”, J Math Sci, 268:4 (2022), 473
S. E. Pastukhova, “ $L^2$ -approksimatsii rezolventy ellipticheskogo operatora v perforirovannom prostranstve”, Trudy Krymskoi osennei matematicheskoi shkoly-simpoziuma, SMFN, 66, no. 2, Rossiiskii universitet druzhby narodov, M., 2020, 314–334
S. E. Pastukhova, “The Neumann problem for elliptic equations with multiscale coefficients: operator estimates for homogenization”, Sb. Math., 207:3 (2016), 418–443
Pastukhova S.E., “Estimates in homogenization of higher-order elliptic operators”, Appl. Anal., 95:7, SI (2016), 1449–1466
S. E. Pastukhova, “Approximation of the Exponential of a Diffusion Operator with Multiscale Coefficients”, Funct. Anal. Appl., 48:3 (2014), 183–197
S. E. Pastukhova, “The Dirichlet Problem for Elliptic Equations with Multiscale Coefficients. Operator Estimates for Homogenization”, J Math Sci, 193:2 (2013), 283
Pastukhova S., “Estimates in homogenization of parabolic equations with locally periodic coefficients”, Asymptot. Anal., 66:3-4 (2010), 207–228
Pastukhova S. E., Tikhomirov R. N., “Estimates of locally periodic and reiterated homogenization for parabolic equations”, Dokl. Math., 80:2 (2009), 674–678
S. E. Pastukhova, “Operator Estimates in Nonlinear Problems of Reiterated Homogenization”, Proc. Steklov Inst. Math., 261 (2008), 214–228

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

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