E. S. Vasilevskaya, T. A. Suslina, “Threshold approximations of a factorized selfadjoint operator family with the first and the second correctors taken into account”, Algebra i Analiz, 23:2 (2011), 102–146; St. Petersburg Math. J., 23:2 (2012), 275

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Algebra i Analiz, 2011, Volume 23, Issue 2, Pages 102–146 (Mi aa1236)

This article is cited in 13 scientific papers (total in 13 papers)

Research Papers

Threshold approximations of a factorized selfadjoint operator family with the first and the second correctors taken into account

E. S. Vasilevskaya, T. A. Suslina

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

Full-text PDF (379 kB) Citations (13)

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Received: 30.06.2010

English version:
St. Petersburg Mathematical Journal, 2012, Volume 23, Issue 2, Pages 275–308
DOI: https://doi.org/10.1090/S1061-0022-2012-01197-0

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: E. S. Vasilevskaya, T. A. Suslina, “Threshold approximations of a factorized selfadjoint operator family with the first and the second correctors taken into account”, Algebra i Analiz, 23:2 (2011), 102–146; St. Petersburg Math. J., 23:2 (2012), 275–308

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/aa1236

https://www.mathnet.ru/eng/aa/v23/i2/p102

This publication is cited in the following 13 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
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., “Operator Error Estimates For Homogenization of the Nonstationary Schrodinger-Type Equations: Sharpness of the Results”, Appl. Anal., 2021
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
V. V. Zhikov, S. E. Pastukhova, “Asimptotika fundamentalnogo resheniya dlya uravneniya diffuzii v periodicheskoi srede na bolshikh vremenakh i ee primenenie k otsenkam teorii usredneniya”, Trudy Krymskoi osennei matematicheskoi shkoly-simpoziuma, SMFN, 63, no. 2, Rossiiskii universitet druzhby narodov, M., 2017, 223–246
Cardone G., “Waveguides With Fast Oscillating Boundary”, Nanosyst.-Phys. Chem. Math., 8:2 (2017), 160–165
S. E. Pastukhova, “Approximations of the Resolvent for a Non–Self-Adjoint Diffusion Operator with Rapidly Oscillating Coefficients”, Math. Notes, 94:1 (2013), 127–145
Yu. M. Meshkova, “Homogenization of the Cauchy problem for parabolic systems with periodic coefficients”, St. Petersburg Math. J., 25:6 (2014), 981–1019
Borisov D. Cardone G. Faella L. Perugia C., “Uniform Resolvent Convergence for Strip with Fast Oscillating Boundary”, J. Differ. Equ., 255:12 (2013), 4378–4402
Cardone G. Pastukhova S.E. Perugia C., “Estimates in Homogenization of Degenerate Elliptic Equations by Spectral Method”, Asymptotic Anal., 81:3-4 (2013), 189–209
E. S. Vasilevskaya, T. A. Suslina, “Homogenization of parabolic and elliptic periodic operators in $L_2(\mathbb R^d)$ with the first and second correctors taken into account”, St. Petersburg Math. J., 24:2 (2013), 185–261

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

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