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Found 27 Documents (Results 1–27)

Homogenization of hyperbolic equations with periodic coefficients in \(\mathbb{R}^d\): sharpness of the results. (English. Russian original) Zbl 1471.35023

St. Petersbg. Math. J. 32, No. 4, 605-703 (2021); translation from Algebra Anal. 32, No. 4, 3-136 (2020).
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Homogenization and two-scale convergence in the Sobolev space with an oscillating exponent. (English. Russian original) Zbl 1415.35030

St. Petersbg. Math. J. 30, No. 2, 231-251 (2019); translation from Algebra Anal. 30, No. 2, 114-144 (2018).
MSC:  35B27 46E35
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Homogenization of the first initial boundary-value problem for parabolic systems: operator error estimates. (English. Russian original) Zbl 1404.35028

St. Petersbg. Math. J. 29, No. 6, 935-978 (2018); translation from Algebra Anal. 29, No. 6, 99-158 (2017).
MSC:  35B27 35K51
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Homogenization of high order elliptic operators with periodic coefficients. (English. Russian original) Zbl 1357.35031

St. Petersbg. Math. J. 28, No. 1, 65-108 (2017); translation from Algebra Anal. 28, No. 1, 89-149 (2016).
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Homogenization of elliptic systems with periodic coefficients: operator error estimates in \(L_{2}(\mathbb{R}^{d})\) with corrector taken into account. (English. Russian original) Zbl 1316.35024

St. Petersbg. Math. J. 26, No. 4, 643-693 (2015); translation from Algebra Anal. 26, No. 4, 195-263 (2014).
MSC:  35B27 35J47 35J10
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Operator error estimates for homogenization of the elliptic Dirichlet problem in a bounded domain. (English) Zbl 1280.35010

St. Petersbg. Math. J. 24, No. 6, 949-976 (2013); translation from Algebra Anal. 24, No. 6, 139-177 (2012).
MSC:  35B27 35J25 35B45
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Homogenization of parabolic and elliptic periodic operators in \(L_2(\mathbb R^d)\) with the first and second correctors taken into account. (English. Russian original) Zbl 1276.35027

St. Petersbg. Math. J. 24, No. 2, 185-261 (2013); translation from Algebra Anal. 24, No. 2, 1-103 (2012).
MSC:  35B27
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Homogenization in the Sobolev class \(H^1(\mathbb R^d)\) for second order periodic elliptic operators with the inclusion of first order terms. (English. Russian original) Zbl 1223.35048

St. Petersbg. Math. J. 22, No. 1, 81-162 (2011); translation from Algebra Anal. 22, No. 1, 108-122 (2010).
MSC:  35B27 35J15
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Homogenization of the mixed boundary-value problem for a formally selfadjoint elliptic system in a periodically perforated domain. (English. Russian original) Zbl 1200.35100

St. Petersbg. Math. J. 21, No. 4, 601-634 (2010); translation from Algebra Anal. 21, No. 4, 126-173 (2009).
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Operator error estimates in the homogenization problem for nonstationary periodic equations. (English. Russian original) Zbl 1206.35028

St. Petersbg. Math. J. 20, No. 6, 873-928 (2009); translation from Algebra Anal. 20, No. 6, 30-107 (2008).
MSC:  35B27 47F05
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Homogenization with corrector for periodic differential operators. Approximation of solutions in the Sobolev class \(H^1({\mathbb{R}}^d)\). (English. Russian original) Zbl 1153.35012

St. Petersbg. Math. J. 18, No. 6, 857-955 (2007); translation from Algebra Anal. 18, No. 6, 1-130 (2006).
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Homogenization of elliptic systems with periodic coefficients: weighted \(L^p\) and \(L^{\infty}\) estimates for asymptotic remainders. (English. Russian original) Zbl 1135.35016

St. Petersbg. Math. J. 18, No. 2, 269-304 (2007); translation from Algebra Anal. 18, No. 2, 117-166 (2006).
MSC:  35B27 35A08 35J55 74Q05
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Homogenization with corrector term for periodic elliptic differential operators. (English) Zbl 1175.35007

St. Petersbg. Math. J. 17, No. 6, 897-973 (2006); translation from Algebra Anal. 17, No. 6, 1-104 (2005).
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