Pastukhova, S. E. Improved resolvent \(L^2\)-approximations in homogenization of fourth order operators. (English. Russian original) Zbl 1519.35019 St. Petersbg. Math. J. 34, No. 4, 611-634 (2023); translation from Algebra Anal. 34, No. 4, 74-106 (2022). MSC: 35B27 35B45 35J30 PDFBibTeX XMLCite \textit{S. E. Pastukhova}, St. Petersbg. Math. J. 34, No. 4, 611--634 (2023; Zbl 1519.35019); translation from Algebra Anal. 34, No. 4, 74--106 (2022) Full Text: DOI
Dorodnyi, M. A.; Suslina, T. A. 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). MSC: 35B27 35B45 35J15 35L15 74Q10 PDFBibTeX XMLCite \textit{M. A. Dorodnyi} and \textit{T. A. Suslina}, St. Petersbg. Math. J. 32, No. 4, 605--703 (2021; Zbl 1471.35023); translation from Algebra Anal. 32, No. 4, 3--136 (2020) Full Text: DOI arXiv
Dorodnyĭ, M. A. Homogenization of periodic Schrödinger-type equations, with lower order terms. (English. Russian original) Zbl 1454.35017 St. Petersbg. Math. J. 31, No. 6, 1001-1054 (2020); translation from Algebra Anal. 31, No. 6, 122-196 (2019). Reviewer: Paolo Musolino (Padova) MSC: 35B27 35J10 35Q41 PDFBibTeX XMLCite \textit{M. A. Dorodnyĭ}, St. Petersbg. Math. J. 31, No. 6, 1001--1054 (2020; Zbl 1454.35017); translation from Algebra Anal. 31, No. 6, 122--196 (2019) Full Text: DOI
Meshkova, Yu. M. Homogenization of periodic parabolic systems in the \(L_2(\mathbb{R}^d)\)-norm with the corrector taken into account. (English. Russian original) Zbl 1442.35021 St. Petersbg. Math. J. 31, No. 4, 675-718 (2020); translation from Algebra Anal. 31, No. 4, 137-197 (2019). MSC: 35B27 35K45 PDFBibTeX XMLCite \textit{Yu. M. Meshkova}, St. Petersbg. Math. J. 31, No. 4, 675--718 (2020; Zbl 1442.35021); translation from Algebra Anal. 31, No. 4, 137--197 (2019) Full Text: DOI arXiv
Zhikov, V. V.; Pastukhova, S. E. 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). Reviewer: Paolo Musolino (Padova) MSC: 35B27 46E35 PDFBibTeX XMLCite \textit{V. V. Zhikov} and \textit{S. E. Pastukhova}, St. Petersbg. Math. J. 30, No. 2, 231--251 (2019; Zbl 1415.35030); translation from Algebra Anal. 30, No. 2, 114--144 (2018) Full Text: DOI
Meshkova, Yu. M.; Suslina, T. A. 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). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 35K51 PDFBibTeX XMLCite \textit{Yu. M. Meshkova} and \textit{T. A. Suslina}, St. Petersbg. Math. J. 29, No. 6, 935--978 (2018; Zbl 1404.35028); translation from Algebra Anal. 29, No. 6, 99--158 (2017) Full Text: DOI arXiv
Suslina, T. A. Homogenization of the Dirichlet problem for higher-order elliptic equations with periodic coefficients. (English. Russian original) Zbl 1394.35031 St. Petersbg. Math. J. 29, No. 2, 325-362 (2018); translation from Algebra Anal. 29, No. 2, 139-192 (2017). MSC: 35B27 35J25 35B45 PDFBibTeX XMLCite \textit{T. A. Suslina}, St. Petersbg. Math. J. 29, No. 2, 325--362 (2018; Zbl 1394.35031); translation from Algebra Anal. 29, No. 2, 139--192 (2017) Full Text: DOI
Pastukhova, S. E. Operator error estimates for homogenization of fourth order elliptic equations. (English. Russian original) Zbl 1361.35023 St. Petersbg. Math. J. 28, No. 2, 273-289 (2017); translation from Algebra Anal. 28, No. 2, 204-226 (2016). MSC: 35B27 35J40 74K20 PDFBibTeX XMLCite \textit{S. E. Pastukhova}, St. Petersbg. Math. J. 28, No. 2, 273--289 (2017; Zbl 1361.35023); translation from Algebra Anal. 28, No. 2, 204--226 (2016) Full Text: DOI
Kukushkin, A. A.; Suslina, T. A. 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). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 35J48 47A10 47F05 PDFBibTeX XMLCite \textit{A. A. Kukushkin} and \textit{T. A. Suslina}, St. Petersbg. Math. J. 28, No. 1, 65--108 (2017; Zbl 1357.35031); translation from Algebra Anal. 28, No. 1, 89--149 (2016) Full Text: DOI arXiv
Suslina, T. A. Homogenization of elliptic operators with periodic coefficients in dependence of the spectral parameter. (English. Russian original) Zbl 1338.35030 St. Petersbg. Math. J. 27, No. 4, 651-708 (2016); translation from Algebra Anal. 27, No. 4, 87-166 (2015). MSC: 35B27 PDFBibTeX XMLCite \textit{T. A. Suslina}, St. Petersbg. Math. J. 27, No. 4, 651--708 (2016; Zbl 1338.35030); translation from Algebra Anal. 27, No. 4, 87--166 (2015) Full Text: DOI
Suslina, Tatiana Aleksandrovna 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 PDFBibTeX XMLCite \textit{T. A. Suslina}, St. Petersbg. Math. J. 26, No. 4, 643--693 (2015; Zbl 1316.35024); translation from Algebra Anal. 26, No. 4, 195--263 (2014) Full Text: DOI
Meshkova, Yu. M. Homogenization of the Cauchy problem for parabolic systems with periodic coefficients. (English. Russian original) Zbl 1304.35064 St. Petersbg. Math. J. 25, No. 6, 981-1019 (2014); translation from Algebra Anal. 25, No. 6, 125-177 (2013). MSC: 35B27 35K45 PDFBibTeX XMLCite \textit{Yu. M. Meshkova}, St. Petersbg. Math. J. 25, No. 6, 981--1019 (2014; Zbl 1304.35064); translation from Algebra Anal. 25, No. 6, 125--177 (2013) Full Text: DOI
Senik, N. N. Homogenization for a periodic elliptic operator in a strip with various boundary conditions. (English. Russian original) Zbl 1304.35069 St. Petersbg. Math. J. 25, No. 4, 647-697 (2014); translation from Algebra Anal. 25, No. 4, 182-259 (2013). MSC: 35B27 35J25 PDFBibTeX XMLCite \textit{N. N. Senik}, St. Petersbg. Math. J. 25, No. 4, 647--697 (2014; Zbl 1304.35069); translation from Algebra Anal. 25, No. 4, 182--259 (2013) Full Text: DOI
Pakhnin, M. A.; Suslina, T. A. 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). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 35J25 35B45 PDFBibTeX XMLCite \textit{M. A. Pakhnin} and \textit{T. A. Suslina}, St. Petersbg. Math. J. 24, No. 6, 949--976 (2013; Zbl 1280.35010); translation from Algebra Anal. 24, No. 6, 139--177 (2012) Full Text: DOI arXiv
Vasilevskaya, E. S.; Suslina, T. A. 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). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 PDFBibTeX XMLCite \textit{E. S. Vasilevskaya} and \textit{T. A. Suslina}, St. Petersbg. Math. J. 24, No. 2, 185--261 (2013; Zbl 1276.35027); translation from Algebra Anal. 24, No. 2, 1--103 (2012) Full Text: DOI
Veniaminov, N. Homogenization of periodic differential operators of high order. (English. Russian original) Zbl 1228.35031 St. Petersbg. Math. J. 22, No. 5, 751-775 (2011); translation from Algebra Anal. 22, No. 5, 69-103 (2005). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 PDFBibTeX XMLCite \textit{N. Veniaminov}, St. Petersbg. Math. J. 22, No. 5, 751--775 (2011; Zbl 1228.35031); translation from Algebra Anal. 22, No. 5, 69--103 (2005) Full Text: DOI
Suslina, T. A. 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). Reviewer: Fabio Paronetto (Padova) MSC: 35B27 35J15 PDFBibTeX XMLCite \textit{T. A. Suslina}, St. Petersbg. Math. J. 22, No. 1, 81--162 (2011; Zbl 1223.35048); translation from Algebra Anal. 22, No. 1, 108--122 (2010) Full Text: DOI
Cardone, G.; Corbo Esposito, A.; Nazarov, S. A. 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). Reviewer: Sergei V. Rogosin (Minsk) MSC: 35B27 35Q74 74Q05 35J57 PDFBibTeX XMLCite \textit{G. Cardone} et al., St. Petersbg. Math. J. 21, No. 4, 601--634 (2010; Zbl 1200.35100); translation from Algebra Anal. 21, No. 4, 126--173 (2009) Full Text: DOI
Vasilevskaya, E. S. A periodic parabolic Cauchy problem: homogenization with corrector. (English. Russian original) Zbl 1203.35027 St. Petersbg. Math. J. 21, No. 1, 1-41 (2010); translation from Algebra Anal. 21, No. 1, 3-60 (2009). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 35K15 PDFBibTeX XMLCite \textit{E. S. Vasilevskaya}, St. Petersbg. Math. J. 21, No. 1, 1--41 (2010; Zbl 1203.35027); translation from Algebra Anal. 21, No. 1, 3--60 (2009) Full Text: DOI
Birman, M. Sh.; Suslina, T. A. 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 PDFBibTeX XMLCite \textit{M. Sh. Birman} and \textit{T. A. Suslina}, St. Petersbg. Math. J. 20, No. 6, 873--928 (2009; Zbl 1206.35028); translation from Algebra Anal. 20, No. 6, 30--107 (2008) Full Text: DOI
Borisov, D. Asymptotics for the solutions of elliptic systems with rapidly oscillating coefficients. (English. Russian original) Zbl 1206.35029 St. Petersbg. Math. J. 20, No. 2, 175-191 (2009); translation from Algebra Anal. 20, No. 2, 19-42 (2008). MSC: 35B27 35Q74 47F05 74G10 PDFBibTeX XMLCite \textit{D. Borisov}, St. Petersbg. Math. J. 20, No. 2, 175--191 (2009; Zbl 1206.35029); translation from Algebra Anal. 20, No. 2, 19--42 (2008) Full Text: DOI arXiv
Birman, M. Sh.; Suslina, T. A. 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). Reviewer: Fabio Paronetto (Padova) MSC: 35B27 35J15 35B10 35P05 46E35 47F05 PDFBibTeX XMLCite \textit{M. Sh. Birman} and \textit{T. A. Suslina}, St. Petersbg. Math. J. 18, No. 6, 857--955 (2007; Zbl 1153.35012); translation from Algebra Anal. 18, No. 6, 1--130 (2006) Full Text: DOI
Nazarov, S. A. 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). Reviewer: Fabio Paronetto (Lecce) MSC: 35B27 35A08 35J55 74Q05 PDFBibTeX XMLCite \textit{S. A. Nazarov}, St. Petersbg. Math. J. 18, No. 2, 269--304 (2007; Zbl 1135.35016); translation from Algebra Anal. 18, No. 2, 117--166 (2006) Full Text: DOI
Nazarov, S. A.; Slutskiĭ, A. S. Homogenization of an elliptic system under condensing perforation of the domain. (English) Zbl 1178.35051 St. Petersbg. Math. J. 17, No. 6, 989-1014 (2006); translation from Algebra Anal. 17, No. 6, 125-160 (2005). MSC: 35B27 35C20 35J57 74Q05 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{A. S. Slutskiĭ}, St. Petersbg. Math. J. 17, No. 6, 989--1014 (2006; Zbl 1178.35051); translation from Algebra Anal. 17, No. 6, 125--160 (2005) Full Text: DOI
Birman, M. Sh.; Suslina, T. A. 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). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 47F05 35-02 35J99 74Q10 78M40 81Q15 PDFBibTeX XMLCite \textit{M. Sh. Birman} and \textit{T. A. Suslina}, St. Petersbg. Math. J. 17, No. 6, 897--973 (2006; Zbl 1175.35007); translation from Algebra Anal. 17, No. 6, 1--104 (2005) Full Text: DOI
Suslina, T. A. Homogenization of a stationary periodic Maxwell system. (English. Russian original) Zbl 1097.35028 St. Petersbg. Math. J. 16, No. 5, 863-922 (2005); translation from Algebra Anal. 16, No. 5, 162-244 (2004). Reviewer: Marco Codegone (Torino) MSC: 35B27 35Q60 78A02 PDFBibTeX XMLCite \textit{T. A. Suslina}, St. Petersbg. Math. J. 16, No. 5, 863--922 (2005; Zbl 1097.35028); translation from Algebra Anal. 16, No. 5, 162--244 (2004) Full Text: DOI
Suslina, T. A. On homogenization for a periodic elliptic operator in a strip. (English. Russian original) Zbl 1072.35033 St. Petersbg. Math. J. 16, No. 1, 237-257 (2004); translation from Algebra Anal. 16, No. 1, 269-292 (2004). MSC: 35B27 PDFBibTeX XMLCite \textit{T. A. Suslina}, St. Petersbg. Math. J. 16, No. 1, 237--257 (2004; Zbl 1072.35033); translation from Algebra Anal. 16, No. 1, 269--292 (2004) Full Text: DOI