Zubova, M. N.; Shaposhnikova, T. A. Homogenization limit for the diffusion equation in a domain perforated along \((n - 1)\)-dimensional manifold with dynamic conditions on the boundary of the perforations: critical case. (English. Russian original) Zbl 1428.35031 Dokl. Math. 99, No. 3, 245-251 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 1, 12-19 (2019). MSC: 35B27 35K20 PDFBibTeX XMLCite \textit{M. N. Zubova} and \textit{T. A. Shaposhnikova}, Dokl. Math. 99, No. 3, 245--251 (2019; Zbl 1428.35031); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 1, 12--19 (2019) Full Text: DOI
Brillard, A.; Gómez, D.; Lobo, M.; Pérez, E.; Shaposhnikova, T. A. Boundary homogenization in perforated domains for adsorption problems with an advection term. (English) Zbl 1362.35034 Appl. Anal. 95, No. 7, 1517-1533 (2016). Reviewer: Dan Polisevski (Bucureşti) MSC: 35B27 35B40 35J65 76S05 PDFBibTeX XMLCite \textit{A. Brillard} et al., Appl. Anal. 95, No. 7, 1517--1533 (2016; Zbl 1362.35034) Full Text: DOI
Shaposhnikova, T.; Podolskiy, A. Homogenization limit for the boundary value problem with the \(p\)-Laplace operator and a nonlinear third boundary condition on the boundary of the holes in a perforated domain. (English) Zbl 1408.35005 Funct. Differ. Equ. 19, No. 3-4, 351-370 (2012). MSC: 35B27 35J66 35J60 35J92 35J62 PDFBibTeX XMLCite \textit{T. Shaposhnikova} and \textit{A. Podolskiy}, Funct. Differ. Equ. 19, No. 3--4, 351--370 (2012; Zbl 1408.35005)
Gavrilov, I. A.; Shaposhnikova, T. A. On the convergence of solutions of one boundary value problem for the biharmonic equation in a domain dependent on small parameter \(\varepsilon\). (English) Zbl 1045.35021 Funct. Differ. Equ. 10, No. 1-2, 163-173 (2003). Reviewer: Z. G. Sheftel’ (Göttingen) MSC: 35J40 35B27 PDFBibTeX XMLCite \textit{I. A. Gavrilov} and \textit{T. A. Shaposhnikova}, Funct. Differ. Equ. 10, No. 1--2, 163--173 (2003; Zbl 1045.35021)
Oleinik, Olga A.; Shaposhnikova, Tatiana A. On homogenization of a boundary value problem in a domain with thin channels of a small length. (English) Zbl 1005.35016 Cialdea, Alberto (ed.), Homage to Gaetano Fichera. Rome: Aracne. Quad. Mat. 7, 289-304 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 35B27 35J25 PDFBibTeX XMLCite \textit{O. A. Oleinik} and \textit{T. A. Shaposhnikova}, Quad. Mat. 7, 289--304 (2000; Zbl 1005.35016)
Jäger, W.; Oleinik, O. A.; Shaposhnikova, T. A. Homogenization of solutions of the Poisson equation in a domain perforated along a hypersurface, with mixed boundary conditions on the boundary of the cavities. (English. Russian original) Zbl 0921.35015 Trans. Mosc. Math. Soc. 1998, 135-157 (1998); translation from Tr. Mosk. Mat. O.-va 59, 150-174 (1998). Reviewer: Aleksander Pankov (Vinnitsa) MSC: 35B27 35J25 35B40 35J05 PDFBibTeX XMLCite \textit{W. Jäger} et al., Trans. Mosc. Math. Soc. 1998, 135--157 (1998; Zbl 0921.35015); translation from Tr. Mosk. Mat. O.-va 59, 150--174 (1998)
Olejnik, O. A.; Shaposhnikova, T. A. On homogenization of the mixed boundary value problem for the heat equation in a domain whose part contains channels arranged in a periodic way. (English. Russian original) Zbl 0971.35012 J. Math. Sci., New York 97, No. 3, 4014-4026 (1999); translation from Tr. Semin. Im. I. G. Petrovskogo 20, 27-47 (1997). Reviewer: Ibrahim Aganović (Zagreb) MSC: 35B27 35K05 80M40 PDFBibTeX XMLCite \textit{O. A. Olejnik} and \textit{T. A. Shaposhnikova}, J. Math. Sci., New York 97, No. 3, 4014--4026 (1997; Zbl 0971.35012); translation from Tr. Semin. Im. I. G. Petrovskogo 20, 27--47 (1997)
Oleinik, O. A.; Shaposhnikova, T. A. Averaging of the solutions of the Dirichlet problem in a partly perforated general type domain of nonperiodic structure. (English. Russian original) Zbl 0872.35011 Mosc. Univ. Math. Bull. 50, No. 2, 46-52 (1995); translation from Vestn. Mosk. Univ., Ser. I 1995, No. 2, 49-55 (1995). MSC: 35B27 35J25 PDFBibTeX XMLCite \textit{O. A. Oleinik} and \textit{T. A. Shaposhnikova}, Mosc. Univ. Math. Bull. 50, No. 2, 46--52 (1995; Zbl 0872.35011); translation from Vestn. Mosk. Univ., Ser. I 1995, No. 2, 49--55 (1995)
Shaposhnikova, T. A. Averaging of the mixed problem for a parabolic equation in a perforated domain. (English. Russian original) Zbl 0636.35032 Russ. Math. Surv. 41, No. 4, 185-186 (1986); translation from Usp. Mat. Nauk 41, No. 4(250), 223-224 (1986). Reviewer: T.O.Shaposhnikova MSC: 35K20 35B30 35B40 PDFBibTeX XMLCite \textit{T. A. Shaposhnikova}, Russ. Math. Surv. 41, No. 4, 185--186 (1986; Zbl 0636.35032); translation from Usp. Mat. Nauk 41, No. 4(250), 223--224 (1986) Full Text: DOI