caa a22 4500 605522308 CHVBK 20210128100744.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s10958-015-2248-1 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2248-1 On Reiterated Homogenization Identities [Elektronische Daten] [S. Pastukhova, R. Tikhomirov] We study homogenization of linear equations with coefficients oscillating relative to different groups of variables with periods of different smallness order. In this case, the constant effective coefficient matrix is found by successive application of classical homogenization. We construct a two-scale matrix whose effective matrix depends on the order of reiterated homogenizations. Such a dependence is not observed in some simplest cases, for example, if the spatial variable is one-dimensional or the medium has layer structure. Bibliography: 2 titles. Springer Science+Business Media New York, 2015 Pastukhova S. Moscow State Institute of Radio Engineering, Electronics and Automation (Technical University), 78, pr. Vernadskogo, 119454, Moscow, Russia aut Tikhomirov R. Vladimir State University, 87, ul. Gor'kogo, 600000, Vladimir, Russia aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/2(2015-02-01), 297-303 1072-3374 205:2<297 2015 205 10958 https://doi.org/10.1007/s10958-015-2248-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2248-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Pastukhova S. Moscow State Institute of Radio Engineering, Electronics and Automation (Technical University), 78, pr. Vernadskogo, 119454, Moscow, Russia aut NATIONALLICENCE 700 1- Tikhomirov R. Vladimir State University, 87, ul. Gor'kogo, 600000, Vladimir, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/2(2015-02-01), 297-303 1072-3374 205:2<297 2015 205 10958