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Homogenization estimates of operator type for an elliptic equation with quasiperiodic coefficients

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Abstract

Error estimates for homogenization in L 2- and H 1-norms for an equation with rapidly oscillating quasiperiodic coefficients are studied.

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Authors and Affiliations

  1. Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University), pr. Vernadskogo, 78, 117454, Moscow, Russia

    S. E. Pastukhova

  2. Vladimir State University, Gor’kogo st., 87, 600000, Vladimir, Russia

    V. V. Zhikov

Authors
  1. S. E. Pastukhova
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  2. V. V. Zhikov
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Correspondence to S. E. Pastukhova.

Additional information

This work was financially supported by the Russian Science Foundation (grant no. 14-11-00398).

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Pastukhova, S.E., Zhikov, V.V. Homogenization estimates of operator type for an elliptic equation with quasiperiodic coefficients. Russ. J. Math. Phys. 22, 264–278 (2015). https://doi.org/10.1134/S1061920815020119

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  • DOI: https://doi.org/10.1134/S1061920815020119

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