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Introduction to the Theory of Two-Scale Convergence

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Basic properties of weak and strong two-scale convergence are established for Lebesgue and Sobolev spaces, in particular, those with periodic measures depending on a small parameter. These results are applied to the homogenization of elliptic operators and spectral problems.

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Authors and Affiliations

  1. Vladimir State University for the Humanities, Vladimir, Russia

    V. V. Zhikov & G. A. Yosifian

Authors
  1. V. V. Zhikov
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  2. G. A. Yosifian
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Correspondence to V. V. Zhikov.

Additional information

Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 29, Part II, pp. 281–332, 2013.

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Zhikov, V.V., Yosifian, G.A. Introduction to the Theory of Two-Scale Convergence. J Math Sci 197, 325–357 (2014). https://doi.org/10.1007/s10958-014-1717-2

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