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Improved Approximations of Resolvent in Homogenization of Higher Order Operators

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For elliptic operators in divergence form with ε-periodic coefficients of an arbitrary even order 2m ≥ 4 we obtain ε2-order approximations of resolvents in the energy operator norm as ε → 0.

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Authors and Affiliations

  1. MIREA, Russian Technological University, 78, pr. Vernadskogo, Moscow, 119454, Russia

    S. E. Pastukhova

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  1. S. E. Pastukhova
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Correspondence to S. E. Pastukhova.

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Translated from Problemy Matematicheskogo Analiza 112, 2021, pp. 105-116.

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Pastukhova, S.E. Improved Approximations of Resolvent in Homogenization of Higher Order Operators. J Math Sci 259, 230–243 (2021). https://doi.org/10.1007/s10958-021-05613-x

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  • DOI: https://doi.org/10.1007/s10958-021-05613-x

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