For selfadjoint elliptic operators in divergence form with ε-periodic coefficients of even order 2m ≥ 4 we approximate the resolvent in the energy operator norm \( {\left\Vert \bullet \right\Vert}_{L^2\to {H}^m} \) with a remainder of order ε2 as ε → 0.
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Translated from Problemy Matematicheskogo Analiza 115, 2022, pp. 73-86.
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Pastukhova, S.E. Improved Approximations of Resolvents in Homogenization of Higher Order Operators. The Selfadjoint Case. J Math Sci 262, 312–328 (2022). https://doi.org/10.1007/s10958-022-05819-7
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DOI: https://doi.org/10.1007/s10958-022-05819-7