Abstract:
For elliptic divergent self-adjoint second-order
operators with $\varepsilon$-periodic measurable coefficients acting on the whole space $\mathbb{R}^d$,
resolvent approximations in the operator norm $\|\!\,\boldsymbol\cdot\,\!\|_{H^1\to H^1}$
with remainder of order $\varepsilon^2$ as $\varepsilon\to 0$ are found by the method of two-scale expansions with the use of smoothing.
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