Approximation of resolvents in homogenization of fourth-order elliptic operators
Svetlana Evgenievna Pastukhova · Sbornik Mathematics · 2020
Abstract We study the homogenization of a fourth-order divergent elliptic operator with rapidly oscillating -periodic coefficients, where is a small parameter. The homogenized operator is of the same type and has constant coefficients. We apply Zhikov’s shift method to obtain an estimate in the -operator norm of order for the difference of the resolvents and . Bibliography: 25 titles.