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.

中文翻译：

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四阶椭圆算子均质化中的近似解算子

我们研究了具有快速振荡周期系数的四阶发散椭圆算子的同质化，其中是一个小参数。同质化算子是同类型的，并且具有常数系数。我们应用Zhikov的转移方法以获得一个估计的顺序-运算符规范的解式的差异和。

参考书目：25 个标题。