四阶椭圆算子均匀化的近似解

IF 0.8 4区数学 Q2 MATHEMATICS

Sbornik Mathematics Pub Date : 2021-01-01 DOI:10.1070/SM9413

S. Pastukhova

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引用次数: 8

摘要

研究了一类具有快速振荡周期系数的四阶发散椭圆算子的均匀化问题，其中是一个小参数。均质算子是同类型的常系数算子。我们应用Zhikov的移位方法，得到了解与解之差在-算子范数阶上的估计。参考书目:25篇。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Approximation of resolvents in homogenization of fourth-order elliptic operators

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.

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来源期刊

Sbornik Mathematics 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The journal has always maintained the highest scientific level in a wide area of mathematics with special attention to current developments in: Mathematical analysis Ordinary differential equations Partial differential equations Mathematical physics Geometry Algebra Functional analysis