On Operator Estimates of the Homogenization of Higher-Order Elliptic Systems

被引：0

作者：

Pastukhova, S. E. ^{[1
]}

机构：

[1] MIREA Russian Technol Univ, Moscow 119454, Russia

来源：

MATHEMATICAL NOTES | 2023年 / 114卷 / 3-4期

关键词：

homogenization; approximation to the resolvent; higher-order elliptic system;

D O I：

10.1134/S0001434623090055

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the space R-d, we consider matrix elliptic operators L(epsilon )of arbitrary even order 2m >= 4 with measurable epsilon-periodic coefficients, where epsilon is a small parameter. We construct an approximation to the resolvent of this operator with an error of the order of epsilon(2) in the operator (L-2 -> L-2)-norm.

引用

页码：322 / 338

页数：17

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