ASYMPTOTICS FOR THE SOLUTIONS OF ELLIPTIC SYSTEMS WITH RAPIDLY OSCILLATING COEFFICIENTS

被引：25

作者：

Borisov, D. ^{[1
,2
]}

机构：

[1] Acad Sci Czech Republ, Inst Nucl Phys, CZ-25068 Rez, Czech Republic

[2] Bashkir State Pedag Univ, Ufa 450000, Russia

来源：

ST PETERSBURG MATHEMATICAL JOURNAL | 2009年 / 20卷 / 02期

关键词：

Homogenization of differentiable operators; unbounded domain; fast and slow variables;

D O I：

10.1090/S1061-0022-09-01043-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A singularly perturbed second order elliptic system in the entire space is treated. The coefficients of the systems oscillate rapidly and depend on both slow and fast variables. The homogenized operator is obtained and, in the uniform norm sense, the leading terms of the asymptotic expansion are constructed for the resolvent of the operator described by the system. The convergence of the spectrum is established, and examples are given.

引用

页码：175 / 191

页数：17

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