Some estimates from homogenized elasticity problems

被引：23
|
作者：
Pastukhova, S. E. [1 ]
机构：
[1] Moscow Tech Univ, Moscow State Inst Radio Engn Elect & Automat, Moscow 117454, Russia
来源：
DOKLADY MATHEMATICS | 2006年 / 73卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
Elasticity Problem; Homogenize Elasticity; Homogenize Elasticity Problem;
D O I：
10.1134/S1064562406010285
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
L2- and H1-estimates for elasticity problems were studied in the whole space or a bounded domain, including perforated ones. Various spaces of vector functions were employed, but they are frequently denoted as usual scalar spaces. An elasticity system in the whole space was analyzed in vector form as a function of measurable periodic elasticity tensor that satisfies the usual symmetry conditions and the ellipticity condition. The analysis showed that there exists a substantial difference between scalar and elasticity problems with respect to the approximation theory.
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页码：102 / 106
页数：5
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