Convergence rate in homogenization of elliptic systems with singular perturbations

被引：5

作者：

Niu, Weisheng ^{[1
]}

Yuan, Yue ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2019年 / 60卷 / 11期

关键词：

D O I：

10.1063/1.5124140

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the optimal convergence rate in periodic homogenization of second order elliptic systems involving singular perturbations in bounded domains. By introducing proper auxiliary functions, we establish the sharp convergence rate in L-2(Omega) by using the duality argument. Published under license by AIP Publishing.

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页数：7

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