Symmetric tensor fields of bounded deformation

被引：12

作者：

Bredies, Kristian ^{[1
]}

机构：

[1] Graz Univ, Inst Math & Sci Comp, A-8010 Graz, Austria

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2013年 / 192卷 / 05期

基金：

奥地利科学基金会;

关键词：

Symmetric tensor fields; Bounded deformation; Sobolev-Korn inequality; Boundary traces; Continuous/compact embeddings;

D O I：

10.1007/s10231-011-0248-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce and study spaces of symmetric tensor fields of bounded deformation for tensors of arbitrary order, i.e., where the symmetrized derivative is still a Radon measure. A Sobolev-Korn type estimate, a boundary trace theorem and continuous as well as compact embedding properties into Lebesgue spaces are obtained, showing that these spaces can be regarded as a natural generalization of the spaces of bounded deformation to higher-order symmetric tensors.

引用

页码：815 / 851

页数：37

共 16 条

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Ambrosio L., 2000, OX MATH M, pxviii, DOI 10.1017/S0024609301309281

[2]

[Anonymous], 1988, CONTACT PROBLEMS ELA

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