WEAK VECTOR AND SCALAR POTENTIALS: APPLICATIONS TO POINCARE'S THEOREM AND KORN'S INEQUALITY IN SOBOLEV SPACES WITH NEGATIVE EXPONENTS

被引：11

作者：

Amrouche, Cherif ^{[1
]}

Ciarlet, Philippe G. ^{[2
]}

Ciarlet, Patrick, Jr. ^{[3
]}

机构：

[1] Univ Pau & Pays Adour, IPRA, CNRS, Lab Math Appl,UMR 5142, F-64000 Pau, France

[2] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China

[3] Ecole Normale Super Tech Avancees, Lab POEMS, CNRS, ENSTA,INRIA,UMR 7231, F-75739 Paris 15, France

来源：

ANALYSIS AND APPLICATIONS | 2010年 / 8卷 / 01期

关键词：

Poincare's theorem; Korn's inequality;

D O I：

10.1142/S0219530510001497

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present several results concerning vector potentials and scalar potentials with data in Sobolev spaces with negative exponents, in a not necessarily simply-connected, three-dimensional domain. We then apply these results to Poincare's theorem and to Korn's inequality.

引用

页码：1 / 17

页数：17

共 14 条

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[2]

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[3]

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[4]

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Ciarlet, Philippe G. ;

Ciarlet, Patrick, Jr. ;

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COMPTES RENDUS MATHEMATIQUE, 2007, 344 (05) :305-308

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