| INEQUALITY OF KORN‘S TYPE ON COMPACT SURFACES WITHOUT BOUNDARY |
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| 作者姓名： | S. MARDARE |
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| 作者单位： | Laboratoire Jacques-Louis |
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| 摘 要： | Inequalities of Korn's type on a surface with boundary have been proved in many papers using different techniques (see e.g. 4, 5, 11]). The author proves here an inequality of Korn's type on a compact surface without boundary. The idea is to use a finite number of maps for defining the surface and the inequality of Korn's type without boundary conditions for every map and to recast these in a general functional analysis setting about quotient spaces.
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| 关 键 词： | Korn型不等式 紧曲面 边界 映射 Sobolev空间 线性弹性壳 Koiter模型 泛函分析 范数 |
| 收稿时间： | 2013/11/2 0:00:00 |
INEQUALITY OF KORN'S TYPE ON COMPACT SURFACES WITHOUT BOUNDARY |
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| S. MARDARE.INEQUALITY OF KORN''S TYPE ON COMPACT SURFACES WITHOUT BOUNDARY[J].Chinese Annals of Mathematics,Series B,2003,24(2):191-204. |
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| Authors: | S MARDARE |
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| Institution: | Laboratoire Jacques-Louis Lions, Universite Pierre et Marie Curie, 4 Place Jussieu, 75005 Paris, France |
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| Abstract: | Inequalities of Korn's type on a surface with boundary have been proved in many papers using different techniques (see e.g. 4, 5, 11]). The author proves here an inequality of Korn's type on a compact surface without boundary. The idea is to use a finite number of maps for defining the surface and the inequality of Korn's type without boundary conditions for every map and to recast these in a general functional analysis setting about quotient spaces. |
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| Keywords: | Inequality of Korn's type Compact surface Sobolev space |
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