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On Korn’s inequality

✍ Scribed by Philippe G. Ciarlet


Book ID
106578469
Publisher
Coastal and Estuarine Research Federation
Year
2010
Tongue
English
Weight
212 KB
Volume
31
Category
Article
ISSN
1860-6261

No coin nor oath required. For personal study only.


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The first Korn's inequality is extended to unbounded domains and to classes of functions having a singular point. Let B be a regular domain of R 3 and let H(B) be the set of all vector-valued functions on B such that u = 0 on 0B and x7u is square summable over B. As is well-known, the first Korn's