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Title: On two-scale convergence and related sequential compactness topics (English)
Author: Holmbom, Anders
Author: Silfver, Jeanette
Author: Svanstedt, Nils
Author: Wellander, Niklas
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940
Volume: 51
Issue: 3
Year: 2006
Pages: 247-262
Summary lang: English
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Category: math
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Summary: A general concept of two-scale convergence is introduced and two-scale compactness theorems are stated and proved for some classes of sequences of bounded functions in $L^{2}(\Omega )$ involving no periodicity assumptions. Further, the relation to the classical notion of compensated compactness and the recent concepts of two-scale compensated compactness and unfolding is discussed and a defect measure for two-scale convergence is introduced. (English)
Keyword: two-scale convergence
Keyword: compensated compactness
Keyword: two-scale transform
Keyword: unfolding
MSC: 40A30
MSC: 74Q05
idZBL: Zbl 1164.40304
idMR: MR2228665
DOI: 10.1007/s10492-006-0014-x
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Date available: 2009-09-22T18:25:51Z
Last updated: 2015-05-17
Stable URL: http://hdl.handle.net/10338.dmlcz/134639
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