Geodesic
On two-scale convergence and related sequential compactness topics
Applications of Mathematics, Tome 51 (2006) no. 3, pp. 247-262.

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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.
DOI : 10.1007/s10492-006-0014-x
Classification : 40A30, 74Q05
Keywords: two-scale convergence; compensated compactness; two-scale transform; unfolding 
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Holmbom, Anders; Silfver, Jeanette; Svanstedt, Nils; Wellander, Niklas. On two-scale convergence and related sequential compactness topics. Applications of Mathematics, Tome 51 (2006) no. 3, pp. 247-262. doi : 10.1007/s10492-006-0014-x. http://geodesic.mathdoc.fr/articles/10.1007/s10492-006-0014-x/

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