On two-scale convergence and related sequential compactness topics
- 1 June 2006
- journal article
- Published by Institute of Mathematics, Czech Academy of Sciences in Applications of Mathematics
- Vol. 51 (3), 247-262
- https://doi.org/10.1007/s10492-006-0014-x
Abstract
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(Ω) 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.Keywords
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