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.
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Holmbom, A., Silfver, J., Svanstedt, N. et al. On two-scale convergence and related sequential compactness topics. Appl Math 51, 247–262 (2006). https://doi.org/10.1007/s10492-006-0014-x
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DOI: https://doi.org/10.1007/s10492-006-0014-x