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On two-scale convergence and related sequential compactness topics |
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| Authors: | Anders Holmbom Jeanette Silfver Nils Svanstedt Niklas Wellander |
| Affiliation: | 1. Department of Mathematics, Mid-Sweden University, SE-831 25, ?stersund, Sweden 2. Department of Computational Mathematics, Chalmers University, SE-412 96, G?teborg, Sweden 3. Swedish Defence Research Agency, FOI, P.O. Box 1165, SE-581 11, Link?ping, Sweden |
| 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: | two-scale convergence compensated compactness two-scale transform unfolding |
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