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Very weak multiscale convergence
Authors:L Flodén  A Holmbom  M Olsson  J Persson
Institution:Department of Engineering and Sustainable Development, Mid-Sweden University, S-83125 Östersund, Sweden
Abstract:We briefly recall the concept of multiscale convergence, which is a generalization of two-scale convergence. Then we investigate a related concept, called very weak multiscale convergence, and prove a compactness result with respect to this type of convergence. Finally we illustrate how this result can be used to study homogenization problems with several scales of oscillations.
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