Journal article

Very weak multiscale convergence

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Publication Details

Author list: HOLMBOM A, FLODEN L, OLSSON LINDBERG M, FLODEN L, HOLMBOM A, OLSSON LINDBERG M, Persson J

Publication year: 2010

Start page: 1170

End page: 1173

Number of pages: 4

ISSN: 0893-9659

DOI: http://dx.doi.org/10.1016/j.aml.2010.05.005

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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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