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On general two-scale convergence and its application to the characterization of \(G\)-limits. (English) Zbl 1164.35318
Summary: We characterize some \(G\)-limits using two-scale techniques and investigate a method to detect deviations from the arithmetic mean in the obtained \(G\)-limit provided no periodicity assumptions are involved. We also prove some results on the properties of generalized two-scale convergence.

35B27 Homogenization in context of PDEs; PDEs in media with periodic structure
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