Geodesic
On general two-scale convergence and its application to the characterization of $G$-limits
Applications of Mathematics, Tome 52 (2007) no. 4, pp. 285-302.

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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.
DOI : 10.1007/s10492-007-0015-4
Classification : 35B27, 35J25, 49J45
Keywords: homogenization; $G$-convergence; two-scale convergence 
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Silfver, Jeanette. On general two-scale convergence and its application to the characterization of $G$-limits. Applications of Mathematics, Tome 52 (2007) no. 4, pp. 285-302. doi : 10.1007/s10492-007-0015-4. http://geodesic.mathdoc.fr/articles/10.1007/s10492-007-0015-4/

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