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Article

Silfver, Jeanette
On general two-scale convergence and its application to the characterization of $G$-limits. (English). Applications of Mathematics, vol. 52 (2007), issue 4, pp. 285-302
MSC: 35B27, 35J25, 49J45 | MR 2324728 | Zbl 1164.35318 | DOI: 10.1007/s10492-007-0015-4
Keywords:
homogenization; $G$-convergence; two-scale convergence
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.
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