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On uniform H-estimates in periodic homogenization
2001
Proceedings of the Royal Society of Edinburgh. Section A Mathematics
Preserved Fulltext
We introduce what are called regular materials for which, by de¯nition, the corresponding solution of the classical periodic homogenization problem remains bounded in H 2 loc . We give examples of two types of such materials depending on whether the coe± cients representing them belong to W 1;1 or not. A complete characterization is obtained in the former case.
doi:10.1017/s0308210500000986
fatcat:qjsgegulynajtpdhx3kxfsv7bi