On uniform H2-estimates in periodic homogenization
Conca_Carlos_Uniform.pdf (250.1Kb)Abstract
We introduce what are called regular materials for which, by de¯nition, the
corresponding solution of the classical periodic homogenization problem remains
bounded in H2
loc . We give examples of two types of such materials depending on
whether the coe± cients representing them belong to W1;1 or not. A complete
characterization is obtained in the former case.
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URI: https://repositorio.uchile.cl/handle/2250/125912
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Proceedings of the Royal Society of Edinburgh, 131A, 499{517, 2001
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