Homogenization of Thin Structures by Two-Scale Method with Respect to Measures

To the aim of studying the homogenization of low-dimensional periodic structures, we identify each of them with a periodic positive measure $\mu$ on $\ren$. We introduce a new notion of two-scale convergence for a sequence of functions $v_\e \in L ^p_{\me} (\O; \re ^d)$, where $\O$ is an open bounde...

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Bibliographic Details
Published in:SIAM journal on mathematical analysis Vol. 32; no. 6; pp. 1198 - 1226
Main Authors: Bouchitte, Guy, Fragala, Ilaria
Format: Journal Article
Language:English
Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2001
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ISSN:0036-1410, 1095-7154
Online Access:Get full text
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