The two-scale convergence method applied to generalized Besicovitch spaces

By J. Casado-díaz, I. Gayte. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2002

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The two–scale convergence method has proved to be a very useful tool for dealing with periodic homogenization problems. In the present paper we develop this theory to generalized Besicovitch spaces, which include the almost–periodic functions. The main difficulty comes from the fact that these spaces are not separable. We also show how to apply these results to the homogenization of partial differential problems in this framework.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/78937874e26790bf48c1517e8f1a9c61bc6583e1

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In Computational Mechanics

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