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H-Measures and Bounds on Effective Coefficients

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The General Theory of Homogenization

Part of the book series: Lecture Notes of the Unione Matematica Italiana ((UMILN,volume 7))

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Abstract

The method for obtaining bounds on effective coefficients, which I devised in the fall of 1977 while I was visiting MRC in Madison, WI, used thecompensated compactness method and correctors, generalizing the method which I used earlier with François MURAT, based on the div–curl lemma. Since H–measures represent a better way to deal with the compensated compactness ideas which I introduced with François MURAT,1 it was natural that I try to use them for studying bounds in homogenization.

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Correspondence to Luc Tartar .

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© 2009 Springer-Verlag Berlin Heidelberg

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Tartar, L. (2009). H-Measures and Bounds on Effective Coefficients. In: The General Theory of Homogenization. Lecture Notes of the Unione Matematica Italiana, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05195-1_30

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