Abstract
During the year 1974–1975, which I spent at UW, Madison, WI, I simplified the results obtained with François MURAT, by a repeated use of our div–curl lemma (Lemma 7.2). Afterward, the same idea was developed independently by Leon SIMON. Although I did not describe it explicitly, it should be con- sidered as a simple case of the way to use the general theory of compensated compactness, which I shall describe later.
My new approach made the method easily applicable to all sorts of variational situations, and I first explained it to Jacques-Louis LIONS at a meeting in Marseille, France, in the fall of 1975, and he mentioned it in a footnote of his article for the proceedings. However, although he used my method all the time in his lectures during the following years, he rarely mentioned my name for what he called the energy method,1 which is a bad name for my method, which I call the method of oscillating test functions.
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© 2009 Springer-Verlag Berlin Heidelberg
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Tartar, L. (2009). Properties of H-Convergence. 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_10
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DOI: https://doi.org/10.1007/978-3-642-05195-1_10
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