Adv. Math. Econ. Volume 1, pp.99-113 (1999)
Analysis of the asymptotic distance between oscillating functions and their weak limit in L2
Michel Valadier
Département de Mathématiques - case 051, Université Montpellier II, place
Eugène Bataillon, 34095 Montpellier Cedex 5, France
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Young measures theory is applied to the understanding of weak convergence
without strong convergence in L2 spaces. The two-scale Young measures
permit also to analyse, when it happens, a "modulated periodical" behavior and,
in the general case, to get a kind of orthogonal decomposition. Some new examples
are discussed.
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Weak convergence, oscillations, asymptotic behavior, Young measures, two-scale convergence
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