Adv. Math. Econ. Volume 1, pp.99113 (1999)
Analysis of the asymptotic distance between oscillating functions and their weak limit in L^{2}
Michel Valadier
Département de Mathématiques  case 051, Université Montpellier II, place
Eugène Bataillon, 34095 Montpellier Cedex 5, France


Young measures theory is applied to the understanding of weak convergence
without strong convergence in L^{2} spaces. The twoscale 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.


Weak convergence, oscillations, asymptotic behavior, Young measures, twoscale convergence