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Tutorial by Marian Bocea, May 17, 2:00 - 4:00 pm & May 19, 2:30 - 3:30 pmWe review the basic facts from Functional Analysis related to the study of oscillation and concentration effects developed by weakly converging sequences in Lp spaces. These effects are displayed by minimizing sequences of certain variational functionals. In order to describe the limiting behavior of such quantities we introduce the notion of Young measure and discuss its basic properties. The last part of these lectures is devoted to some applications to the study of nonconvex variational problems. |
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Department of Mathematics VIGRE University of Utah |