A nonlinear version of Ornstein's non-inequality

speaker: Jan Kristensen (Mathematical Institute, University of Oxford)

abstract: We show that a rank-one convex and positively 1-homogeneous function must be convex on the rank-one cone. A particular consequence is a generalization of Ornstein's non-inequality. We also comment on implications for a recent characterization, a la Kinderlehrer and Pedregal, of oscillations and concentrations in gradients of maps of bounded variations.

timetable:
Thu 3 Sep, 11:00 - 12:00, Aula Dini
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