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GT CalVa G DEPHILIPPIS
Lundi 13 mars 2017
Guido DE PHILIPPIS (SISSA, Trieste)
On the structure of A-free measures and applications
Abstract : I will show a general structure theorem for the singular part of A-free Radon measures, where A is a linear PDE operator. By applying the theorem to suitably chosen differential operators A ,one can obtain a simple proof of Alberti’s rank-one theorem and its extensions to functions of bounded deformation (BD). I will also show some consequences concerning the sharpness of Rademacher Theorem and the structure of Ambrosio-Kirchheim top-dimensional metric current in R^d.