Seminario di Equazioni Differenziali e Applicazioni: Differentiability of Lipschitz functions with respect to measures

Giovedì 27 Marzo 2014, ore 12:00 - Aula 1BC45 - Andrea Marchese



Giovedì 27 Marzo 2014 alle ore 12:00 in aula 1BC45, Andrea Marchese (Max-Planck-Institut fur Mathematik, Leipzig) terrà un seminario dal titolo "Differentiability of Lipschitz functions with respect to measures".

In this talk I will give an overview on the recent works about the optimality of this result and I will show an extension of the theorem, when the Lebesgue measure is replaced by an arbitrary measure $mu$. I will explain how to associate to $mu$ a bundle of vector spaces such that every Lipschitz function is differentiable at $mu$-a.e. point along the corresponding vector space. I will also show that this bundle is the smallest possible among those with the described property, exhibiting a Lipschitz function which is $mu$-a.e. non differentiable along any direction which does not lie in the bundle.
This is joint work with Giovanni Alberti.

Rif. Int. M. Bardi, E. Feleqi, D. Vitone

Download Seminari di Equazioni Differenziali e Applicazioni

NEWS: Sciopero dei docenti e svolgimento degli esami - L'eventuale astensione riguardera' il primo appello d'esame programmato nel periodo 28 agosto - 31 ottobre 2017. X