Tuesday, 26 February 2019, 3 p.m. (sharp),

Prof. Matteo Focardi, Università di Firenze

at the conference room of IMATI-CNR in Pavia, will give a lecture titled:

The measure and the structure of the free boundary in the lower dimensional obstacle problem

as part of the Applied Mathematics Seminar (IMATI-CNR e Dipartimento di Matematica, Pavia).

At the end a refreshment will be organized.


Abstract. In this talk I present the main results of a recent paper in collaboration with E. Spadaro (U. Roma La Sapienza) on the regularity of the free boundary for a class of lower dimensional obstacle problems, including the classical scalar Signorini problem. We prove the first results concerning the global structure of the free boundary, in particular showing its local finiteness and its rectifiability.