The measure and the structure of the free boundary in the lower dimensional obstacle
Prof. Matteo Focardi, Università di Firenze
Sala conferenze IMATI-CNR, Pavia – Martedì 26 Febbraio 2019 h.15:00
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.