3 dec 2014 -- 17:30
Aula seminari, DM, Pisa
Abstract.
In my lecture I will illustrate a recent work (in collaboration with J.Bourgain, H.Brezis, A.Figalli) on the characterization of the perimeter and of sets of finite perimeter in terms of a $BMO$-like seminorm, solving positively a question raised in a earlier and recent work of H.Brezis, J.Bourgain and P.Mironescu. I will more generally compare this with other distributional and non-distributional criteria for the finiteness of perimeter.