ICTP Mathematics Seminar - Wednesday 28 March, at 14.00hrs (Riccardo SCALA)

[ICTP Math Section]

M A T H E M A T I C S   S E M I N A R S  2018


Wednesday 28, March, at 14.00 hrs.




Riccardo Scala (University of Lisbon)


Title:
Some recent progress on the relaxation of the area functional


Abstract:
We introduce the area functional, namely the map which evaluates the 
area of the graph of a given C^1 vector valued function u defined on a 
open domain on R^n. We discuss the problem of relaxation of the area 
functional and recall some important properties. Then we consider the 
problem of triple junction points, in the presence of which the area 
functional shows nonlocal behaviour. The problem of evaluating the area 
functional on such maps is related to a problem of minimal surfaces 
whose solution passes by application of geometric analysis tools.




VENUE:  Stasi Seminar Room (ICTP Leonardo da Vinci Building, first floor)