Special Session 126: Defects, Microstructures, and Failure: Multiscale Variational Models
A notion of s-fractional mass for 1-currents in higher codimension
Marcello Ponsiglione
Sapienza, University of Roma Italy
Co-Author(s):
Abstract:
We will introduce and discuss a notion of s-fractional mass for 1-currents, generalizing the s-fractional perimeter in the plane to higher codimension singularities. We will present basic compactness and density properties for such a notion, and discuss possible future directions of investigation