Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

G. E. Comi - V. Magnani

The Gauss-Green theorem in stratified groups

created by magnani on 03 Jun 2018
modified on 08 Nov 2018


Submitted Paper

Inserted: 3 jun 2018
Last Updated: 8 nov 2018

Year: 2018

ArXiv: 1806.04011 PDF


We lay the foundations for a theory of divergence-measure fields in noncommutative stratified nilpotent Lie groups. Such vector fields form a new family of function spaces, which generalize in a sense the $BV$ fields. They provide the most general setting to establish Gauss--Green formulas for vector fields of low regularity on sets of finite perimeter. We show several properties of divergence-measure fields in stratified groups, ultimately achieving the related Gauss--Green theorem.

Keywords: Sets of finite perimeter, divergence-measure fields, Gauss-Green theorem, stratified group


Credits | Cookie policy | HTML 5 | CSS 2.1