Calculus of Variations and Geometric Measure Theory

S. Di Marino

Sobolev and BV spaces on metric measure spaces via derivations and integration by parts

created by dimarino on 18 Sep 2014
modified on 24 Jul 2018


Submitted Paper

Inserted: 18 sep 2014
Last Updated: 24 jul 2018

Year: 2014

ArXiv: 1409.5620 PDF


We develop a theory of BV and Sobolev Spaces via integration by parts formula in abstract metric spaces; the role of vector fields is played by Weaver's metric derivations. The definition hereby given is shown to be equivalent to many others present in literature.

Tags: GeMeThNES