Calculus of Variations and Geometric Measure Theory
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S. Di Marino

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

created by dimarino on 18 Sep 2014


Submitted Paper

Inserted: 18 sep 2014
Last Updated: 18 sep 2014

Year: 2014


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


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