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

C. De Lellis

A note on Alberti's Rank--one Theorem

created by delellis on 30 Mar 2006
modified on 03 May 2011

[BibTeX]

Published Paper

Inserted: 30 mar 2006
Last Updated: 3 may 2011

Journal: Transport equations and multi-D hyperbolic conservation laws, 61-74, Lect. Notes Unione Mat. Ital., 5, Springer, Berlin..
Year: 2008

Abstract:

In this note we illustrate the original proof of the Alberti's Rank--one Theorem: If $u$ is a $BV$ map and $M
D^s u
$ the Radon--Nykodim decomposition of the singular part of $Du$, then $M (x)$ has rank $1$ for $
D^s u
$--almost every $x$.

For the most updated version and eventual errata see the page

http:/www.math.uzh.chindex.php?id=publikationen&key1=493

Credits | Cookie policy | HTML 5 | CSS 2.1