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 $x$.
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