# On the jump set of solutions of the Total Variation flow

created by novaga on 28 Apr 2012
modified on 17 Apr 2016

[BibTeX]

Published Paper

Inserted: 28 apr 2012
Last Updated: 17 apr 2016

Journal: Rend. Sem. Mat. Padova
Volume: 130
Pages: 155-168
Year: 2013

Abstract:

The main purpose of this note is to prove that the jump set and of the solution of the minimizing Total Variation flow decreases with time for any initial condition in $BV(\Omega)\cap L^N(\Omega)$. The size of the jump also decreases with time.