Inserted: 19 feb 2005
Last Updated: 20 feb 2008
Journal: Ann. Fac. Sci. Toulouse Math.
Volume: (6) 16
We prove a characterisation of sets with finite perimeter and $BV$ functions in terms of the short time behaviour of the heat semigroup in $\re^N$. For sets with smooth boundary a more precise result is shown.
Keywords: functions of bounded variation, Heat semigroup