We prove a characterisation of sets with finite perimeter and $BV$ functions in terms of the short time behaviour of the heat semigroup in $R^N$. For sets with smooth boundary a more precise result is shown.
Short-time heat flow and functions of bounded variation in $R^N$
MIRANDA, Michele;
2007
Abstract
We prove a characterisation of sets with finite perimeter and $BV$ functions in terms of the short time behaviour of the heat semigroup in $R^N$. For sets with smooth boundary a more precise result is shown.File in questo prodotto:
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