Codice  QDD 75 
Titolo  Some properties of BV functions on Carnot groups related to the heat semigroup 
Data  20101120 
Autore/i  Bramanti, M.; Miranda, M., Pallara, D. 
Link  Download full text 
Abstract  In this paper we provide two different characterizations of sets with finite perimeter and functions of bounded variation in Carnot groups, analogous to those which hold in Euclidean spaces, in terms of the shorttime behaviour of the heat semigroup. The second one holds under the hypothesis that the reduced boundary of a set of finite perimeter is rectifiable, a result that presently is known in Step 2 Carnot groups. 
