7 citations · 11 across the 5 of their papers we have counts for
5 papers
Variational solutions to the total variation flow on metric measure spaces
Vito Buffa, Juha Kinnunen, Cintia Pacchiano Camacho
We discuss a purely variational approach to the total variation flow on metric measure spaces with a doubling measure and a Poincaré inequality. We apply the concept of parabolic D…
Existence of parabolic minimizers to the total variation flow on metric measure spaces
Vito Buffa, Michael Collins, Cintia Pacchiano Camacho
We give an existence proof for variational solutions associated to the total variation flow. Here, the functions being considered are defined on a metric measure space $(\mathc…
Time-smoothing for parabolic variational problems in metric measure spaces
Vito Buffa
In 2013, Masson and Siljander determined a method to prove that the -minimal upper gradient for the time mollification , , of a…
Rough traces of functions in metric measure spaces
Vito Buffa, Michele Miranda
Following a Maz'ya-type approach, we adapt the theory of rough traces of functions of bounded variation () in the context of doubling metric measure spaces supporting a Poincar…
On functions and essentially bounded divergence-measure fields in metric spaces
Vito Buffa, Giovanni Eugenio Comi, Michele Miranda
By employing the differential structure recently developed by N. Gigli, we first give a notion of functions of bounded variation () in terms of suitable vector fields on a comp…