14 citations · 58 across the 17 of their papers we have counts for
4 papers · 1 filter
Representation of the total variation as a -limit of -type seminorms
Adolfo Arroyo-Rabasa, Paolo Bonicatto, Giacomo Del Nin
We address a question raised by Ambrosio, Bourgain, Brezis, and Figalli, proving that the -limit, with respect to the topology, of a family of -type seminor…
On the advection-diffusion equation with rough coefficients: weak solutions and vanishing viscosity
Paolo Bonicatto, Gennaro Ciampa, Gianluca Crippa
We deal with the vanishing viscosity scheme for the transport/continuity equation drifted by a divergence-free vector field $\bol…
A Bourgain-Brezis-Mironescu representation for functions with bounded deformation
Adolfo Arroyo-Rabasa, Paolo Bonicatto
We establish a non-local integral difference quotient representation for symmetric gradient semi-norms in and , which does not require the manipulation of distributi…
Decomposition of integral metric currents
Paolo Bonicatto, Giacomo Del Nin, Enrico Pasqualetto
In the setting of complete metric spaces, we prove that integral currents can be decomposed as a sum of indecomposable components. In the special case of one-dimensional integral c…