37 citations · 157 across the 16 of their papers we have counts for
6 papers · 1 filter
On the divergence of the composition of irregular fields with BV functions
Graziano Crasta, Virginia De Cicco, Annalisa Malusa
We introduce a family of (nonlinear) pairing measures that ensure the validity of the divergence rule for composite functions , where $\boldsymbol{B}(\cdot,…
Beyond : new pairings and Gauss-Green formulas for measure fields with divergence measure
Giovanni Eugenio Comi, Virginia De Cicco, Giovanni Scilla
A new notion of pairing between measure vector fields with divergence measure and scalar functions, which are not required to be weakly differentiable, is introduced. In particular…
Representation formulas for pairings between divergence-measure fields and functions
Giovanni E. Comi, Graziano Crasta, Virginia De Cicco +1
The purpose of this paper is to find pointwise representation formulas for the density of the pairing between divergence-measure fields and BV functions, in this way continuing the…
On the variational nature of the Anzellotti pairing
Graziano Crasta, Virginia De Cicco
In this paper we prove that the Anzellotti pairing can be regarded as a relaxed functional with respect to the weak* convergence in the space BV of functions of bounded variation.…
An extension of the pairing theory between divergence-measure fields and BV functions
Graziano Crasta, Virginia De Cicco
In this paper we introduce a nonlinear version of the notion of Anzellotti's pairing between divergence--measure vector fields and functions of bounded variation, motivated by poss…
Anzellotti's pairing theory and the Gauss--Green theorem
Graziano Crasta, Virginia De Cicco
In this paper we obtain a very general Gauss-Green formula for weakly differentiable functions and sets of finite perimeter. This result is obtained by revisiting Anzellotti's pair…