P. Bonicatto

activity

20142026

most citedOn the advection-diffusion equation with rough coefficients: weak solutions and vanishing viscosity

14 citations · 58 across the 17 of their papers we have counts for

collaborators

Showing 2021 · math.APShow all

3 papers · 2 filters

math.AP2021

Representation of the total variation as a $Γ$ -limit of $B M O$ -type seminorms

Adolfo Arroyo-Rabasa, Paolo Bonicatto, Giacomo Del Nin

We address a question raised by Ambrosio, Bourgain, Brezis, and Figalli, proving that the $Γ$ -limit, with respect to the $L_{loc}^{1}$ topology, of a family of $B M O$ -type seminor…

math.AP2021★ 14 cited

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 $\partial_{t} u + div (u b) = 0$ drifted by a divergence-free vector field $\bol…

math.AP2021

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 $B D (Ω)$ and $L D (Ω)$ , which does not require the manipulation of distributi…

Representation of the total variation as a Γ-limit of BMO-type seminorms

On the advection-diffusion equation with rough coefficients: weak solutions and vanishing viscosity

A Bourgain-Brezis-Mironescu representation for functions with bounded deformation

Representation of the total variation as a $Γ$ -limit of $B M O$ -type seminorms