S. Bianchini, P. Bonicatto, N. Gusev:
Renormalization for autonomous nearly incompressible BV vector fields in 2D
SIAM Journal on Mathematical Analysis Vol. 48, N. 1, p. 1-33, 2016
S. Bianchini, P. Bonicatto, E. Marconi:
A Lagrangian approach for scalar multidimensional conservation laws
(Preprint) 2017
P. Bonicatto:
Untangling of trajectories for non-smooth vector fields and Bressans Compactness Conjecture
(Phd Thesis) 2017
S. Bianchini, P. Bonicatto:
Failure of the chain rule in the non steady two-dimensional setting
Current Research in Nonlinear Analysis: In Honor of Haim Brezis and Louis Nirenberg p. 33-60, 2018
P. Bonicatto:
On uniqueness of weak solutions to transport equation with non-smooth velocity field
Theory, Numerics and Applications of Hyperbolic Problems I (Proceedings) p. 191-203, 2018
S. Bianchini, P. Bonicatto:
Untangling of trajectories for non-smooth vector fields and Bressan's Compactness Conjecture
(Proceedings) 2019
P. Bonicatto, E. Pasqualetto, T. Rajala:
Indecomposable sets of finite perimeter in doubling metric measure spaces
(Preprint) p. 32, 2019
P. Bonicatto:
Uniqueness and non-uniqueness of signed measure-valued solutions to the continuity equation
(Proceedings) 2019
P. Bonicatto, N. Gusev:
Non-uniqueness of signed measure-valued solutions to the continuity equation in presence of a unique flow
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Vol. 30, N. 3, p. 511-531, 2019
P. Bonicatto, N. Gusev:
On the structure of divergence-free measures on $\mathbb R^2$
(Submitted Paper) 2019
S. Bianchini, P. Bonicatto:
A uniqueness result for the decomposition of vector fields in $\mathbb R^d$
Inventiones mathematicae (Accepted Paper) 2019
P. Bonicatto, E. Marconi:
Regularity estimates for the flow of BV autonomous divergence free vector fields in $\mathbb{R}^2$
Comm. in Partial Diff. Equations (Accepted Paper) 2019
P. Bonicatto, G. Del Nin, E. Pasqualetto:
Decomposition of integral metric currents
(preprint) 2021
A. Arroyo-Rabasa, P. Bonicatto:
A Bourgain-Brezis-Mironescu representation for functions with bounded
deformation
(preprint) 2021