Paolo Bonicatto
[bonicatto]
Assistant Professor, University of Trento
Email: paolo.bonicatto AT unitn.it
orcid id: 0000-0001-9188-9113
Available papers (16):
[plain text]- P. Bonicatto - G. Del Nin - E. Pasqualetto (J. Funct. Anal.)
Decomposition of integral metric currents (2022) - P. Bonicatto - G. Del Nin - F. Rindler (preprint)
Transport of currents and geometric Rademacher-type theorems (2022) - A. Arroyo-Rabasa - P. Bonicatto (preprint)
A Bourgain-Brezis-Mironescu representation for functions with bounded deformation (2021) - A. Arroyo-Rabasa - P. Bonicatto - G. Del Nin (Accepted Paper: Indiana Univ. Math. J.)
Representation of the total variation as a $Γ$-limit of $BMO$-type seminorms (2021) - S. Bianchini - P. Bonicatto (Proceedings)
Untangling of trajectories for non-smooth vector fields and Bressan's Compactness Conjecture (2019) - P. Bonicatto - E. Pasqualetto - T. Rajala (Preprint)
Indecomposable sets of finite perimeter in doubling metric measure spaces (2019) - P. Bonicatto (Proceedings)
Uniqueness and non-uniqueness of signed measure-valued solutions to the continuity equation (2019) - P. Bonicatto - N. Gusev (Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur.)
Non-uniqueness of signed measure-valued solutions to the continuity equation in presence of a unique flow (2019) - P. Bonicatto - N. Gusev (Submitted Paper)
On the structure of divergence-free measures on $\mathbb R^2$ (2019) - S. Bianchini - P. Bonicatto (Accepted Paper: Inventiones mathematicae)
A uniqueness result for the decomposition of vector fields in $\mathbb R^d$ (2019) - P. Bonicatto - E. Marconi (Accepted Paper: Comm. in Partial Diff. Equations)
Regularity estimates for the flow of BV autonomous divergence free vector fields in $\mathbb{R}^2$ (2019) - S. Bianchini - P. Bonicatto (Current Research in Nonlinear Analysis: In Honor of Haim Brezis and Louis Nirenberg)
Failure of the chain rule in the non steady two-dimensional setting (2018) - P. Bonicatto (Proceedings: Theory, Numerics and Applications of Hyperbolic Problems I)
On uniqueness of weak solutions to transport equation with non-smooth velocity field (2018) - S. Bianchini - P. Bonicatto - E. Marconi (Preprint)
A Lagrangian approach for scalar multidimensional conservation laws (2017) - P. Bonicatto (Phd Thesis)
Untangling of trajectories for non-smooth vector fields and Bressan’s Compactness Conjecture (2017) - S. Bianchini - P. Bonicatto - N. Gusev (SIAM Journal on Mathematical Analysis)
Renormalization for autonomous nearly incompressible BV vector fields in 2D (2016)
Seminars:
- 18 may 2021: Decomposition of integral metric currents
Speaker:
- 17 jun 2024 - 21 jun 2024: Geometric Measure Theory and applications 2024
- 5 jun 2023 - 9 jun 2023: Vito Volterra Meeting 2023 in Calculus of Variations
- 14 sep 2022 - 15 sep 2022: Another Pisan workshop in Geometric Analysis
Organizer:
- 25 mar 2024 - 28 mar 2024: M&M's - Measures and Materials Workshop
- 8 jul 2019 - 10 jul 2019: GMT and PDEs in Basel – A young researchers meeting