Assistant Professor, University of Trento

Email: paolo.bonicatto AT unitn.it

Home-page: https://sites.google.com/view/paolo-bonicatto/

orcid id: 0000-0001-9188-9113

Available papers (26):

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• P. Bonicatto - P. Lahti - E. Pasqualetto (preprint)
  A topological characterization of indecomposable sets of finite perimeter (2025)
• P. Bonicatto - F. Rindler - H. Turnbull (Submitted Paper)
  The Space-Time Connectivity Theorem for Normal Currents (2025)
• P. Bonicatto - G. Del Nin (Submitted Paper)
  Well-posedness of the transport of normal currents by time-dependent vector fields (2025)
• P. Bonicatto (Submitted Paper)
  A general Frobenius' Theorem via the Transport of Currents (2025)
• P. Bonicatto - G. Ciampa - G. Crippa (Nonlinear Anal. Theory Method Appl.)
  A regularity result for the Fokker-Planck equation with non-smooth drift and diffusion (2025)
• P. Bonicatto - G. Del Nin - F. Rindler (J. Funct. Anal.)
  Existence and uniqueness for the transport of currents by Lipschitz vector fields (2024)
• A. Arroyo-Rabasa - P. Bonicatto - G. Del Nin (Accepted Paper: Rev. Mat. Iberoam.)
  Local Poincaré constants and mean oscillation functionals for $BV$ functions (2024)
• P. Bonicatto - G. Ciampa - G. Crippa (J. Evol. Equ.)
  Weak and parabolic solutions of advection-diffusion equations with rough velocity field (2024)
• P. Bonicatto - F. Rindler (Submitted Paper)
  Homogenization of elasto-plastic evolutions driven by the flow of dislocations (2024)
• A. Arroyo-Rabasa - P. Bonicatto - G. Del Nin (Indiana Univ. Math. J.)
  Representation of the total variation as a $Γ$-limit of $BMO$-type seminorms (2024)
• A. Arroyo-Rabasa - P. Bonicatto (Calc. Var. Partial Differential Equations)
  A Bourgain-Brezis-Mironescu representation for functions with bounded deformation (2023)
• P. Bonicatto - G. Del Nin - E. Pasqualetto (J. Funct. Anal.)
  Decomposition of integral metric currents (2022)
• P. Bonicatto - G. Ciampa - G. Crippa (J. Math. Pures Appl.)
  On the advection-diffusion equation with rough coefficients: weak solutions and vanishing viscosity (2022)
• P. Bonicatto - G. Del Nin - F. Rindler (Trans. Amer. Math. Soc.)
  Transport of currents and geometric Rademacher-type theorems (2022)
• P. Bonicatto - N. Gusev (Adv. Calc. Var.)
  On the structure of divergence-free measures on $\mathbb R^2$ (2022)
• P. Bonicatto - E. Pasqualetto - T. Rajala (Calc. Var. Partial Differential Equations)
  Indecomposable sets of finite perimeter in doubling metric measure spaces (2020)
• S. Bianchini - P. Bonicatto (Proceedings)
  Untangling of trajectories for non-smooth vector fields and Bressan's Compactness Conjecture (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 - 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 (Accepted Paper: Inventiones mathematicae)
  A uniqueness result for the decomposition of vector fields in $\mathbb R^d$ (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:

• 19 jan 2026 - 21 jan 2026: When CalcVar meets Siena
• 17 feb 2025 - 21 feb 2025: 13th Meeting on Nonlinear Evolution PDEs, Fluid Dynamics and Transport Equations
• 9 sep 2024 - 13 sep 2024: Summer school in fluid dynamics and nonlinear PDEs
• 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:

• 27 jan 2025 - 31 jan 2025: Geometric Measure Theory in Trento
• 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