Dr Paolo Bonicatto

Paolo Bonicatto

Research Fellow

Office: B2.20
Phone: +44 (0)24 761 50903
Email: Paolo.Bonicatto@warwick.ac.uk

I currently work as a Research Fellow in the group led by Filip Rindler under the ERC project SINGULARITY – Singularities and Compactness in Nonlinear PDEs.

My research interests lie mostly in Partial Differential Equations, Geometric Measure Theory and, more recently, in some aspects of the Calculus of Variations.

Essential CV

Selected publications and preprints

• P. Bonicatto, G. Del Nin and F. Rindler, Transport of currents and geometric Rademacher-type theorems arXiv:2207.03922Link opens in a new window
• A. Arroyo-Rabasa, P. Bonicatto and G. Del Nin, Representation of the total variation as a Γ-limit of BMO-type seminorms, to appear in Indiana Univ. Math. J. arXiv:2112.03832Link opens in a new window
• A. Arroyo-Rabasa and P. Bonicatto, A Bourgain-Brezis-Mironescu representation for functions with bounded deformation, Calc. Var. Partial Differential Equations, 62, 33 (2023) Online versionLink opens in a new window
• P. Bonicatto, G. Ciampa and G. Crippa, Advection-diffusion equation with rough coefficients: weak solutions and vanishing viscosity, J. Math. Pures Appl., 167 (2022), pp. 204–224 Online versionLink opens in a new window
• P. Bonicatto, G. Del Nin and E. Pasqualetto, Decomposition of integral metric currents, J. Funct. Anal., 282 (2022) Online versionLink opens in a new window
• P. Bonicatto and E. Marconi, Regularity estimates for the flow of BV autonomous divergence-free vector fields in $R^2$, Comm. Partial Differential Equations, 46 (2021), pp. 2235-2267 Online versionLink opens in a new window
• S. Bianchini and P. Bonicatto, A uniqueness result for the decomposition of vector fields in $R^d$, Invent. Math., 220 (2020), pp. 255-393 Online versionLink opens in a new window