Dr Paolo Bonicatto
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Paolo BonicattoResearch Fellow Office: B2.20 |
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
- 2017 - 2020: Wissenschaftlicher Mitarbeiter (Post-Doc), (Switzerland). I worked in the group of under the ERC project .
- 2014 - 2017: PhD student at , under the supervision of .
Here is my full CVLink opens in a new window.
Selected publications and preprints
- P. Bonicatto, G. Del Nin and F. Rindler, Transport of currents and geometric Rademacher-type theorems
- A. Arroyo-Rabasa, P. Bonicatto and G. Del Nin, Representation of the total variation as a
螕 -limit ofBMO -type seminorms, to appear in Indiana Univ. Math. J. - A. Arroyo-Rabasa and P. Bonicatto, A Bourgain-Brezis-Mironescu representation for functions with bounded deformation, Calc. Var. Partial Differential Equations, 62, 33 (2023)
- 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
- P. Bonicatto, G. Del Nin and E. Pasqualetto, Decomposition of integral metric currents, J. Funct. Anal., 282 (2022)
- P. Bonicatto and E. Marconi, Regularity estimates for the flow of BV autonomous divergence-free vector fields in
, Comm. Partial Differential Equations, 46 (2021), pp. 2235-2267
- S. Bianchini and P. Bonicatto, A uniqueness result for the decomposition of vector fields in
, Invent. Math., 220 (2020), pp. 255-393