PB
Paolo Bonicatto
math.APmath.FAmath.MGmath.OCAdvection–diffusion equationDistributional and parabolic solutionsTransport/continuity equation
On Valency
published · living versionsW_yqxpdnjv·v1 · currentpublished
On the strict approximation of currents and space-time trajectories
with Filip Rindler, Harry Turnbull
1 version
Preprints & journals
20 papers in the corpus · 2014–2026On the strict approximation of currents and space-time trajectories2610.29981v1 · Paolo Bonicatto, Filip Rindler, Harry Turnbull2026 · 0 citationsarXivon Valency
Decomposition of functions of bounded variation in Ahlfors-regular PI spaces2610.14779v1 · Paolo Bonicatto, Panu Lahti, Enrico Pasqualetto2026 · 0 citationsarXiv
A topological characterization of indecomposable sets of finite perimeter2512.18319v1 · Paolo Bonicatto, Panu Lahti, Enrico Pasqualetto2025 · 0 citationsarXiv
A general Frobenius' Theorem via the Transport of Currents2510.21478v1 · Paolo Bonicatto2025 · 0 citationsarXiv
The Space-Time Connectivity Theorem for Normal Currents2510.08360v2 · Paolo Bonicatto, Filip Rindler, Harry Turnbull2025 · 0 citationsarXiv
Well-posedness of the transport of normal currents by time-dependent vector fields2504.15974v1 · Paolo Bonicatto, Giacomo Del Nin2025 · 0 citationsarXiv
Local Poincaré constants and mean oscillation functionals for functions2402.10794v1 · Adolfo Arroyo-Rabasa, Paolo Bonicatto, Giacomo Del Nin2024 · 0 citationsarXiv
Weak and parabolic solutions of advection-diffusion equations with rough velocity field.38111514 · Bonicatto, Paolo, Ciampa, Gennaro, Crippa, Gianluca2023 · 10 citationsJournal of evolution equations. 2024;24(1):1
A regularity result for the Fokker-Planck equation with non-smooth drift and diffusion2310.12625v2 · Paolo Bonicatto, Gennaro Ciampa, Gianluca Crippa2023 · 1 citationNonlinear Analysis 254 (2025) 113748
Existence and uniqueness for the transport of currents by Lipschitz vector fields2303.03218v1 · Paolo Bonicatto, Giacomo Del Nin, Filip Rindler2023 · 2 citationsarXiv
Transport of currents and geometric Rademacher-type theorems2207.03922v1 · Paolo Bonicatto, Giacomo Del Nin, Filip Rindler2022 · 3 citationsarXiv
Representation of the total variation as a -limit of -type seminorms2112.03832v2 · Adolfo Arroyo-Rabasa, Paolo Bonicatto, Giacomo Del Nin2021 · 1 citationarXiv
On the advection-diffusion equation with rough coefficients: weak solutions and vanishing viscosity2107.03659v4 · Paolo Bonicatto, Gennaro Ciampa, Gianluca Crippa2021 · 14 citationsJ. Math. Pures Appl. 167, 204-224 (2022)
A Bourgain-Brezis-Mironescu representation for functions with bounded deformation2106.06954v2 · Adolfo Arroyo-Rabasa, Paolo Bonicatto2021 · 4 citationsarXiv
Decomposition of integral metric currents2104.07593v1 · Paolo Bonicatto, Giacomo Del Nin, Enrico Pasqualetto2021 · 4 citationsarXiv
On the structure of divergence-free measures on 1912.10936v2 · Paolo Bonicatto, Nikolay A. Gusev2019 · 0 citationsarXiv
Regularity estimates for the flow of BV autonomous divergence free vector fields in 1910.03277v2 · Paolo Bonicatto, Elio Marconi2019 · 9 citationsarXiv
Indecomposable sets of finite perimeter in doubling metric measure spaces1907.10869v1 · Paolo Bonicatto, Enrico Pasqualetto, Tapio Rajala2019 · 12 citationsarXiv
Non-uniqueness of signed measure-valued solutions to the continuity equation in presence of a unique flow1809.10216v1 · Paolo Bonicatto, Nikolay A. Gusev2018 · 7 citationsAtti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 30 (2019), no. 3, pp. 511-531
Renormalization for autonomous nearly incompressible BV vector fields in 2D1412.6387v2 · Stefano Bianchini, Paolo Bonicatto, Nikolay A. Gusev2014 · 15 citationsarXiv
Career total: 42 works. 20 are in this corpus.
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