707 citations
- University of PisaIT36 papers
- Centre National de la Recherche ScientifiqueFR25 papers
- Sapienza University of RomeIT22 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di PisaIT21 papers
- Fermi National Accelerator LaboratoryUS20 papers
- Scuola Internazionale Superiore di Studi AvanzatiIT20 papers
- Joint Institute for Nuclear ResearchRU18 papers
- Karlsruhe Institute of TechnologyDE18 papers
- Northwestern UniversityUS18 papers
- University of ChicagoUS18 papers
- Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di FrascatiIT17 papers
- Massachusetts Institute of TechnologyUS17 papers
7 papers · 1 filter
Almost everywhere well-posedness of continuity equations with measure initial data
Luigi Ambrosio, Alessio Figalli
The aim of this note is to present some new results concerning "almost everywhere" well-posedness and stability of continuity equations with measure initial data. The proofs of all…
Passage from quantum to classical molecular dynamics in the presence of Coulomb interactions
Luigi Ambrosio, Gero Friesecke, Jannis Giannoulis
We present a rigorous derivation of classical molecular dynamics (MD) from quantum molecular dynamics (QMD) that applies to the standard Hamiltonians of molecular physics with Coul…
Some new well-posedness results for continuity and transport equations, and applications to the chromatography system
Luigi Ambrosio, Gianluca Crippa, Alessio Figalli +1
We obtain various new well-posedness results for continuity and transport equations, among them an existence and uniqueness theorem (in the class of strongly continuous solutions)…
On flows associated to Sobolev vector fields in Wiener spaces: an approach à la DiPerna-Lions
Luigi Ambrosio, Alessio Figalli
In this paper we extend the DiPerna-Lions theory on ODEs with Sobolev vector fields to the setting of abstract Wiener spaces.
Kolmogorov equations for measures
Luigi Manca
We consider a semigroup of operators in the Banach space of uniformly continuous and bounded functions on a separable Hilbert space . In particular, we deal with semigr…
Spectral projections for the twisted Laplacian
Herbert Koch, Fulvio Ricci
The twisted Laplacian in the d=2n dimensional Euclidean space has the spectrum n+2k, k a nonnegative integer. We find sharp asymptotic bounds of the norm of the projection to the e…