List of works - Luigi Ambrosio

A global existence result for the semigeostrophic equations in three dimensional convex domains

scientific article published in 2014

Almost everywhere well-posedness of continuity equations with measure initial data

scientific article published in March 2010

Approximation of functional depending on jumps by elliptic functional via t-convergence

scholarly article by Luigi Ambrosio & Vincenzo Maria Tortorelli published December 1990 in Communications on Pure and Applied Mathematics

BMO-Type Norms Related to the Perimeter of Sets

scientific article published on 5 October 2015

Bakry–Émery curvature-dimension condition and Riemannian Ricci curvature bounds

scientific article published in 2015

Bounded Variation with Respect to a Log-Concave Measure

scientific article published in 2012

Corrigendum: Semiclassical Limit of Quantum Dynamics with Rough Potentials and Well-Posedness of Transport Equations with Measure Initial Data

scientific article published on 29 January 2013

Existence and Uniqueness of Maximal Regular Flows for Non-smooth Vector Fields

scientific article published on 19 May 2015

Existence of Eulerian Solutions to the Semigeostrophic Equations in Physical Space: The 2-Dimensional Periodic Case

scientific article published in January 2012

Geodesics in the Space of Measure-Preserving Maps and Plans

scientific article published on 7 November 2008

Metric measure spaces with Riemannian Ricci curvature bounded from below

scientific article published in 2014

On a class of first order Hamilton–Jacobi equations in metric spaces

scientific article published in 2014

On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna–Lions

scientific article published in January 2009

On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces

scientific article published in 2013

On the Lagrangian structure of transport equations: The Vlasov–Poisson system

scientific article published in 2017

On the regularity of the pressure field of Brenier’s weak solutions to incompressible Euler equations

scientific article published on 8 August 2007

Partial regularity for mass-minimizing currents in Hilbert spaces

article by Luigi Ambrosio et al published 1 January 2018 in Crelle's Journal

Perimeter of sets and BMO-type norms

scientific article published in September 2014

Rectifiability of Sets of Finite Perimeter in Carnot Groups: Existence of a Tangent Hyperplane

scientific article published on 18 March 2009

Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure

scientific article

Semiclassical limit of quantum dynamics with rough potentials and well-posedness of transport equations with measure initial data

Slopes of Kantorovich potentials and existence of optimal transport maps in metric measure spaces

scientific article

List of works by Luigi Ambrosio

A global existence result for the semigeostrophic equations in three dimensional convex domains

Almost everywhere well-posedness of continuity equations with measure initial data

Approximation of functional depending on jumps by elliptic functional via t-convergence

BMO-Type Norms Related to the Perimeter of Sets

Bakry–Émery curvature-dimension condition and Riemannian Ricci curvature bounds

Bounded Variation with Respect to a Log-Concave Measure

Corrigendum: Semiclassical Limit of Quantum Dynamics with Rough Potentials and Well-Posedness of Transport Equations with Measure Initial Data

Existence and Uniqueness of Maximal Regular Flows for Non-smooth Vector Fields

Existence of Eulerian Solutions to the Semigeostrophic Equations in Physical Space: The 2-Dimensional Periodic Case

Geodesics in the Space of Measure-Preserving Maps and Plans

Metric measure spaces with Riemannian Ricci curvature bounded from below

On a class of first order Hamilton–Jacobi equations in metric spaces

On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna–Lions

On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces

On the Lagrangian structure of transport equations: The Vlasov–Poisson system

On the regularity of the pressure field of Brenier’s weak solutions to incompressible Euler equations

Partial regularity for mass-minimizing currents in Hilbert spaces

Perimeter of sets and BMO-type norms

Rectifiability of Sets of Finite Perimeter in Carnot Groups: Existence of a Tangent Hyperplane

Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure

Semiclassical limit of quantum dynamics with rough potentials and well-posedness of transport equations with measure initial data

Slopes of Kantorovich potentials and existence of optimal transport maps in metric measure spaces