Concepedia

Luigi Ambrosio

LA

Statistics

Publications

102

Citations

9.9K

H-Index

48

Active since

1988

Affiliations

Scuola Normale Superiore(Current)

University of Pavia

University of Pisa

University of Rome Tor Vergata

Luigi Ambrosio is an author at Scuola Normale Superiore specializing in functional analysis, engineering, and approximation theory.

Top concepts

Functional AnalysisEngineeringSpectral TheoryApproximation TheoryVariational InequalitiesGeometryProbabilityPhysicsFluid DynamicsDiscrete Geometry

Publications per year

1988–2023

102

Publications

102

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

Luigi Ambrosio, Vincenzo Maria Tortorelli · Communications on Pure and Applied Mathematics · 1990 · 1.4K citations

Numerical Analysis, Image Analysis, Engineering +13

Transport equation and Cauchy problem for BV vector fields

Luigi Ambrosio · Inventiones mathematicae · 2004 · 613 citations

Monge-ampere Equation, Nonlinear Hyperbolic Problem, Geometric Partial Differential Equation +1

Metric measure spaces with Riemannian Ricci curvature bounded from below

Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré · Duke Mathematical Journal · 2014 · 543 citations · Full text

ON THE APPROXIMATION OF FREE DISCONTINUITY PROBLEMS

Luigi Ambrosio, Vincenzo Maria Tortorelli · 1992 · 447 citations

Engineering, Approximation Method, Discontinuity +3

Currents in metric spaces

Luigi Ambrosio, Bernd Kirchheim · Acta Mathematica · 2000 · 372 citations · Full text

Riemannian Geometry, Global Analysis, Riemannian Manifold +2

1–5 of 102