On Regularity of Transport Density in the Monge--Kantorovich Problem

Giuseppe Buttazzo, Eugene Stepanov

Type: Article

Publication Date: 2003-01-01

Citations: 11

DOI: https://doi.org/10.1137/s036301290138568x

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Locations

SIAM Journal on Control and Optimization - View

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Works That Cite This (11)

Action	Title	Year	Authors
+	Lack of regularity of the transport density in the Monge problem	2017	Samer Dweik
+	Numerical Solution of the $L^1$-Optimal Transport Problem on Surfaces	2021	Luca Berti Enrico Facca Mario Putti
+	BV estimates on the transport density with Dirichlet region on the boundary	2024	Samer Dweik
+ PDF Chat	Numerical Solution of Monge–Kantorovich Equations via a Dynamic Formulation	2020	Enrico Facca Sara Daneri Franco Cardin Mario Putti
+ PDF Chat	Numerical Solution of Monge-Kantorovich Equations via a dynamic formulation	2017	Enrico Facca Sara Daneri Franco Cardin Mario Putti
+ PDF Chat	Computing the cut locus of a Riemannian manifold<i>via</i>optimal transport	2022	Enrico Facca Luca Berti Francesco Fassò Mario Putti
+	Three Optimization Problems in Mass Transportation Theory	2006	Giuseppe Buttazzo
+	Problemi di ottimizzazione in teoria del trasporto di massa	2008	Giuseppe Buttazzo
+ PDF Chat	Numerical solution of the $ L^1 $-optimal transport problem on surfaces	2023	Luca Berti Enrico Facca Mario Putti
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Works Cited by This (9)

Action	Title	Year	Authors
+	Constructing optimal maps for Monge’s transport problem as a limit of strictly convex costs	2001	Luis Caffarelli Mikhail Feldman Robert J. McCann
+ PDF Chat	Characterization of optimal shapes and masses through Monge-Kantorovich equation	2001	Guy Bouchitté Giuseppe Buttazzo
+ PDF Chat	Variational Evolution Problems and Nonlocal Geometric Motion	1999	Mikhail Feldman
+	Fast/slow diffusion and collapsing sandpiles	1997	L. C. Evans Mikhail Feldman Ronald Gariepy
+ PDF Chat	Differential equations methods for the Monge-Kantorovich mass transfer problem	1999	L. C. Evans Wilfrid Gangbo
+ PDF Chat	Regularity properties for Monge transport density and for solutions of some shape optimization problem	2002	Luigi De Pascale Aldo Pratelli
+	On the Higher Integrability of the Gradient of Weak Solutions of Certain Degenerate Elliptic Systems	1993	Emmanuele DiBenedetto Juan J. Manfredi
+	Lecture Notes on Optimal Transport Problems	2003	Luigi Ambrosio
+	None	2002	Mikhail Feldman Robert J. McCann