Optimal transportation for a quadratic cost with convex constraints and applications
type: Item
instance of: scholarly article
title: Optimal transportation for a quadratic cost with convex constraints and applications
zbMATH Open document ID: 1244.90037
author: Filippo Santambrogio
author: Chloé Jimenez
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2012-08-01T00:00:00Z
full work available at URL: https://arxiv.org/abs/1110.3237
Mathematics Subject Classification ID: 90B06
Mathematics Subject Classification ID: 90C20
zbMATH DE Number: 6062705
zbMATH Keywords: optimal transportation
zbMATH Keywords: existence of optimal maps
zbMATH Keywords: convex bodies
zbMATH Keywords: c-monotonicity
MaRDI profile type: Publication
OpenAlex ID: W2063420822
arXiv ID: 1110.3237
cites work: Q4424462
cites work: Existence of optimal transport maps for crystalline norms
cites work: Q4428798
cites work: A generalized dual maximizer for the Monge–Kantorovich transport problem
cites work: Polar factorization and monotone rearrangement of vector‐valued functions
cites work: Q4871557
cites work: A strategy for non-strictly convex transport costs and the example of \(\|x-y\|^p\) in \(\mathbb R^2\)
cites work: The Monge problem in \(\mathbb R^d\)
cites work: The Monge problem for strictly convex norms in \(\mathbb R^d\)
cites work: The $\infty$-Wasserstein Distance: Local Solutions and Existence of Optimal Transport Maps
cites work: Differential equations methods for the Monge-Kantorovich mass transfer problem
cites work: Uniqueness and transport density in Monge's mass transportation problem
cites work: The geometry of optimal transportation
cites work: Characterization of optimal transport plans for the Monge-Kantorovich problem
cites work: On the Monge mass transfer problem
cites work: Q4805362
cites work: Optimal Transport
DOI: 10.1016/J.MATPUR.2012.01.002
description: scientific article; zbMATH DE number 6062705