Optimal transportation with an oscillation-type cost: the one-dimensional case

DOI10.1007/S11228-013-0229-4zbMath1272.49097arXiv1210.0761OpenAlexW2950023296MaRDI QIDQ368466

Paul Pegon, Didier Lesesvre, Filippo Santambrogio

Publication date: 23 September 2013

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0761

zbMATH Keywords

modulus of continuityoptimal transportationmonotone transportsprivacy-respectful data transmission

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Existence theories for free problems in one independent variable (49J05)

Related Items (2)

The Monge problem with vanishing gradient penalization: vortices and asymptotic profile ⋮ The \(L^\infty\) optimal transport: infinite cyclical monotonicity and the existence of optimal transport maps

Cites Work

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• A sharp inequality for transport maps in \(W^{1,p}(\mathbb R)\) via approximation
• A metric approach to elastic reformations

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