A1 Journal article (refereed)
Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces (2019)


Gerolin, Augusto; Kausamo, Anna; Rajala, Tapio (2019). Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces. ESAIM : Control Optimisation and Calculus of Variations, 25, 62. DOI: 10.1051/cocv/2018062


JYU authors or editors


Publication details

All authors or editors: Gerolin, Augusto; Kausamo, Anna; Rajala, Tapio

Journal or series: ESAIM : Control Optimisation and Calculus of Variations

ISSN: 1292-8119

eISSN: 1262-3377

Publication year: 2019

Volume: 25

Article number: 62

Publisher: EDP sciences

Publication country: France

Publication language: English

DOI: http://doi.org/10.1051/cocv/2018062

Open Access: Publication channel is not openly available

Web address of parallel published publication (pre-print): https://arxiv.org/abs/1805.00880


Abstract

In this paper we extend the duality theory of the multi-marginal optimal transport problem for cost functions depending on a decreasing function of the distance (not necessarily bounded). This class of cost functions appears in the context of SCE Density Functional Theory introduced in Strong-interaction limit of density-functional theory by Seidl [Phys. Rev. A 60 (1999) 4387].


Keywords: calculus of variations; mathematical optimisation

Free keywords: multi-marginal optimal transport; repulsive costs; Kantorovich duality


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Ministry reporting: Yes

Reporting Year: 2019

JUFO rating: 1


Last updated on 2020-09-07 at 11:50