
A differential approach to the multi-marginal Schrödinger system
Carlier, Guillaume; Laborde, Maxime (2018), A differential approach to the multi-marginal Schrödinger system. https://basepub.dauphine.fr/handle/123456789/18494
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Type
Document de travail / Working paperExternal document link
https://hal.archives-ouvertes.fr/hal-01918578Date
2018Series title
Cahier de recherche CEREMADE, Université Paris-DauphinePages
12
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Show full item recordAuthor(s)
Carlier, GuillaumeCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Laborde, Maxime
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Department of Mathematics and Statistics [Toronto]
Abstract (EN)
We develop an elementary and self-contained differential approach, in an L ∞ setting, for well-posedness (existence, uniqueness and smooth dependence with respect to the data) for the multi-marginal Schrödinger system which arises in the entropic regularization of optimal transport problems.Subjects / Keywords
local and global inverse function theorems; Multi-marginal Schrödinger system; entropy minimizationRelated items
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