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A differential approach to the multi-marginal Schrödinger system

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-01918578
Contributor : Maxime Laborde <>
Submitted on : Monday, November 12, 2018 - 6:47:48 PM
Last modification on : Thursday, June 18, 2020 - 12:32:06 PM
Document(s) archivé(s) le : Wednesday, February 13, 2019 - 5:00:22 PM

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  • HAL Id : hal-01918578, version 2
  • ARXIV : 1811.05207

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Guillaume Carlier, Maxime Laborde. A differential approach to the multi-marginal Schrödinger system. 2018. ⟨hal-01918578v2⟩

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