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arXiv · 1811.05207

A differential approach to the multi-marginal Schr{\"o}dinger system

Guillaume Carlier·Maxime Laborde
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Abstract

We develop an elementary and self-contained differential approach, in an $L^\infty$ setting, for well-posedness (existence, uniqueness and smooth dependence with respect to the data) for the multi-marginal Schr{\"o}dinger system which arises in the entropic regularization of optimal transport problems.

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Guillaume Carlier, Maxime Laborde. 2018-11-13. A differential approach to the multi-marginal Schr{\"o}dinger system. https://arxiv.org/abs/1811.05207

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