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arxiv: 1811.05207 · v1 · pith:O36N2AAMnew · submitted 2018-11-13 · 🧮 math.FA · math.AP

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

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keywords approachdifferentialdingermulti-marginalschrsystemarisesdata
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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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