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arxiv: 1904.13211 · v1 · pith:6JAXICK6new · submitted 2019-04-30 · 🧮 math.PR

Revisiting Fortet's proof of existence of a solution to the Schr\"odinger system

classification 🧮 math.PR
keywords existencefortetodingerschrsolutionproblemproofsystem
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Since a few years, the Schr\"odinger problem captures the attention of a growing community of mathematicians interested in optimal transport problems. The first result of existence of a solution to this problem dates back to 1940, when Fortet published an article on the subject. In these notes, Fortet's original proof of existence and uniqueness of a solution to the Schr\"odinger system is revisited.

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