Revisiting Fortet's proof of existence of a solution to the Schrödinger system

Christian Léonard

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arXiv · 1904.13211

Revisiting Fortet's proof of existence of a solution to the Schrödinger system

Christian Léonard

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Abstract

Since a few years, the Schrödinger 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 Schrödinger system is revisited.

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Christian Léonard. 2019-04-30. Revisiting Fortet's proof of existence of a solution to the Schrödinger system. https://arxiv.org/abs/1904.13211

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