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 Schr{\"o}dinger system which arises in the entropic regularization of optimal transport problems.
@article{arxiv.1811.05207,
title = {A differential approach to the multi-marginal Schr{\"o}dinger system},
author = {Guillaume Carlier and Maxime Laborde},
journal= {arXiv preprint arXiv:1811.05207},
year = {2018}
}