Section: New Results

A differential approach to the multi-marginal Schrödinger system

G. Carlier, M. Laborde

In [30], 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 Schrödinger system which arises in the entropic regularization of optimal transport problems.