A differential approach to the multi-marginal Schrödinger system

Abstract : 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 Schrödinger system which arises in the entropic regularization of optimal transport problems.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-01918578
Contributor : Maxime Laborde <>
Submitted on : Monday, November 12, 2018 - 6:47:48 PM
Last modification on : Friday, April 19, 2019 - 4:55:07 PM
Long-term archiving on : Wednesday, February 13, 2019 - 5:00:22 PM

Files

schrodinger-multi-marge.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01918578, version 2
  • ARXIV : 1811.05207

Collections

Citation

Guillaume Carlier, Maxime Laborde. A differential approach to the multi-marginal Schrödinger system. 2018. ⟨hal-01918578v2⟩

Share

Metrics

Record views

47

Files downloads

32