English

The five gradients inequality for non quadratic costs

Analysis of PDEs 2022-10-14 v1 Optimization and Control

Abstract

We give a proof of the "five gradients inequality" of Optimal Transportation Theory for general costs of the form c(x,y)=h(xy)c(x,y)=h(x-y) where hh is a C1C^1 strictly convex radially symmetric function.

Keywords

Cite

@article{arxiv.2210.06809,
  title  = {The five gradients inequality for non quadratic costs},
  author = {Thibault Caillet},
  journal= {arXiv preprint arXiv:2210.06809},
  year   = {2022}
}