English

Lecture notes on the harmonic approximation to quadratic optimal transport

Analysis of PDEs 2023-03-28 v1

Abstract

These lecture notes present the quantitative harmonic approximation result for quadratic optimal transport and general measures obtained by Goldman and Otto. The aim is to give a clear presentation of the proof of the main theorem with more motivations, less PDE machinery, and a number of simplifications.

Keywords

Cite

@article{arxiv.2303.14462,
  title  = {Lecture notes on the harmonic approximation to quadratic optimal transport},
  author = {Lukas Koch and Felix Otto},
  journal= {arXiv preprint arXiv:2303.14462},
  year   = {2023}
}
R2 v1 2026-06-28T09:33:29.238Z