English

Generic uniqueness of optimal transportation networks

Analysis of PDEs 2023-07-31 v4

Abstract

We prove that for the generic boundary, in the sense of Baire categories, there exists a unique minimizer of the associated optimal branched transportation problem.

Keywords

Cite

@article{arxiv.2205.05023,
  title  = {Generic uniqueness of optimal transportation networks},
  author = {Gianmarco Caldini and Andrea Marchese and Simone Steinbrüchel},
  journal= {arXiv preprint arXiv:2205.05023},
  year   = {2023}
}