On the equivalence of static and dynamic weak optimal transport
Optimization and Control
2026-03-23 v3 Analysis of PDEs
Probability
Abstract
We show that there is a PDE formulation in terms of Fokker-Planck equations for weak optimal transport problems. The main novelty is that we introduce a minimization problem involving Fokker-Planck equations in the extended sense of measure-valued solutions and prove that it is equal to the associated weak transport problem.
Keywords
Cite
@article{arxiv.2311.13872,
title = {On the equivalence of static and dynamic weak optimal transport},
author = {Bohdan Bulanyi},
journal= {arXiv preprint arXiv:2311.13872},
year = {2026}
}
Comments
Minor corrections, 29 pages. To appear in Comptes Rendus Math\'ematique