Brenier-Schr{\"o}dinger problem on compact manifold with boundary
Probability
2022-06-07 v1
Abstract
We consider the Brenier-Schr{\"o}dinger problem on compact manifolds with boundary. In the spirit of a work by Arnaudon, Cruzeiro, L{\'e}onard and Zambrini, we study the kinetic property of regular solutions and obtain a link to the Navier-Stokes equations with an impermeability condition. We also enhance the class of models for which the problem admits a unique solution. This involves a method of taking quotients by reflection groups for which we give several examples.
Cite
@article{arxiv.2102.07410,
title = {Brenier-Schr{\"o}dinger problem on compact manifold with boundary},
author = {David García-Zelada and Baptiste Huguet},
journal= {arXiv preprint arXiv:2102.07410},
year = {2022}
}
Comments
26 pages