Transport and Concentration Problems with Interaction Effects
Optimization and Control
2007-05-23 v1 Classical Analysis and ODEs
Abstract
After presenting an overview about variational problems on probability measures for functionals involving transport costs and extra terms encouraging or discouraging concentration, we look for optimality conditions, regularity properties and explicit computations in the case where Wasserstein distances and interaction energies are considered.
Keywords
Cite
@article{arxiv.math/0508209,
title = {Transport and Concentration Problems with Interaction Effects},
author = {Filippo Santambrogio},
journal= {arXiv preprint arXiv:math/0508209},
year = {2007}
}
Comments
12 pages