Optimal transport problems with the squared distance cost function

Authors

Shibing Chen
Jiakun Liu, University of Wollongong

Publication Name

Scientia Sinica Mathematica

Abstract

The squared distance function is one of the most important cost functions in optimal transport problem and has significant applications in many fields. In this paper, we briefly introduce the optimal transport problems under this cost function, including the existence, regularity, and partial regularity of solutions, as well as related free boundary problems.

Open Access Status

This publication is not available as open access

Volume

54

Issue

5

First Page

775

Last Page

783