On the Regularity of Optimal Transportation Potentials on Round Spheres
-
Altmetric Citations
Description
In this paper the regularity of optimal transportation potentials defined on round spheres is investigated. Specifically, this research generalises the calculations done by Loeper, where he showed that the strong (A3) condition of Trudinger and Wang is satisfied on the round sphere, when the cost-function is the geodesic distance squared. In order to generalise Loeper's calculation to a broader class of cost-functions, the (A3) condition is reformulated via a stereographic projection that maps...[Show more]
Collections | ANU Research Publications |
---|---|
Date published: | 2012 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/31714 |
Source: | Acta Applicandae Mathematicae |
DOI: | 10.1007/s10440-012-9764-5 |
Download
File | Description | Size | Format | Image |
---|---|---|---|---|
01_Von Nessi_On_the_Regularity_of_Optimal_2012.pdf | 776.28 kB | Adobe PDF | Request a copy |
Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.
Updated: 19 May 2020/ Responsible Officer: University Librarian/ Page Contact: Library Systems & Web Coordinator