Existence of optimal transport maps in very strict CD(K,∞) -spaces
Abstract
We introduce a more restrictive version of the strict CD(K,∞) -condition, the so-called very strict CD(K,∞) -condition, and show the existence of optimal maps in very strict CD(K,∞) -spaces despite the possible lack of uniqueness of optimal plans.
Main Author
Format
Articles
Research article
Published
2018
Series
Subjects
Publication in research information system
Publisher
Springer Berlin Heidelberg
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201905162640Use this for linking
Review status
Peer reviewed
ISSN
0944-2669
DOI
https://doi.org/10.1007/s00526-018-1414-y
Language
English
Published in
Calculus of Variations and Partial Differential Equations
Citation
- Schultz, T. (2018). Existence of optimal transport maps in very strict CD(K,∞) -spaces. Calculus of Variations and Partial Differential Equations, 57(5), Article 139. https://doi.org/10.1007/s00526-018-1414-y
License
Copyright© Springer-Verlag GmbH Germany, part of Springer Nature 2018.