Existence of optimal transport maps in very strict CD(K,∞) -spaces

Schultz, Timo

doi:10.1007/s00526-018-1414-y

dc.contributor.author	Schultz, Timo
dc.date.accessioned	2019-05-20T08:49:35Z
dc.date.available	2019-08-25T21:35:24Z
dc.date.issued	2018
dc.identifier.citation	Schultz, T. (2018). Existence of optimal transport maps in very strict CD(K,∞) -spaces. <i>Calculus of Variations and Partial Differential Equations</i>, <i>57</i>(5), Article 139. <a href="https://doi.org/10.1007/s00526-018-1414-y" target="_blank">https://doi.org/10.1007/s00526-018-1414-y</a>
dc.identifier.other	CONVID_30678449
dc.identifier.other	TUTKAID_81464
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/64072
dc.description.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.	fi
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Springer Berlin Heidelberg
dc.relation.ispartofseries	Calculus of Variations and Partial Differential Equations
dc.rights	In Copyright
dc.subject.other	Ricci curvature
dc.subject.other	optimal mass transportation
dc.subject.other	metric measure spaces
dc.subject.other	existence of optimal maps
dc.subject.other	branching geodesics
dc.title	Existence of optimal transport maps in very strict CD(K,∞) -spaces
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-201905162640
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.contributor.oppiaine	Matematiikka	fi
dc.contributor.oppiaine	Mathematics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.date.updated	2019-05-16T15:15:05Z
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.relation.issn	0944-2669
dc.relation.numberinseries	5
dc.relation.volume	57
dc.type.version	acceptedVersion
dc.rights.copyright	© Springer-Verlag GmbH Germany, part of Springer Nature 2018.
dc.rights.accesslevel	openAccess	fi
dc.subject.yso	differentiaaligeometria
dc.subject.yso	variaatiolaskenta
dc.subject.yso	mittateoria
dc.subject.yso	metriset avaruudet
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p16682
jyx.subject.uri	http://www.yso.fi/onto/yso/p11197
jyx.subject.uri	http://www.yso.fi/onto/yso/p13386
jyx.subject.uri	http://www.yso.fi/onto/yso/p27753
dc.rights.url	http://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi	10.1007/s00526-018-1414-y
dc.type.okm	A1