Forward untangling and applications to the uniqueness problem for the continuity equation

Bianchini, Stefano; Bonicatto, Paolo

dc.contributor.author	Bianchini, Stefano
dc.contributor.author	Bonicatto, Paolo
dc.date.accessioned	2020-05-22T10:26:11Z
dc.date.available	2020-05-22T10:26:11Z
dc.date.issued	2020-05
dc.identifier.uri	http://preprints.sissa.it:8180/xmlui/handle/1963/35352
dc.description	Contents: Introduction: Synopsis of the paper Acknowledgements. 1. Notation. 2. Preliminaries on Lagrangian representations, proper sets and Optimal Transport. 2.1. Lagrangian representations. 2.2. Proper sets. 2.3. Optimal transport and duality. 3. Optimal transport and duality. 4. The global theory of forward untangling. 4.1. Subadditivity of untangling functional. 5. Uniqueness by forward untangling. 5.1. Decomposition and disintegration. 5.2. Composition rule. 6. Monotone vector ﬁelds. References.	en_US
dc.language.iso	en	en_US
dc.publisher	SISSA	en_US
dc.relation.ispartofseries	SISSA;10/2020/MATE
dc.subject	transport equation	en_US
dc.subject	continuity equation	en_US
dc.subject	uniqueness	en_US
dc.subject	Superposition Principle	en_US
dc.title	Forward untangling and applications to the uniqueness problem for the continuity equation	en_US
dc.type	Preprint	en_US