Title	Optimal transport between unequal dimensions
Creator	Pass, Brendan
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-04-11T15:21
Description	I will discuss joint work with Robert McCann on the optimal transport problem between densities supported on manifolds with different dimensions. We show that the problem is equivalent to a non-local analog of the Monge-Ampere equation. We also show that, under certain topological conditions, the solution is smooth if and only if a local variant of the equation admits a smooth, uniformly elliptic solution.
Extent	51 minutes
Subject	Mathematics; Partial differential equations; Calculus of variations and optimal control; optimization
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Alberta
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-10-09
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0356570
URI	http://hdl.handle.net/2429/63220
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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