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Optimal transportation with free end-times Palmer, Aaron

Description

We explore a dynamic formulation of the optimal transportation problem with the additional freedom to choose the end-time of each trajectory. The dual problem is then posed with a Hamilton-Jacobi variational inequality, which we analyze with the method of viscosity solutions. We find properties that imply the optimal stopping-time is the hitting-time of the free boundary to the variational inequality. Joint work with N. Ghoussoub and Y.H. Kim.

Item Metadata

Title
Optimal transportation with free end-times
Creator
Palmer, Aaron
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2018-04-10T11:20
Description
We explore a dynamic formulation of the optimal transportation problem with the additional freedom to choose the end-time of each trajectory. The dual problem is then posed with a Hamilton-Jacobi variational inequality, which we analyze with the method of viscosity solutions. We find properties that imply the optimal stopping-time is the hitting-time of the free boundary to the variational inequality. Joint work with N. Ghoussoub and Y.H. Kim.
Extent
41 minutes
Subject
Mathematics; Partial differential equations; Statistical mechanics, structure of matter
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: University of British Columbia
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2018-10-09
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0372467
URI
http://hdl.handle.net/2429/67419
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Postdoctoral
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International