Title	On the inverse problem for the DN map on Lorentzian manifolds
Creator	Yang, Yang
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-05-31T14:30
Description	We consider the localized DN map on Lorentzian manifolds on a timelike set of the boundary. We show that we can recover the jet of the metric, the magnetic field and the potential on the boundary up to the natural gauge group of transformations. Next, we show that the DN map, properly localized, is an FIO associated to the lens relation and as such recovers the lens relation. We also show that the DN map recovers the light ray transform of the magnetic field and the potential in a stable way. This is a joint work with Plamen Stefanov.
Extent	32 minutes
Subject	Mathematics; Partial differential equations; Global analysis, analysis on manifolds
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Purdue University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-01-26
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0340014
URI	http://hdl.handle.net/2429/59837
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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