Title	Determination of the size of an inclusion from one boundary measurement at a specific moment of time
Creator	Mattei, Ornella
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-10-07T16:55
Description	In this talk we will show an application of the theory of Herglotz-Nevannlina functions for the linear viscoelastic problem, the dielectric problem and the conductivity problem in the time domain. Specifically, by using the analyticity of the Dirichlet-to-Neumann map which relates the applied field on the boundary to the corresponding measured field on the boundary one can determine bounds on the response of the body for any moment of time. Such bounds are tighter the more information regarding the body is incorporated. By tailoring the time-dependent applied field so that the bounds incorporating the volume of the inclusion are extremely tight at specific moments of time, one can then use them in an inverse fashion to determine the size of the inclusion.
Extent	31.0 minutes
Subject	Mathematics; Mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Utah
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-04-05
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0389739
URI	http://hdl.handle.net/2429/73910
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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Determination of the size of an inclusion from one boundary measurement at a specific moment of time Mattei, Ornella

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