Title	Analyzing Hamiltonian spectral problems via the Krein matrix
Creator	Kapitula, Todd
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-06-20T16:30
Description	The Krein matrix is a matrix-valued function which can be used to study Hamiltonian spectral problems. Akin to the Evans matrix, it has the property that it is singular when evaluated at an eigenvalue. Unlike the Evans matrix, it is not analytic, but is instead meromorphic. I will briefly go over its construction, and then apply it to the study of spectral stability of small periodic waves for a couple of equations.
Extent	40 minutes
Subject	Mathematics; Partial differential equations; Dynamical systems and ergodic theory; Functional analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Calvin College
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-12-18
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0362073
URI	http://hdl.handle.net/2429/64054
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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