Title	Minimal $k$-partition for the $p$-norm of the eigenvalues
Creator	Bonnaillie-Noël, Virginie
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-07-03T10:21
Description	In this talk,we analyze the connections between the nodal domains of the eigenfunctions of the Dirichlet-Laplacian and the partitions of the domain by $ k$ open sets $D_i$ which are minimal in the sense that the maximum over the $D_i$'s of the groundstate energy of the Dirichlet realization of the Laplacian is minimal. Instead of considering the maximum among the first eigenvalues, we can also consider the $p$-norm of the vector composed by the first eigenvalues of each subdomain.
Extent	46.0
Subject	Mathematics; Numerical analysis; Computer science; Global analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: CNRS, École normale supérieure
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-20
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377216
URI	http://hdl.handle.net/2429/68986
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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