Nonlinear Spectral Decompositions by Gradient Flows of One-Homogeneous Functionals

This paper establishes a theory of nonlinear spectral decompositions by considering the eigenvalue problem related to an absolutely one-homogeneous functional in an infinite-dimensional Hilbert space. This approach is both motivated by works for the total variation, where interesting results on the...

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Bibliographic Details

Published in:	arXiv.org
Main Authors:	Bungert, Leon, Burger, Martin, Chambolle, Antonin, Novaga, Matteo
Format:	Paper
Language:	English
Published:	Ithaca Cornell University Library, arXiv.org 19.09.2021
Subjects:	Biological evolution Decomposition Eigenvalues Eigenvectors Equivalence Extinction Fields (mathematics) Gradient flow Hilbert space Norms Orthogonality Regularization Spectra Variational methods
ISSN:	2331-8422
Online Access:	Get full text
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