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Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems

✍ Scribed by Todd Kapitula; Panayotis G. Kevrekidis; Björn Sandstede

Book ID: 104085938
Publisher: Elsevier Science
Year: 2005
Tongue: English
Weight: 60 KB
Volume: 201
Category: Article
ISSN: 0167-2789
DOI: 10.1016/j.physd.2004.11.015

No coin nor oath required. For personal study only.

✦ Synopsis

We improve [1: Theorem 3.2] by showing that the number of unstable eigenvalues plus the number of purely imaginary eigenvalues with negative Krein signature can be computed from the negative signature of the energy.

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