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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
104085856
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
227 KB
Volume
195
Category
Article
ISSN
0167-2789

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Counting eigenvalues via the Krein signa
✍ Todd Kapitula; Panayotis G. Kevrekidis; Björn Sandstede 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 60 KB

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.