On the Hamiltonian–Krein index for a non-self-adjoint spectral problem

DOI10.1090/proc/14048zbMath1394.35302arXiv1712.01702OpenAlexW2773581508WikidataQ62469414 ScholiaQ62469414MaRDI QIDQ4577165

Noema Nicolussi, Aleksey S. Kostenko

Publication date: 17 July 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.01702

zbMATH Keywords

Krein spaceSchrödinger equationHamiltonian-Krein instability index

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Eigenvalue problems for linear operators (47A75) (Semi-) Fredholm operators; index theories (47A53)

Related Items (1)

Spectral instability of the peaked periodic wave in the reduced Ostrovsky equations

Cites Work

• On the spectral problem \(\mathcal{L}u=\lambda u'\) and applications
• Perturbation theory for linear operators.
• Spectral and dynamical stability of nonlinear waves
• Spectra of positive and negative energies in the linearized NLS problem
• Spectral theory of operators in spaces with an indefinite metric. I
• Analysis of the linearization around a critical point of an infinite dimensional hamiltonian system
• Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems
• Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems
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