Trace formulas and continuous dependence of spectra for the periodic conservative Camassa-Holm flow

DOI10.1016/j.jde.2019.09.048zbMath1436.34077arXiv1907.01911OpenAlexW2954746145WikidataQ127188967 ScholiaQ127188967MaRDI QIDQ2288039

Jonathan Eckhardt, Noema Nicolussi, Aleksey S. Kostenko

Publication date: 16 January 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.01911

zbMATH Keywords

spectrumtrace formulasperiodic Camassa-Holm flow

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (11)

Minimization of lowest positive periodic eigenvalue for the Camassa–Holm equation with indefinite potential ⋮ Continuous dependence and estimates of eigenvalues for periodic generalized Camassa-Holm equations ⋮ Minimizations of positive periodic and Dirichlet eigenvalues for general indefinite Sturm-Liouville problems ⋮ On the optimization problems of the principal eigenvalues of measure differential equations with indefinite measures ⋮ Criterion for Lyapunov stability of periodic Camassa-Holm equations ⋮ Estimates for \(\delta\)-periodic eigenvalues of two-component Novikov system ⋮ Lyapunov-type stability criterion for periodic generalized Camassa-Holm equations ⋮ Sharp estimates of lowest positive Neumann eigenvalue for general indefinite Sturm-Liouville problems ⋮ Sharp bounds for Dirichlet eigenvalue ratios of the Camassa-Holm equations ⋮ Minimization of the first positive Neumann-Dirichlet eigenvalue for the Camassa-Holm equation with indefinite potential ⋮ A view of the peakon world through the lens of approximation theory

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