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Trace formulas and continuous dependence of spectra for the periodic conservative Camassa–Holm flow
journal contribution
posted on 2020-02-18, 14:12 authored by Jonathan EckhardtJonathan Eckhardt, Aleksey Kostenko, Noema NicolussiThis article is concerned with the isospectral problem −f" +1/4f = z ωf + z2vf
for the periodic conservative Camassa–Holm flow, where ω is a periodic real distribution in H−1 loc (R) and υ is a periodic non-negative Borel measure on . We develop basic Floquet theory for this problem, derive trace formulas for the associated spectra and establish continuous dependence of these spectra on the coefficients with respect to a weak⁎ topology.
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School
- Science
Department
- Mathematical Sciences
Published in
Journal of Differential EquationsVolume
268Issue
6Pages
3016 - 3034Publisher
ElsevierVersion
- AM (Accepted Manuscript)
Rights holder
© ElsevierPublisher statement
This paper was accepted for publication in the journal Journal of Differential Equations and the definitive published version is available at https://doi.org/10.1016/j.jde.2019.09.048Acceptance date
2019-09-23Publication date
2019-09-30Copyright date
2020Notes
16 pages. arXiv admin note: text overlap with arXiv:1801.04612ISSN
0022-0396eISSN
1090-2732Publisher version
Language
- en
Depositor
Dr Jonathan Eckhardt . Deposit date: 17 February 2020Usage metrics
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