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

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journal contribution
posted on 18.02.2020, 14:12 by Jonathan EckhardtJonathan Eckhardt, Aleksey Kostenko, Noema Nicolussi
This 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.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Journal of Differential Equations

Volume

268

Issue

6

Pages

3016 - 3034

Publisher

Elsevier

Version

AM (Accepted Manuscript)

Rights holder

© Elsevier

Publisher 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.2019.09.048

Acceptance date

23/09/2019

Publication date

2019-09-30

Copyright date

2020

Notes

16 pages. arXiv admin note: text overlap with arXiv:1801.04612

ISSN

0022-0396

eISSN

1090-2732

Language

en

Depositor

Dr Jonathan Eckhardt . Deposit date: 17 February 2020