Trace formulas and continuous dependence of spectra for the periodic conservative Camassa–Holm flow
journal contributionposted 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.
- Mathematical Sciences