اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدTrace formulas and continuous dependence of spectra for the periodic conservative Camassa-Holm flow
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This article is concerned with the isospectral problem [ -f + frac{1}{4} f = zomega f + z^2 upsilon f ] for the periodic conservative Camassa-Holm flow, where $omega$ is a periodic real distribution in $H^{-1}_{mathrm{loc}}(mathbb{R})$ and $upsilon$ is a periodic non-negative Borel measure on $mathbb{R}$. 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$^ast$ topology.
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