23 citations · 242 across the 47 of their papers we have counts for
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Asymptotics of spectral quantities of Zakharov-Shabat operators
T. Kappeler, B. Schaad, P. Topalov
In this paper we provide new asymptotic estimates of various spectral quantities of Zakharov-Shabat operators on the circle. These estimates are uniform on bounded subsets of poten…
Generic non-selfadjoint Zakharov-Shabat operators
T. Kappeler, P. Lohrmann, P. Topalov
In this paper we develop tools to study families of non-selfadjoint operators , characterized by the property that the spectrum of is (partially) simple. As a…
Asymptotics of spectral quantities of Schrödinger operators
T. Kappeler, B. Schaad, P. Topalov
In this paper we provide new asymptotic estimates of the Floquet exponents of Schrödinger operators on the circle. By the same techniques, known asymptotic estimates of various oth…
The Miura Map on the Line
Thomas Kappeler, Peter Perry, Mikhail Shubin +1
The Miura map (introduced by Miura) is a nonlinear map between function spaces which transforms smooth solutions of the modified Korteweg - de Vries equation (mKdV) to solutions of…