Density of finite gap potentials for the Zakharov–Shabat system
نویسنده
چکیده
For various spaces of potentials we prove that the set of finite gap potentials of the ZakharovShabat system is dense. In particular our result holds for Sobolev spaces and for spaces of analytic potentials of a given type. Posted at the Zurich Open Repository and Archive, University of Zurich ZORA URL: https://doi.org/10.5167/uzh-21875 Originally published at: Grébert, B; Kappeler, T (2003). Density of finite gap potentials for the Zakharov-Shabat system. Asymptotic Analysis, 33(1):1-8. Asymptotic Analysis 33 (2003) 1–8 1 IOS Press Density of finite gap potentials for the Zakharov–Shabat system B. Grébert a and T. Kappeler b a UMR 6629 CNRS, Université de Nantes, 2 rue de la Houssinière, BP 92208, 44322 Nantes cedex 3, France b Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland Abstract. For various spaces of potentials we prove that the set of finite gap potentials of the Zakharov–Shabat system is dense. In particular our result holds for Sobolev spaces and for spaces of analytic potentials of a given type. For various spaces of potentials we prove that the set of finite gap potentials of the Zakharov–Shabat system is dense. In particular our result holds for Sobolev spaces and for spaces of analytic potentials of a given type.
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