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Density of finite gap potentials for the Zakharov–Shabat system

Article type: Research Article

Authors: Grébert, B. | Kappeler, T.

Affiliations: UMR 6629 CNRS, Université de Nantes, 2 rue de la Houssinière, BP 92208, 44322 Nantes cedex 3, France | 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.

Journal: Asymptotic Analysis, vol. 33, no. 1, pp. 1-8, 2003

Published: 2003
Price: EUR 27.50
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