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Density of finite gap potentials for the Zakharov-Shabat system


Grébert, B; Kappeler, T (2003). Density of finite gap potentials for the Zakharov-Shabat system. Asymptotic Analysis, 33(1):1-8.

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.

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.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:Zakharov-Shabat system; Asymptotic distribution of eigenvalues
Language:English
Date:2003
Deposited On:29 Nov 2010 16:26
Last Modified:05 Apr 2016 13:25
Publisher:IOS Press
ISSN:0921-7134
Official URL:http://iospress.metapress.com/content/kygl1nrp77wpcr4v/?p=aa481ba6bd5946f88b51250d89cbc61d
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1976048
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1037.34078

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