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Gap estimates of the spectrum of the Zakharov-Shabat system


Grébert, B; Kappeler, T; Mityagin, B (1998). Gap estimates of the spectrum of the Zakharov-Shabat system. Applied Mathematics Letters, 11(4):95-97.

Abstract

We prove new gap estimates for the Zakharov-Shabat systems with complex periodic potentials. Our method allows us to characterize in a precise way the decreasing properties of the gap length sequence in terms of the regularity of complex potentials in weighted Sobolev spaces.

We prove new gap estimates for the Zakharov-Shabat systems with complex periodic potentials. Our method allows us to characterize in a precise way the decreasing properties of the gap length sequence in terms of the regularity of complex potentials in weighted Sobolev spaces.

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16 citations in Web of Science®
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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:periodic spectrum; Lyapunov-Schmidt method; Zakharov-Shabat systems with complex periodic potentials; gap length
Language:English
Date:1998
Deposited On:29 Nov 2010 16:28
Last Modified:05 Apr 2016 13:26
Publisher:UNSPECIFIED
ISSN:0893-9659
Publisher DOI:https://doi.org/10.1016/S0893-9659(98)00063-9
Related URLs:http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0940.35186

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