- 00-22 B. Grebert, T. Kappeler
- Estimates on periodic and Dirichlet eigenvalues for the Zakharov-Shabat system
(113K, latex)
Jan 17, 00
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Abstract. We prove new estimates on periodic and Dirichlet eigenvalues for the
Zakharov-Shabat system 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 regularity of complex potentials
in weighted Sobolev spaces.
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