GAP ESTIMATES OF THE SPECTRUM OF THE ZAKHAROV-SHABAT SYSTEM

Authors
GREBERT B KAPPELER T MITYAGIN B
Citation
B. Grebert et al., GAP ESTIMATES OF THE SPECTRUM OF THE ZAKHAROV-SHABAT SYSTEM, Applied mathematics letters, 11(4), 1998, pp. 95-97
Citations number
7
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics letters → ACNP
ISSN journal
08939659
Volume
11
Issue
4
Year of publication
1998
Pages
95 - 97
Database
ISI
SICI code
0893-9659(1998)11:4<95:GEOTSO>2.0.ZU;2-9
Abstract
We prove new gap estimates for the Zakharov-Shabat systems with comple x periodic potentials. Our method allows us to characterize in a preci se way the decreasing properties of the gap length sequence in terms o f the regularity of complex potentials in weighted Sobolev spaces. (C) 1998 Elsevier Science Ltd. All rights reserved.