Gap estimates of the spectrum of the Zakharov-Shabat system

✍ Scribed by B. Grébert; T. Kappeler; B. Mityagin

• Book ID: 104350081
• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 160 KB
• Volume: 11
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(98)00063-9

✦ Synopsis

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. (~) 1998 Elsevier Science Ltd. All rights reserved.