Asymptotics of spectral quantities of Zakharov-Shabat operators

Abstract

In this paper we provide new asymptotic estimates of various spectral quantities of Zakharov-Shabat operators on the circle. These estimates are uniform on bounded subsets of potentials in Sobolev spaces.

Cited by in corpus (3)

• Scattering-like phenomena of the periodic defocusing NLS equation
• Semi-linearity of the non-linear Fourier transform of the defocusing NLS equation
• Spatial asymptotic expansions in the incompressible Euler equation