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Spectral asymptotics of Zahkarov Shabat operators and their application to the nonlinear Schrödinger equation on the circle

Presented by: 
T Kappeler Universität Zürich
Date: 
Monday 23rd March 2015 - 15:00 to 16:00
Venue: 
INI Seminar Room 1
Abstract: 
In this talk I will present asymptotics of various spectral quantities of Zahkarov Shabat operators and show how to apply them for proving that the nonlinear Fourier transform of the defocusing nonlinear Schrödinger equation on the circle (Birkhoff map)is the linear Fourier transform up to a nonlinear part which is 1-smoothing.Various implications will be discussed. This is joint work with Beat Schaad and Peter Topalov.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons