Global Well-posedness for the Derivative Nonlinear Schrödinger Equation Through Inverse Scattering

We study the Cauchy problem of the derivative nonlinear Schrodinger equation in one space dimension. Using the method of inverse scattering, we prove global well-posedness of the derivative nonlinear Schrodinger equation for initial conditions in a dense and open subset of weighted Sobolev space tha...

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Bibliographic Details
Main Author: Liu, Jiaqi
Format: Others
Published: UKnowledge 2017
Subjects:
Online Access:http://uknowledge.uky.edu/math_etds/50
http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1051&context=math_etds