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Date Available
7-1-2017
Year of Publication
2017
Document Type
Doctoral Dissertation
Degree Name
Doctor of Philosophy (PhD)
College
Arts and Sciences
Department/School/Program
Mathematics
Faculty
Dr. Peter Perry
Faculty
Dr. Peter Hislop
Abstract
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 that can support bright solitons.
Digital Object Identifier (DOI)
https://doi.org/10.13023/ETD.2017.253
Recommended Citation
Liu, Jiaqi, "Global Well-posedness for the Derivative Nonlinear Schrödinger Equation Through Inverse Scattering" (2017). Theses and Dissertations--Mathematics. 50.
https://uknowledge.uky.edu/math_etds/50
