Year of Publication
Doctor of Philosophy (PhD)
Arts and Sciences
Dr. Peter Perry
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)
Liu, Jiaqi, "Global Well-posedness for the Derivative Nonlinear Schrödinger Equation Through Inverse Scattering" (2017). Theses and Dissertations--Mathematics. 50.