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...

Full description

Bibliographic Details
Main Author:	Liu, Jiaqi
Format:	Others
Published:	UKnowledge 2017
Subjects:	nonlinear dispersive equations solitons inverse scattering Riemann-Hilber problem Partial Differential Equations
Online Access:	http://uknowledge.uky.edu/math_etds/50 http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1051&context=math_etds

id	ndltd-uky.edu-oai-uknowledge.uky.edu-math_etds-1051
record_format	oai_dc
spelling	ndltd-uky.edu-oai-uknowledge.uky.edu-math_etds-10512017-07-12T17:16:07Z Global Well-posedness for the Derivative Nonlinear Schrödinger Equation Through Inverse Scattering Liu, Jiaqi 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. 2017-01-01T08:00:00Z text application/pdf http://uknowledge.uky.edu/math_etds/50 http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1051&context=math_etds Theses and Dissertations--Mathematics UKnowledge nonlinear dispersive equations solitons inverse scattering Riemann-Hilber problem Partial Differential Equations
collection	NDLTD
format	Others
sources	NDLTD
topic	nonlinear dispersive equations solitons inverse scattering Riemann-Hilber problem Partial Differential Equations
spellingShingle	nonlinear dispersive equations solitons inverse scattering Riemann-Hilber problem Partial Differential Equations Liu, Jiaqi Global Well-posedness for the Derivative Nonlinear Schrödinger Equation Through Inverse Scattering
description	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.
author	Liu, Jiaqi
author_facet	Liu, Jiaqi
author_sort	Liu, Jiaqi
title	Global Well-posedness for the Derivative Nonlinear Schrödinger Equation Through Inverse Scattering
title_short	Global Well-posedness for the Derivative Nonlinear Schrödinger Equation Through Inverse Scattering
title_full	Global Well-posedness for the Derivative Nonlinear Schrödinger Equation Through Inverse Scattering
title_fullStr	Global Well-posedness for the Derivative Nonlinear Schrödinger Equation Through Inverse Scattering
title_full_unstemmed	Global Well-posedness for the Derivative Nonlinear Schrödinger Equation Through Inverse Scattering
title_sort	global well-posedness for the derivative nonlinear schrödinger equation through inverse scattering
publisher	UKnowledge
publishDate	2017
url	http://uknowledge.uky.edu/math_etds/50 http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1051&context=math_etds
work_keys_str_mv	AT liujiaqi globalwellposednessforthederivativenonlinearschrodingerequationthroughinversescattering
_version_	1718495778037563392

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

Similar Items