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Author ORCID Identifier
N/A
AccessType
Open Access Dissertation
Document Type
dissertation
Degree Name
Doctor of Philosophy (PhD)
Degree Program
Mathematics
Year Degree Awarded
2018
Month Degree Awarded
September
First Advisor
Andrea Nahmod
Subject Categories
Analysis
Abstract
In this thesis we consider the Cauchy initial value problem for the defocusing quintic nonlinear Schrödinger equation in two dimensions. We take general data in the critical homogeneous Sobolev space dot H1/2. We show that if a solution remains bounded in dot H1/2 in its maximal time interval of existence, then the time interval is infinite and the solution scatters.
DOI
https://doi.org/10.7275/12761272
Recommended Citation
Yu, Xueying, "Global well-posedness and scattering for the defocusing quintic nonlinear Schrödinger equation in two dimensions" (2018). Doctoral Dissertations. 1395.
https://doi.org/10.7275/12761272
https://scholarworks.umass.edu/dissertations_2/1395