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Document Type

Open Access 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.

Included in

Analysis Commons

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