Term of Award

Spring 2023

Degree Name

Master of Science in Mathematics (M.S.)

Document Type and Release Option

Thesis (restricted to Georgia Southern)

Copyright Statement / License for Reuse

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


Department of Mathematical Sciences

Committee Chair

Yi Hu

Committee Member 1

Shijun Zheng

Committee Member 2

Yan Wu


This thesis is a survey on the theory of the well-posedness and scattering of the magnetic nonlinear Schr ̈odinger equation (mainly in 3 dimensions). We elaborate on the well-posedness using Strichartz estimates and conversations laws in [5]. Furthermore we use the interaction Morawetz estimate to prove long time scattering behavior of the solutions in the usual Sobolev space H^1.

Research Data and Supplementary Material


Available for download on Tuesday, April 04, 2028