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

Yongki Lee


A study of the initial value problems of some nonlinear Schrödinger equations is presented, as well as a study of local wellposedness. We elaborated on local wellposedness in both H^s and H^1 Sobolev spaces. For the Cauchy problem with harmonic potential, we studied the geometric pattern of the profiles of the solutions in a quantum mechanical model and its application using two explicit operators.

OCLC Number


Research Data and Supplementary Material


Available for download on Tuesday, April 11, 2028