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
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
Yi Hu
Committee Member 1
Shijun Zheng
Committee Member 2
Yongki Lee
Abstract
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.
Recommended Citation
Yusuff, Ahmeed O., "Survey Of Nonlinear Schrödinger Equations With Harmonic Potential" (2023). Electronic Theses and Dissertations. 2549.
https://digitalcommons.georgiasouthern.edu/etd/2549
Research Data and Supplementary Material
No
