Term of Award
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 of Mathematical Sciences
Committee Member 1
Committee Member 2
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.
Yusuff, Ahmeed O., "Survey Of Nonlinear Schrödinger Equations With Harmonic Potential" (2023). Electronic Theses and Dissertations. 2549.
Research Data and Supplementary Material
Available for download on Tuesday, April 11, 2028