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
Yan Wu
Abstract
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.
Recommended Citation
Ifekaonwu, Kenneth C., "Well-posedness and Scattering of Magnetic Nonlinear Schrodinger Equation in 3D" (2023). Electronic Theses and Dissertations. 2538.
https://digitalcommons.georgiasouthern.edu/etd/2538
Research Data and Supplementary Material
No
