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
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 . Furthermore we use the interaction Morawetz estimate to prove long time scattering behavior of the solutions in the usual Sobolev space H^1.
Ifekaonwu, Kenneth C., "Well-posedness and Scattering of Magnetic Nonlinear Schrodinger Equation in 3D" (2023). Electronic Theses and Dissertations. 2538.
Research Data and Supplementary Material
Available for download on Tuesday, April 04, 2028