Long Time Solutions of the Nonlinear Schrödinger Equation with a Magnetic Field
I will address the long time existence and scattering problem for the nonlinear Schrödinger equation in the presence of a magnetic field. As I will show, this phenomenon is a consequence of the interaction between the negative and positive potentials.
Southeastern Atlantic Regional Conference on Differential Equations (SEARCDE)
"Long Time Solutions of the Nonlinear Schrödinger Equation with a Magnetic Field."
Mathematical Sciences Faculty Presentations.