2 papers
math.AP2024
Dichotomy Results for the Electromagnetic Schrödinger Equation
Magdalena Czubak, Ian Miller, Svetlana Roudenko
The electromagnetic nonlinear Schrödinger (emNLS) equation is a variant of the well-studied nonlinear Schrödinger equation. In this article, we consider questions of global exist…
math.AP2024
Scattering and Blow-Up in Both Time Directions Above the Ground State for the Focusing Nonlinear Schrödinger Equation
Ian Miller
In this article we obtain new scattering and blow-up solutions for intercritical focusing nonlinear Schrödinger equations (NLS) above the ground state mass-energy threshold. The m…