Differential Equations and Nonlinear Analysis Seminar: Jacopo Schino, NC State, Orbital stability of ground states to Schrödinger equations with mass constraint
ZoomI will discuss the existence and orbital stability of standing-wave solutions (i.e., with a specific time-dependence) with minimal energy (so-called ground states) to a non-linear Schrödinger equation where the L² norm is prescribed. I will focus on the simpler case where the energy is bounded below and show a novel approach that simplifies the proof. Zoom Meeting: link