Speaker: Burak Erdogan (UIUC)
Title: Dispersive estimates for higher-order Schrodinger operators.
Abstract: We will discuss recent results on dispersive estimates for higher-order Schrodinger operators of the form $H=(-\Delta)^m+V$, where $m\in\mathbb N$ and $V$ is a real-valued potential. The focus will be on joint work with M. Goldberg (Cincinnati) and W. Green (Rose-Hulman). We obtain dispersive estimates when the potential belongs to a scaling-critical family of functions. The proof relies on Beceanu's operator-valued Wiener's theorem. If time permits, we will also discuss related results on the boundedness of wave operators.
Lunch: Before the talk at 12pm at Shawarma Joint.