Harmonic Analysis and Differential Equations Seminar
- Event Type
- Seminar/Symposium
- Sponsor
- Department of Mathematics
- Location
- Altgeld Hall 145
- Date
- Feb 4, 2025 1:00 pm
- Speaker
- Burak Erdogan
- Contact
- Carrie Clark and Olivia Clifton
- carriec2@illinois.edu, ocannon2@illinois.edu
- Views
- 117
- Originating Calendar
- Harmonic Analysis and Differential Equations Seminar (HADES)
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.