Department of Mathematics - Master Calendar

View Full Calendar

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
E-Mail
carriec2@illinois.edu, ocannon2@illinois.edu
Views
74
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.

link for robots only