Harmonic Analysis and Differential Equations Seminar
- Event Type
- Seminar/Symposium
- Sponsor
- Department of Mathematics
- Location
- Altgeld Hall 145
- Date
- Oct 29, 2024 1:00 pm
- Speaker
- Lawford Hatcher (Indiana University)
- Contact
- Carrie Clark and Olivia Clifton
- carriec2@illinois.edu and ocannon2@illinois.edu
- Views
- 83
- Originating Calendar
- Harmonic Analysis and Differential Equations Seminar (HADES)
Speaker: Lawford Hatcher (Indiana University)
Title: The hot spots conjecture with mixed boundary conditions and small Dirichlet regionAbstract: The hot spots conjecture of Rauch states that a second Neumann eigenfunction of the Laplacian on a simply connected domain in Euclidean space has no interior extrema. In the past year or so, researchers have begun to consider an analogous question about the first mixed Dirichlet–Neumann eigenfunction. We will present a new theorem showing that on convex domains with connected and sufficiently small Dirichlet region, the first mixed eigenfunction indeed has no interior critical points.
Lunch: before the talk at 11:30am at at the Intermezzo Cafe in Krannert Center.