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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
E-Mail
carriec2@illinois.edu and ocannon2@illinois.edu
Views
47
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 region

Abstract: 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.

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