03/06/2019, 15:00 — 16:00 — Room P3.10, Mathematics Building
Richard Laugesen, University of Illinois at Urbana-Champaign
Spectrum of the Robin Laplacian: recent results, and open problems
I will discuss two recent theorems and one recent conjecture about maximizing or minimizing the first three eigenvalues of the Robin Laplacian of a simply connected planar domain. Conformal mappings and winding numbers play a key role in the geometric constructions. In physical terms, these eigenvalues represent decay rates for heat flow assuming a “partially insulating” boundary.
Joint with the CEAFEL seminar