Spectrum of the Robin Laplacian: recent results, and open problems

Tuesday, September 3, 2019 - 2:00pm
Math Sci 111
Rick Laugesen
(University of Illinois, Urbana-Champaign)

I will discuss two recent theorems and one or two recent conjectures about extremizing the first three eigenvalues of the Robin Laplacian. Conformal mappings and winding numbers play a key role in the planar case. In physical terms, these eigenvalues represent decay rates for heat flow assuming a “partially insulating” boundary condition. 

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