Talk by Rami Atar (Technion, Israel, visiting University of Washington)
Date and Time: Thursday, May 25, 11:00 AM in AP&M 5829.
Title: On the second Neumann eigenvalue
I will review results and open problems regarding simplicity
of the lowest nonzero Neumann Laplacian eigenvalue on domains, and
properties of the corresponding eigenfunctions related to the hot spots
conjecture. I'll present a new simplicity result for a family of smooth
planar domains, that is based on analysis of mirror couplings. Joint work
with K. Burdzy.