MenuMathematical Physics and Harmonic Analysis Seminar
Date: October 9, 2019
Time: 1:50PM - 2:50PM
Location: BLOC 624
Speaker: Michael Levitin, University of Reading (UK)
Title: Asymptotics of Steklov eigenvalues for curvilinear polygons (Unusual date and room!)
Abstract: I will discuss sharp asymptotics of large Steklov eigenvalues for curvilinear polygons. The asymptotic expressions for eigenvalues are given in terms of roots of some trigonometric polynomials which depend explicitly on the side lengths and angles of the polygon.
The proofs involve some classical hydrodynamics results related to a sloping beach problem, and to a sloshing problem. I’ll also state some open questions. The talk will be based on joint works with Leonid Parnovski, Iosif Polterovich, and David Sher, see arXiv:1908.06455 and arXiv:1709.01891.
