Floating mats and sloping beaches: spectral asymptotics of the Steklov problem on polygons
- Date: Wednesday 27 February 2019, 16:30 – 17:30
- Location: Roger Stevens LT 14 (10M.14)
- Type: Analysis and Applications, Seminars, Pure Mathematics
- Cost: Free
Leonid Parnovski, UCL. Part of the Analysis and Applications Seminar Series.
I will discuss the asymptotic behaviour of the eigenvalues of the Steklov problem (aka Dirichlet-to-Neumann operator) on curvilinear polygons. The answer is completely unexpected and depends on the arithmetic properties of the angles of the polygon.