Sloshing, Steklov and corners: Asymptotics of Steklov eigenvalues for curvilinear polygons

Michael Levitin, Leonid Parnovski, Iosif Polterovich +1

We obtain asymptotic formulae for the Steklov eigenvalues and eigenfunctions of curvilinear polygons in terms of their side lengths and angles. These formulae are quite precise: th…