## The Steklov spectrum of cuboids

(joint with Alexandre Girouard, Iosif Polterovich and Alessandro Savo )

Published in *arXiv preprint*, 2017

We study the Steklov problem on cuboids of arbitrary dimension as a toy model for the Steklov spectrum on domains with non-smooth boundary. We derive two-term asymptotic formulae for the counting function of the eigenvalues, derive an isoperimetric inequality and study the concentration of eigenfunctions. ** Read more**