Stefano Decio Reveals New Bounds on Zero Sets of Steklov Eigenfunctions 🔍

Steklov eigenfunctions in a bounded domain are harmonic functions whose normal derivative at the boundary is proportional to the function itself. I will discuss recent results on the Hausdorff measure of their zero sets, focusing mainly on upper bounds. Comparisons with the somewhat better understood case of Laplace eigenfunctions will be provided.