Polynomial upper bound on interior Steklov nodal sets
Bogdan Georgiev, Guillaume Roy-Fortin · Journal of Spectral Theory · 2019
We study solutions of uniformly elliptic PDE with Lipschitz leading coefficients and bounded lower order coefficients. We extend previous results of A. Logunov ([9]) concerning nodal sets of harmonic functions and, in particular, prove polynomial upper bounds on interior nodal sets of Steklov eigenfunctions in terms of the corresponding eigenvalue \lambda .