On the inner radius of the nonvanishing set for eigenfunctions of complex elliptic operators

Henrik Ueberschaer, Omer Friedland

Let $\Omega \subset {\mathbb{R}}^d$ be any open set. We consider solutions of $H{\psi }_{\lambda }=\lambda {\psi }_{\lambda }$, $\lambda \in \mathbb{C}$, where $H$ is an $m$th order complex constant-coefficient elliptic partial differ…