3 problems

Let $(\Omega,g)$ be an $n$-dimensional compact $C^{\infty}$ Riemannian manifold with boundary $M$. Let ${\mathcal D}$ be the Dirichlet-to-Neumann operator on $M$, and let $u_h$ be…

Let $(\Omega,g)$ be a compact smooth Riemannian manifold of dimension $n+1$ with boundary $M$, and let $u_h$ be a Steklov eigenfunction whose boundary restriction is $L^2$-normaliz…

Let $(\Omega,g)$ be a compact Riemannian manifold with real-analytic metric and boundary $M=\partial\Omega$. Let $\varphi_h$ be a Steklov eigenfunction on $M$ with semiclassical pa…