Non-concentration estimates for Laplace eigenfunctions on compact $C^{\infty }$ manifolds with boundary

Hans Christianson, John A. Toth

Let $\hat{I}\text{c◯}$ be an $n$-dimensional compact Riemannian manifold $(n\ge 3)$ with $C^{\infty }$ boundary, and consider $L^2$-normalized eigenfunctions $-\hat{I}”\ddot{I}{•}_{\hat{I}}»=\hat{I}{»}^2\ddot{I}{•}_{\hat{I}}»$ with Dirich…