Spreading of quasimodes in the Bunimovich stadium

Nicolas Burq, Andrew Hassell, Jared Wunsch

We consider Dirichlet eigenfunctions $u_{\lambda }$ of the Bunimovich stadium $S$, satisfying $(\Delta -{\lambda }^2)u_{\lambda }=0$. Write $S=R\cup W$ where $R$ is the central rectangle and $W$ denotes the…