Plummeting and blinking eigenvalues of the Robin Laplacian in a cuspidal domain

Sergei A. Nazarov, Nicolas Popoff, Jari Taskinen

We consider the Robin Laplacian in the domains $\Omega$ and ${\Omega }^{\epsilon }$, $\epsilon >0$, with sharp and blunted cusps, respectively. Assuming that the Robin coefficient $a$ is lar…