Concentration and non-concentration of eigenfunctions of second-order elliptic operators with a divergence form in layered media

Matania Ben-Artzi, Yves Dermenjian

Let $\Omega$ ' $\subset$ R^d , d = 1, 2, . . . be an open bounded smooth domain, and $\Omega ={\Omega }^{\prime }\times (0,H)\subset {\mathbb{R}}^d\times {\mathbb{R}}_{+}.$ The coordinates in $\Omega$ are designated a…