Localization of Eigenfunctions of the Laplace Operator in a Domain with a Perforated Barrier
A. L. Delitsyn · Computational Mathematics and Mathematical Physics · 2019
Abstract The localization of eigenfunctions of the Laplace operator in a domain divided by a perforated barrier is proven. The localization takes place with sufficiently small holes in the barrier. In this case, the measure of the barrier can be arbitrarily small.