On the localization of eigenfunctions of the Laplace operator in rectangular domains
A. L. Delitsyn · Moscow University Physics Bulletin · 2016
The localization problem is considered for eigenfunctions of the Laplace operator in a domain that consists of two rectangles linked by a small hole. The localization of the eigenfunction is proven in a subdomain. The velocity is estimated for the convergence of an eigenvalue of the original problem to a subdomain eigenvalue.