Annotation
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.
Received: 2016 January 19
Approved: 2016 October 12
PACS:
02.30.Jr Partial differential equations
© 2016 Publisher M.V.Lomonosov Moscow State University
Authors
A.L. Delitsyn
Department of Mathematics, Faculty of Physics, Lomonosov Moscow State University, Moscow 119991, Russia.
Department of Mathematics, Faculty of Physics, Lomonosov Moscow State University, Moscow 119991, Russia.
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