Email this article On the localization of eigenfunctions of the Laplace operator in rectangular domains
- Authors: Delitsyn A.L.1
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Affiliations:
- Department of Physics
- Issue: Vol 71, No 4 (2016)
- Pages: 363-367
- Section: Theoretical and Mathematical Physics
- URL: https://journal-vniispk.ru/0027-1349/article/view/164550
- DOI: https://doi.org/10.3103/S002713491604007X
- ID: 164550
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Abstract
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.
About the authors
A. L. Delitsyn
Department of Physics
Author for correspondence.
Email: delitsyn@mail.ru
Russian Federation, Moscow, 119991
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