On the localization of eigenfunctions of the Laplace operator in rectangular domains
- Autores: Delitsyn A.L.1
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Afiliações:
- Department of Physics
- Edição: Volume 71, Nº 4 (2016)
- Páginas: 363-367
- Seção: Theoretical and Mathematical Physics
- URL: https://journals.rcsi.science/0027-1349/article/view/164550
- DOI: https://doi.org/10.3103/S002713491604007X
- ID: 164550
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Resumo
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.
Sobre autores
A. Delitsyn
Department of Physics
Autor responsável pela correspondência
Email: delitsyn@mail.ru
Rússia, Moscow, 119991
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