On the spectrum of the negative Laplacian for general doubly-connected bounded domains
This paper is devoted to asymptotic formulas for functions related with the spectrum of the standard Laplace operator in two and three dimensional bounded doubly connected domains with impedance boundary conditions, where the impedances are assumed to be positive functions. Moreover, asymptotic expr...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000305 |
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| _version_ | 1832560229203574784 |
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| author | E. M. E. Zayed A. I. Younis |
| author_facet | E. M. E. Zayed A. I. Younis |
| author_sort | E. M. E. Zayed |
| collection | DOAJ |
| description | This paper is devoted to asymptotic formulas for functions related with the spectrum
of the standard Laplace operator in two and three dimensional bounded doubly connected domains
with impedance boundary conditions, where the impedances are assumed to be positive functions.
Moreover, asymptotic expressions for the difference of eigenvalues related to impedance boundary
value problems with different impedances are derived. Further results may be obtained. |
| format | Article |
| id | doaj-art-1d893492813d4570a4130288a20f2acd |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1d893492813d4570a4130288a20f2acd2025-02-03T01:28:01ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118224525410.1155/S0161171295000305On the spectrum of the negative Laplacian for general doubly-connected bounded domainsE. M. E. Zayed0A. I. Younis1Mathematics Department, Faculty of Science, Zagazig University, Zagazig, EgyptMathematics Department, Faculty of Science, Zagazig University, Zagazig, EgyptThis paper is devoted to asymptotic formulas for functions related with the spectrum of the standard Laplace operator in two and three dimensional bounded doubly connected domains with impedance boundary conditions, where the impedances are assumed to be positive functions. Moreover, asymptotic expressions for the difference of eigenvalues related to impedance boundary value problems with different impedances are derived. Further results may be obtained.http://dx.doi.org/10.1155/S0161171295000305eigenvalues of the negative Laplaciandoubly connected domainsimpedance eigenvalue problemasymptotic expansions of the heat kernel. |
| spellingShingle | E. M. E. Zayed A. I. Younis On the spectrum of the negative Laplacian for general doubly-connected bounded domains International Journal of Mathematics and Mathematical Sciences eigenvalues of the negative Laplacian doubly connected domains impedance eigenvalue problem asymptotic expansions of the heat kernel. |
| title | On the spectrum of the negative Laplacian for general
doubly-connected bounded domains |
| title_full | On the spectrum of the negative Laplacian for general
doubly-connected bounded domains |
| title_fullStr | On the spectrum of the negative Laplacian for general
doubly-connected bounded domains |
| title_full_unstemmed | On the spectrum of the negative Laplacian for general
doubly-connected bounded domains |
| title_short | On the spectrum of the negative Laplacian for general
doubly-connected bounded domains |
| title_sort | on the spectrum of the negative laplacian for general doubly connected bounded domains |
| topic | eigenvalues of the negative Laplacian doubly connected domains impedance eigenvalue problem asymptotic expansions of the heat kernel. |
| url | http://dx.doi.org/10.1155/S0161171295000305 |
| work_keys_str_mv | AT emezayed onthespectrumofthenegativelaplacianforgeneraldoublyconnectedboundeddomains AT aiyounis onthespectrumofthenegativelaplacianforgeneraldoublyconnectedboundeddomains |