An inverse eigenvalue problem for an arbitrary multiply connected bounded region in R2
The basic problem is to determine the geometry of an arbitrary multiply connected bounded region in R2 together with the mixed boundary conditions, from the complete knowledge of the eigenvalues {λi}j=1∞ for the Laplace operator, using the asymptotic expansion of the spectral function θ(t)=∑j=1∞exp(...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1991-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171291000777 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832567878428131328 |
|---|---|
| author | E. M. E. Zayed |
| author_facet | E. M. E. Zayed |
| author_sort | E. M. E. Zayed |
| collection | DOAJ |
| description | The basic problem is to determine the geometry of an arbitrary multiply connected bounded
region in R2 together with the mixed boundary conditions, from the complete knowledge of the eigenvalues
{λi}j=1∞ for the Laplace operator, using the asymptotic expansion of the spectral function θ(t)=∑j=1∞exp(−tλi) as t→0. |
| format | Article |
| id | doaj-art-89134cd6a1f442fab7d979f75c132ea7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1991-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-89134cd6a1f442fab7d979f75c132ea72025-02-03T01:00:22ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114357157910.1155/S0161171291000777An inverse eigenvalue problem for an arbitrary multiply connected bounded region in R2E. M. E. Zayed0Mathematics Department, Faculty of Science, Zagazig University, Zagazig, EgyptThe basic problem is to determine the geometry of an arbitrary multiply connected bounded region in R2 together with the mixed boundary conditions, from the complete knowledge of the eigenvalues {λi}j=1∞ for the Laplace operator, using the asymptotic expansion of the spectral function θ(t)=∑j=1∞exp(−tλi) as t→0.http://dx.doi.org/10.1155/S0161171291000777inverse problemLaplace's operatoreigenvalue problemspectral function. |
| spellingShingle | E. M. E. Zayed An inverse eigenvalue problem for an arbitrary multiply connected bounded region in R2 International Journal of Mathematics and Mathematical Sciences inverse problem Laplace's operator eigenvalue problem spectral function. |
| title | An inverse eigenvalue problem for an arbitrary multiply connected bounded region in R2 |
| title_full | An inverse eigenvalue problem for an arbitrary multiply connected bounded region in R2 |
| title_fullStr | An inverse eigenvalue problem for an arbitrary multiply connected bounded region in R2 |
| title_full_unstemmed | An inverse eigenvalue problem for an arbitrary multiply connected bounded region in R2 |
| title_short | An inverse eigenvalue problem for an arbitrary multiply connected bounded region in R2 |
| title_sort | inverse eigenvalue problem for an arbitrary multiply connected bounded region in r2 |
| topic | inverse problem Laplace's operator eigenvalue problem spectral function. |
| url | http://dx.doi.org/10.1155/S0161171291000777 |
| work_keys_str_mv | AT emezayed aninverseeigenvalueproblemforanarbitrarymultiplyconnectedboundedregioninr2 AT emezayed inverseeigenvalueproblemforanarbitrarymultiplyconnectedboundedregioninr2 |