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On hearing the shape of an arbitrary doubly-connected region in R2
| Content Provider | Semantic Scholar |
|---|---|
| Author | Zayed, Elsayed M. E. |
| Copyright Year | 1990 |
| Abstract | The basic problem in this paper is that of determining the geometry of an arbitrary doubly-connected region in R together with an impedance condition on its inner boundary and another impedance condition on its outer boundary, from the complete knowledge of the eigenvalues {<*/};£[ for the two-dimensional Laplacian using the asymptotic expansion of the spectral function 0(t) = £ ~ i exp(—fAy) for small positive /. |
| Starting Page | 472 |
| Ending Page | 483 |
| Page Count | 12 |
| File Format | PDF HTM / HTML |
| DOI | 10.1017/S0334270000006792 |
| Alternate Webpage(s) | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/13D944F2D08F62333BCA95D39CBD557B/S0334270000006792a.pdf/on_hearing_the_shape_of_an_arbitrary_doublyconnected_region_in_r2.pdf |
| Alternate Webpage(s) | https://doi.org/10.1017/S0334270000006792 |
| Volume Number | 31 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
