The wave equation approach to an inverse eigenvalue problem for an arbitrary multiply connected drum in ℝ2 with Robin boundary conditions
The spectral function μˆ(t)=∑j=1∞exp(−itμj1/2), where {μj}j=1∞ are the eigenvalues of the two-dimensional negative Laplacian, is studied for small |t| for a variety of domains, where −∞<t<∞ and i=−1. The dependencies of μˆ(t) on the connectivity of a domain and the Robin boundary conditions ar...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201005300 |
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