Hearing the shape of a compact Riemannian manifold with a finite number of piecewise impedance boundary conditions
The spectral function Θ(t)=∑i=1∞exp(−tλj), where {λj}j=1∞ are the eigenvalues of the negative Laplace-Beltrami operator −Δ, is studied for a compact Riemannian manifold Ω of dimension k with a smooth boundary ∂Ω, where a finite number of piecewise impedance boundary conditions (∂∂ni+γi)u=0 on the pa...
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| Hovedforfatter: | |
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| Format: | Artigo |
| Sprog: | Inglês |
| Udgivet: |
Wiley
1997-01-01
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| Serier: | International Journal of Mathematics and Mathematical Sciences |
| Fag: | |
| Online adgang: | http://dx.doi.org/10.1155/S0161171297000513 |
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