An inverse eigenvalue problem for an arbitrary multiply connected bounded region: an extension to higher dimensions

E. M. E. Zayed

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-8

Abstract:

The basic problem in this paper is that of detemnining the geometry of an arbitrary multiply connected bounded region in R 3 together with the mixed boundary conditions, from the complete knowledge of the eigenvalues { λ j } j = 1 ∞ for the negative Laplacian, using the asymptotic expansion of the spectral function θ ( t ) = ∑ j = 1 ∞ exp ( − t λ j ) as t → 0 .

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:243192

DOI: 10.1155/S0161171293000596

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