An inverse eigenvalue problem for an arbitrary multiply connected bounded region in R 2

E. M. E. Zayed

International Journal of Mathematics and Mathematical Sciences, 1991, vol. 14, 1-9

Abstract:

The basic problem is to determine the geometry of an arbitrary multiply connected bounded region in R 2 together with the mixed boundary conditions, from the complete knowledge of the eigenvalues { λ i } j = 1 ∞ for the Laplace operator, using the asymptotic expansion of the spectral function θ ( t ) = ∑ j = 1 ∞ exp ( − t λ i ) as t → 0 .

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:924932

DOI: 10.1155/S0161171291000777

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