An inverse eigenvalue problem for an arbitrary multiply connected bounded region in \(R^ 2\) (Q1178800)
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scientific article; zbMATH DE number 22396
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An inverse eigenvalue problem for an arbitrary multiply connected bounded region in \(R^ 2\) |
scientific article; zbMATH DE number 22396 |
Statements
An inverse eigenvalue problem for an arbitrary multiply connected bounded region in \(R^ 2\) (English)
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26 June 1992
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An asymptotic expansion of the spectral (trace) function of a \(2-D\) arbitrary multiply connected membrane subject to mixed boundary conditions is reported. Thus the inverse eigenvalue problem of determining the geometry of the membrane, provided the eigenvalues of the Laplacian and the boundary conditions are available, is solved.
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reconstruction of a 2-dimensional membrane
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asymptotic expansion of the spectral (trace) function
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