On the existence theorem for solutions to the inverse problem of spectral analysis (Q2784523)
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scientific article; zbMATH DE number 1732417
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence theorem for solutions to the inverse problem of spectral analysis |
scientific article; zbMATH DE number 1732417 |
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On the existence theorem for solutions to the inverse problem of spectral analysis (English)
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13 October 2002
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inverse spectral problem
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Dirichlet Laplacian
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Consider the operator \((-\Delta)^\beta +p,\) where \(-\Delta\) is the Laplacian with Dirichlet boundary conditions in the rectangle \(\Pi= \{(x,y): 0\leq x\leq a, 0\leq y\leq b\}\), and \(p\) is a potential satisfying some conditions. The authors prove a result on the existence for a related inverse spectral problem if \(\beta>3/2\) and \(a^2b^{-2}\) is an irrational number.
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