Indefinite boundary value problems on graphs (Q2890629)
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scientific article; zbMATH DE number 6045005
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Indefinite boundary value problems on graphs |
scientific article; zbMATH DE number 6045005 |
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Indefinite boundary value problems on graphs (English)
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11 June 2012
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differential operators
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graphs
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indefinite
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half-range completeness
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eigenvalue asymptotics
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This paper studies the spectral theory of indefinite second order differential operators on metric graphs. The authors develop a variational formulation, prove completeness results for eigenfunctions, and obtain a max-min principle, which is applied to obtain an analog of Dirichlet-Neumann bracketing and asymptotics for the eigenvalues.
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