On the spectrum of the negative Laplacian for general doubly-connected bounded domains (Q1805115)
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scientific article; zbMATH DE number 753680
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the spectrum of the negative Laplacian for general doubly-connected bounded domains |
scientific article; zbMATH DE number 753680 |
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On the spectrum of the negative Laplacian for general doubly-connected bounded domains (English)
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11 June 1995
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Summary: This paper is devoted to asymptotic formulas for functions related with the spectrum of the standard Laplace operator in two and three dimensional bounded doubly connected domains with impedance boundary conditions, where the impedances are assumed to be positive functions. Moreover, asymptotic expressions for the difference of eigenvalues related to impedance boundary value problems with different impedances are derived. Further results may be obtained.
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eigenvalues of the negative Laplacian
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doubly connected domains
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impedance eigenvalue problem
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asymptotic expansions of the heat kernel
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