Eigenvalues of the negative Laplacian for arbitrary multiply connected domains (Q1915525)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Eigenvalues of the negative Laplacian for arbitrary multiply connected domains |
scientific article; zbMATH DE number 894092
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Eigenvalues of the negative Laplacian for arbitrary multiply connected domains |
scientific article; zbMATH DE number 894092 |
Statements
Eigenvalues of the negative Laplacian for arbitrary multiply connected domains (English)
0 references
4 December 1996
0 references
Summary: The purpose of this paper is to derive some interesting asymptotic formulae for spectra of arbitrary multiply connected bounded domains in two or three dimensions, linked with variation of positive distinct functions entering the boundary conditions, using the spectral function \(\sum^\infty_{k= 1} \{\mu_k(\sigma_1,\dots, \sigma_n)+ P\}^{- 2}\) as \(P\to \infty\).
0 references
inverse problem
0 references
spectral functions
0 references
