Agranovich, M. S. and Mennicken, Reinhard (1999) Spectral boundary value problems for the Helmholtz equation with Spectral parameter in boundary conditions on a non-smooth surface. SBORNIK MATHEMATICS, 190 (1-2). pp. 29-69. ISSN 1064-5616,
Full text not available from this repository.Abstract
The spectral properties of four problems for the Helmholtz equation with spectral parameter in boundary or transmission conditions on a closed Lipschitz surface S are studied. These problems are related to the classical integral operators of potential type on S for the Helmholtz equation. They have been studied before in the case when S is infinitely smooth. It is shown that the most important properties of eigenvalues and root functions hold also for Lipschitz surfaces S. The machinery of potential theory in Lipschitz domains and of spectral theory is used in the proofs.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | LIPSCHITZ-DOMAINS; LAYER POTENTIALS; DIRICHLET PROBLEM; C1-DOMAINS; CYLINDERS; OPERATORS; CURVES; SPACES; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 06 Dec 2022 07:09 |
| Last Modified: | 06 Dec 2022 07:09 |
| URI: | https://pred.uni-regensburg.de/id/eprint/48736 |
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