Authors: | Schweizer, Ben Urban, Maik |
Title: | On a limiting absorption principle for sesquilinear forms with an application to the Helmholtz equation in a waveguide |
Language (ISO): | en |
Abstract: | We prove a limiting absorption principle for sesquilinear forms on Hilbert spaces and apply the abstract result to a Helmholtz equation with radiation condition. The limiting absorption principle is based on a Fredholm alternative. It is applied to Helmholtz-type equations in a truncated waveguide geometry. We analyse a problem with radiation conditions on truncated domains, recently introduced in [4]. We improve the previous results by treating the limit δ→0 . |
URI: | http://hdl.handle.net/2003/38157 http://dx.doi.org/10.17877/DE290R-20136 |
Issue Date: | 2019-04 |
Appears in Collections: | Preprints der Fakultät für Mathematik Schweizer, Ben Prof. Dr. |
Files in This Item:
File | Description | Size | Format | |
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Preprint 2019-02.pdf | DNB | 376.41 kB | Adobe PDF | View/Open |
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