On a limiting absorption principle for sesquilinear forms with an application to the Helmholtz equation in a waveguide
| dc.contributor.author | Schweizer, Ben | |
| dc.contributor.author | Urban, Maik | |
| dc.date.accessioned | 2019-08-02T12:44:18Z | |
| dc.date.available | 2019-08-02T12:44:18Z | |
| dc.date.issued | 2019-04 | |
| dc.description.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 . | en |
| dc.identifier.uri | http://hdl.handle.net/2003/38157 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-20136 | |
| dc.language.iso | en | |
| dc.relation.ispartofseries | Preprint;2019-02 | |
| dc.subject.ddc | 610 | |
| dc.title | On a limiting absorption principle for sesquilinear forms with an application to the Helmholtz equation in a waveguide | en |
| dc.type | Text | de |
| dc.type.publicationtype | preprint | en |
| dcterms.accessRights | open access | |
| eldorado.secondarypublication | false |