Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kirsch, Andreas | - |
dc.contributor.author | Schweizer, Ben | - |
dc.date.accessioned | 2023-08-14T17:24:52Z | - |
dc.date.available | 2023-08-14T17:24:52Z | - |
dc.date.issued | 2023-07 | - |
dc.identifier.uri | http://hdl.handle.net/2003/42064 | - |
dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-23897 | - |
dc.description.abstract | We study the Helmholtz equation with periodic coefficients in a closed wave-guide. A functional analytic approach is used to formulate and to solve the radiation problem in a self-contained exposition. In this context, we simplify the non-degeneracy assumption on the frequency. Limiting absorption principles (LAPs) are studied and the radiation condition corresponding to the chosen LAP is derived; we include an example to show different LAPs lead, in general, to different solutions of the radiation problem. Finally, we characterize the set of all bounded solutions to the homogeneous problem. | en |
dc.language.iso | en | - |
dc.subject | periodic | en |
dc.subject.ddc | 610 | - |
dc.title | Periodic wave-guides revisited: Radiation conditions, limiting absorption principles, and the space of boundes solutions | en |
dc.type | Text | de |
dc.type.publicationtype | preprint | en |
dcterms.accessRights | open access | - |
eldorado.secondarypublication | false | - |
Appears in Collections: | Preprints der Fakultät für Mathematik |
Files in This Item:
File | Description | Size | Format | |
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Periodic wave-guides revisited (2).pdf | DNB | 478.17 kB | Adobe PDF | View/Open |
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