Autor(en): | Kirsch, Andreas Schweizer, Ben |
Titel: | Periodic wave-guides revisited: Radiation conditions, limiting absorption principles, and the space of boundes solutions |
Sprache (ISO): | en |
Zusammenfassung: | 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. |
Schlagwörter: | periodic |
URI: | http://hdl.handle.net/2003/42064 http://dx.doi.org/10.17877/DE290R-23897 |
Erscheinungsdatum: | 2023-07 |
Enthalten in den Sammlungen: | Preprints der Fakultät für Mathematik |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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Periodic wave-guides revisited (2).pdf | DNB | 478.17 kB | Adobe PDF | Öffnen/Anzeigen |
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