Periodic wave-guides revisited: Radiation conditions, limiting absorption principles, and the space of boundes solutions

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.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.identifier.uri	http://hdl.handle.net/2003/42064
dc.identifier.uri	http://dx.doi.org/10.17877/DE290R-23897
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

Files

Now showing 1 - 1 of 1

Now showing 1 - 1 of 1