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dc.contributor.authorChechkin, Gregory A.
dc.contributor.authorMel'nyk, Taras A.
dc.date.accessioned2011-03-20T12:01:09Z
dc.date.accessioned2016-10-05T14:14:18Z
dc.date.available2011-03-20T12:01:09Z
dc.date.available2016-10-05T14:14:18Z
dc.date.issued2011-05-14
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1186
dc.descriptionResearch in Pairs 2009en_US
dc.description.abstractThe asymptotic behavior (as $\varepsilon \to 0$) of eigenvalues and eigenfunctions of a boundaryvalue problem for the Laplace operator in a thick cascade junction with concentrated masses is investigated. This cascade junction consists of the junction's body and great number $5N = \mathcal{O}(\varepsilon^{-1})$ of $\varepsilon$-alternating thin rods belonging to two classes. One class consists of rods of finite length and the second one consists of rods of small length of order $\mathcal{O}(\varepsilon)$. The density of the junction is order $\mathcal{O}(\varepsilon^{-\alpha})$ on the rods from the second class (the concentrated masses if $\alpha >0$) and $\mathcal{O}(1)$ outside of them. In addition, we study the influence of the concentrated masses on the asymptotic behavior of these magnitudes in the case $\alpha=1$ and $\alpha \in (0,1)$.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2011,12
dc.titleAsymptotic behavior of the eigenvalues and eigenfunctions to a spectral problem in thick cascade junction with concentrated massesen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2011-12
local.scientificprogramResearch in Pairs 2009
local.series.idOWP-2011-12
dc.identifier.urnurn:nbn:de:101:1-201104069917
dc.identifier.ppn1650844700


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