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Asymptotic partial decomposition of domain for spectral problems in rod structures

✍ Scribed by G.P. Panasenko; E. Pérez

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 399 KB
Volume: 87
Category: Article
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2006.10.003

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## Abstract We study the asymptotic behavior of the eigenelements of the Dirichlet problem for the Laplacian in a two‐dimensional bounded domain with thin shoots, depending on a small parameter ε. Under the assumption that the width of the shoots goes to zero, as ε tends to zero, we construct the l